From eb3823557f83ea682e521c74d2bf2850e6808e10 Mon Sep 17 00:00:00 2001 From: ilhamv Date: Fri, 2 Feb 2024 10:52:49 -0800 Subject: [PATCH 01/31] keep inducing particle alive upon scattering and fission --- mcdc/kernel.py | 26 ++++++++++++++++-- test/regression/azurv1/answer.h5 | Bin 191232 -> 192976 bytes .../regression/c5g7_2d_k_eigenvalue/answer.h5 | Bin 477056 -> 489128 bytes test/regression/cooper2/answer.h5 | Bin 221912 -> 227744 bytes test/regression/dsm_azurv1/answer.h5 | Bin 264056 -> 265800 bytes test/regression/dsm_lattice/answer.h5 | Bin 201016 -> 205048 bytes test/regression/dsm_lattice/input.py | 2 +- test/regression/inf_shem361/answer.h5 | Bin 4404665 -> 4406409 bytes .../inf_shem361_k_eigenvalue/answer.h5 | Bin 4409617 -> 4411361 bytes test/regression/inf_shem361_td/answer.h5 | Bin 4978537 -> 4980281 bytes test/regression/iqmc_cooper2/answer.h5 | Bin 334248 -> 340064 bytes .../iqmc_kornreich_davidson/answer.h5 | Bin 149064 -> 151952 bytes test/regression/iqmc_kornreich_pi/answer.h5 | Bin 151384 -> 154272 bytes test/regression/iqmc_reed/answer.h5 | Bin 244872 -> 252664 bytes test/regression/iqmc_sood_davidson/answer.h5 | Bin 120656 -> 122400 bytes test/regression/iqmc_sood_pi/answer.h5 | Bin 120656 -> 122400 bytes test/regression/kobayashi3-TD/answer.h5 | Bin 2226920 -> 2240000 bytes test/regression/kornreich/answer.h5 | Bin 157312 -> 160200 bytes test/regression/slab_absorbium/answer.h5 | Bin 217384 -> 221416 bytes test/regression/slab_isobeam_td/answer.h5 | Bin 164864 -> 166608 bytes test/regression/slab_moving/answer.h5 | Bin 299360 -> 302248 bytes test/regression/smrg7/answer.h5 | Bin 817856 -> 832184 bytes test/regression/variance_deconv/answer.h5 | Bin 180232 -> 184264 bytes 23 files changed, 24 insertions(+), 4 deletions(-) diff --git a/mcdc/kernel.py b/mcdc/kernel.py index 3eb130dc..e06489aa 100644 --- a/mcdc/kernel.py +++ b/mcdc/kernel.py @@ -2020,8 +2020,17 @@ def scattering(P, mcdc): # Sample scattering phase space sample_phasespace_scattering(P, material, P_new, mcdc) - # Bank - add_particle(P_new, mcdc["bank_active"]) + # Bank, but keep it if it is the last particle + if n == N-1: + P['alive'] = True + P['ux'] = P_new['ux'] + P['uy'] = P_new['uy'] + P['uz'] = P_new['uz'] + P['g'] = P_new['g'] + P['E'] = P_new['E'] + P['w'] = P_new['w'] + else: + add_particle(P_new, mcdc["bank_active"]) @njit @@ -2289,7 +2298,18 @@ def fission(P, mcdc): elif mcdc["setting"]["mode_eigenvalue"]: add_particle(P_new, mcdc["bank_census"]) else: - add_particle(P_new, mcdc["bank_active"]) + # Keep it if it is the last particle + if n == N-1: + P['alive'] = True + P['ux'] = P_new['ux'] + P['uy'] = P_new['uy'] + P['uz'] = P_new['uz'] + P['t'] = P_new['t'] + P['g'] = P_new['g'] + P['E'] = P_new['E'] + P['w'] = P_new['w'] + else: + add_particle(P_new, mcdc["bank_active"]) @njit diff --git a/test/regression/azurv1/answer.h5 b/test/regression/azurv1/answer.h5 index a08436a0e6557cb99e2880408116f8085417403f..3f35429df548483ffbf3668f4c23d1acfe65f11b 100644 GIT binary patch delta 25958 zcmce-XFycVvNp;Zf+PhD1eGMHWKdKv79t`>5KzDfDvBUMK_uybfgm7Z0Yi|S^9%zF zIp>^{N-|*vR8&;FYt0Pqecp5TchC3ZTz^>AVRctmKV4PbQ@9WCbUo(@lp%D@P~?uW za%o5)EcibS3gtC|PDk)_d(+D-Ec~rOr^L9cS{cRhcDy9h&nW2(qCM=|n&dG8z04Sb zg=L6Y{yxE|7iJEn=fLQ(*iWyD!P(W2BzGYls06DpRbxpLVY7Du;|o(~2GwH@KxSt! 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test/verification/benchmark/c5g7-td/input_td.py delete mode 100644 test/verification/benchmark/c5g7-td/mpact_TD4-4.txt delete mode 100644 test/verification/benchmark/c5g7-td/process_td.py delete mode 100644 test/verification/benchmark/reed/input.py delete mode 100644 test/verification/benchmark/reed/plot.py delete mode 100644 test/verification/benchmark/reed/process.py delete mode 100644 test/verification/benchmark/reed/reference.py diff --git a/test/conftest.py b/test/conftest.py deleted file mode 100644 index dd518a8f..00000000 --- a/test/conftest.py +++ /dev/null @@ -1,33 +0,0 @@ -import pytest - - -# Moves working directory to test file directory -@pytest.fixture(autouse=True) -def change_test_dir(request, monkeypatch): - monkeypatch.chdir(request.fspath.dirname) - - -# Set mode (python, numba), mpi (srun, mpiexec), and number of ranks -def pytest_addoption(parser): - parser.addoption( - "--mode", action="store", default="python", choices=("python", "numba") - ) - parser.addoption( 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/dev/null @@ -1,302 +0,0 @@ -import h5py -import numpy as np - -import mcdc - -# ============================================================================= -# Materials -# ============================================================================= - -# Load material data -lib = h5py.File("c5g7.h5", "r") - - -# Setter -def set_mat(mat): - return mcdc.material( - capture=mat["capture"][:], - scatter=mat["scatter"][:], - fission=mat["fission"][:], - nu_p=mat["nu_p"][:], - nu_d=mat["nu_d"][:], - chi_p=mat["chi_p"][:], - chi_d=mat["chi_d"][:], - speed=mat["speed"], - decay=mat["decay"], - ) - - -mat_uo2 = set_mat(lib["uo2"]) # Fuel: UO2 -mat_mox43 = set_mat(lib["mox43"]) # Fuel: MOX 4.3% -mat_mox7 = set_mat(lib["mox7"]) # Fuel: MOX 7.0% -mat_mox87 = set_mat(lib["mox87"]) # Fuel: MOX 8.7% -mat_gt = set_mat(lib["gt"]) # Guide tube -mat_fc = set_mat(lib["fc"]) # Fission chamber -mat_cr = set_mat(lib["cr"]) # Control rod -mat_mod = set_mat(lib["mod"]) # Moderator - -# ============================================================================= -# Pin cells -# ============================================================================= - -pitch = 1.26 -radius = 0.54 -core_height = 128.52 -refl_thick = 21.42 - -# Control rod banks fractions -# All out: 0.0 -# All in : 1.0 -cr1 = 0.8 -cr2 = 0.6 -cr3 = 0.4 -cr4 = 0.2 -# Control rod banks interfaces -cr1 = core_height * (0.5 - cr1) -cr2 = core_height * (0.5 - cr2) -cr3 = core_height * (0.5 - cr3) -cr4 = core_height * (0.5 - cr4) - -# Surfaces -cy = mcdc.surface("cylinder-z", center=[0.0, 0.0], radius=radius) -z1 = mcdc.surface("plane-z", z=cr1) # Control rod banks interfaces -z2 = mcdc.surface("plane-z", z=cr2) -z3 = mcdc.surface("plane-z", z=cr3) -z4 = mcdc.surface("plane-z", z=cr4) -zf = mcdc.surface("plane-z", z=core_height / 2) - -# Fission chamber -fc = mcdc.cell([-cy], mat_fc) -mod = mcdc.cell([+cy], mat_mod) -fission_chamber = mcdc.universe([fc, mod])["ID"] - -# Fuel rods -uo2 = mcdc.cell([-cy, -zf], mat_uo2) -mox4 = mcdc.cell([-cy, -zf], mat_mox43) -mox7 = mcdc.cell([-cy, -zf], mat_mox7) -mox8 = mcdc.cell([-cy, -zf], mat_mox87) -moda = mcdc.cell([-cy, +zf], mat_mod) # Water above pin -fuel_uo2 = mcdc.universe([uo2, mod, moda])["ID"] -fuel_mox43 = mcdc.universe([mox4, mod, moda])["ID"] -fuel_mox7 = mcdc.universe([mox7, mod, moda])["ID"] -fuel_mox87 = mcdc.universe([mox8, mod, moda])["ID"] - -# Control rods and guide tubes -cr1 = mcdc.cell([-cy, +z1], mat_cr) -cr2 = mcdc.cell([-cy, +z2], mat_cr) -cr3 = mcdc.cell([-cy, +z3], mat_cr) -cr4 = mcdc.cell([-cy, +z4], mat_cr) -gt1 = mcdc.cell([-cy, -z1], mat_gt) -gt2 = mcdc.cell([-cy, -z2], mat_gt) -gt3 = mcdc.cell([-cy, -z3], mat_gt) -gt4 = mcdc.cell([-cy, -z4], mat_gt) -control_rod1 = mcdc.universe([cr1, gt1, mod])["ID"] -control_rod2 = mcdc.universe([cr2, gt2, mod])["ID"] -control_rod3 = mcdc.universe([cr3, gt3, mod])["ID"] -control_rod4 = mcdc.universe([cr4, gt4, mod])["ID"] - -# ============================================================================= -# Fuel lattices -# ============================================================================= - -# UO2 lattice 1 -u = fuel_uo2 -c = control_rod1 -f = fission_chamber -lattice_1 = mcdc.lattice( - x=[-pitch * 17 / 2, pitch, 17], - y=[-pitch * 17 / 2, pitch, 17], - universes=[ - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], - [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, c, u, u, c, u, u, f, u, u, c, u, u, c, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], - [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - ], -) - -# MOX lattice 2 -l = fuel_mox43 -m = fuel_mox7 -n = fuel_mox87 -c = control_rod2 -f = fission_chamber -lattice_2 = mcdc.lattice( - x=[-pitch * 17 / 2, pitch, 17], - y=[-pitch * 17 / 2, pitch, 17], - universes=[ - [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], - [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], - [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], - [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], - [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], - [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, c, n, n, c, n, n, f, n, n, c, n, n, c, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], - [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], - [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], - [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], - [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], - [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], - ], -) - -# MOX lattice 3 -l = fuel_mox43 -m = fuel_mox7 -n = fuel_mox87 -c = control_rod3 -f = fission_chamber -lattice_3 = mcdc.lattice( - x=[-pitch * 17 / 2, pitch, 17], - y=[-pitch * 17 / 2, pitch, 17], - universes=[ - [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], - [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], - [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], - [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], - [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], - [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, c, n, n, c, n, n, f, n, n, c, n, n, c, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], - [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], - [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], - [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], - [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], - [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], - ], -) - -# UO2 lattice 4 -u = fuel_uo2 -c = control_rod4 -f = fission_chamber -lattice_4 = mcdc.lattice( - x=[-pitch * 17 / 2, pitch, 17], - y=[-pitch * 17 / 2, pitch, 17], - universes=[ - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], - [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, c, u, u, c, u, u, f, u, u, c, u, u, c, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], - [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - ], -) - -# ============================================================================= -# Assemblies and core -# ============================================================================= - -# Surfaces -x0 = mcdc.surface("plane-x", x=0.0, bc="reflective") -x1 = mcdc.surface("plane-x", x=pitch * 17) -x2 = mcdc.surface("plane-x", x=pitch * 17 * 2) -x3 = mcdc.surface("plane-x", x=pitch * 17 * 3, bc="vacuum") - -y0 = mcdc.surface("plane-y", y=-pitch * 17 * 3, bc="vacuum") -y1 = mcdc.surface("plane-y", y=-pitch * 17 * 2) -y2 = mcdc.surface("plane-y", y=-pitch * 17) -y3 = mcdc.surface("plane-y", y=0.0, bc="reflective") - -z0 = mcdc.surface("plane-z", z=-(core_height / 2 + refl_thick), bc="vacuum") -z1 = mcdc.surface("plane-z", z=-(core_height / 2)) -z2 = mcdc.surface("plane-z", z=(core_height / 2 + refl_thick), bc="vacuum") - -# Assembly cells -center = np.array([pitch * 17 / 2, -pitch * 17 / 2, 0.0]) -assembly_1 = mcdc.cell([+x0, -x1, +y2, -y3, +z1, -z2], lattice_1, lattice_center=center) - -center += np.array([pitch * 17, 0.0, 0.0]) -assembly_2 = mcdc.cell([+x1, -x2, +y2, -y3, +z1, -z2], lattice_2, lattice_center=center) - -center += np.array([-pitch * 17, -pitch * 17, 0.0]) -assembly_3 = mcdc.cell([+x0, -x1, +y1, -y2, +z1, -z2], lattice_3, lattice_center=center) - -center += np.array([pitch * 17, 0.0, 0.0]) -assembly_4 = mcdc.cell([+x1, -x2, +y1, -y2, +z1, -z2], lattice_4, lattice_center=center) - -# Bottom reflector cell -reflector_bottom = mcdc.cell([+x0, -x3, +y0, -y3, +z0, -z1], mat_mod) - -# Side reflectors -reflector_south = mcdc.cell([+x0, -x3, +y0, -y1, +z1, -z2], mat_mod) -reflector_east = mcdc.cell([+x2, -x3, +y1, -y3, +z1, -z2], mat_mod) - -# Root universe -mcdc.universe( - [ - assembly_1, - assembly_2, - assembly_3, - assembly_4, - reflector_bottom, - reflector_south, - reflector_east, - ], - root=True, -) - -# ============================================================================= -# Set source -# ============================================================================= -# Uniform in energy - -source = mcdc.source( - x=[0.0, pitch * 17 * 2], - y=[-pitch * 17 * 2, 0.0], - z=[-core_height / 2, core_height / 2], - energy=np.ones(7), -) - -# ============================================================================= -# Set tally and parameter, and then run mcdc -# ============================================================================= - -# Tally -x_grid = np.linspace(0.0, pitch * 17 * 3, 17 * 3 + 1) -y_grid = np.linspace(-pitch * 17 * 3, 0.0, 17 * 3 + 1) -z_grid = np.linspace( - -(core_height / 2 + refl_thick), (core_height / 2 + refl_thick), 102 + 17 * 2 + 1 -) - -mcdc.tally(scores=["flux", "fission"], x=x_grid, y=y_grid, z=z_grid) - -# Setting -mcdc.setting(N_particle=1e6) -mcdc.eigenmode(N_inactive=50, N_active=100, gyration_radius="all") -mcdc.population_control() - -# Run -mcdc.run() diff --git a/test/performance/c5g7/k-eigenvalue/process.py b/test/performance/c5g7/k-eigenvalue/process.py deleted file mode 100644 index ff3053b0..00000000 --- a/test/performance/c5g7/k-eigenvalue/process.py +++ /dev/null @@ -1,230 +0,0 @@ -import numpy as np -import matplotlib.pyplot as plt -import h5py -from matplotlib import cm -from matplotlib import colors - - -# ============================================================================= -# Plot results -# ============================================================================= - -# Results -with h5py.File("output.h5", "r") as f: - phi_avg = f["tally/flux/mean"][:] - phi_sd = f["tally/flux/sdev"][:] - fis_avg = f["tally/fission/mean"][:] - fis_sd = f["tally/fission/sdev"][:] - k = f["k_cycle"][:] - k_avg = f["k_mean"][()] - k_sd = f["k_sdev"][()] - rg = f["gyration_radius"][:] - x = f["tally/grid/x"][:] - y = f["tally/grid/y"][:] - z = f["tally/grid/z"][:] - -dx = x[1] - x[0] -dz = z[1] - z[0] -dV = dx * dx * dz - -norm = np.sum(phi_avg) -phi_avg = phi_avg / norm / dV -phi_sd = phi_sd / norm / dV -fis_avg = fis_avg / norm / dV -fis_sd = fis_sd / norm / dV - -phi_fast = np.zeros_like(phi_avg[0]) -phi_thermal = np.zeros_like(phi_avg[0]) -phi_fast_sd = np.zeros_like(phi_avg[0]) -phi_thermal_sd = np.zeros_like(phi_avg[0]) -fis_ = np.zeros_like(phi_avg[0]) -fis__sd = np.zeros_like(phi_avg[0]) - -for i in range(2): - phi_fast += phi_avg[i] - phi_fast_sd += np.square(phi_sd[i]) -phi_fast_sd = np.sqrt(phi_fast_sd) -for i in range(2, 7): - phi_thermal += phi_avg[i] - phi_thermal_sd += np.square(phi_sd[i]) -phi_thermal_sd = np.sqrt(phi_thermal_sd) -for i in range(7): - fis_ += fis_avg[i] - fis__sd += np.square(fis_sd[i]) -fis__sd = np.sqrt(fis__sd) - -print("k = %.5f +- %.5f" % (k_avg, k_sd)) - -# Plot -N_iter = len(k) -(p1,) = plt.plot(np.arange(1, N_iter + 1), k, "-b", label="MC") -(p2,) = plt.plot( - np.arange(1, N_iter + 1), np.ones(N_iter) * k_avg, ":r", label="MC-avg" -) -plt.fill_between( - np.arange(1, N_iter + 1), - np.ones(N_iter) * (k_avg - k_sd), - np.ones(N_iter) * (k_avg + k_sd), - alpha=0.2, - color="r", -) -plt.xlabel("Iteration #") -plt.ylabel(r"$k$") -plt.grid() -ax2 = plt.gca().twinx() -(p3,) = ax2.plot(np.arange(1, N_iter + 1), rg, "g--", label="GyRad") -plt.ylabel(r"Gyration radius [cm]") -lines = [p1, p2, p3] -plt.legend(lines, [l.get_label() for l in lines]) -plt.show() - -# X-Z plane -x_mid = 0.5 * (x[1:] + x[:-1]) -z_mid = 0.5 * (z[1:] + z[:-1]) -X, Z = np.meshgrid(z_mid, x_mid) -phi_fast_xz = np.sum(phi_fast, axis=1) -phi_thermal_xz = np.sum(phi_thermal, axis=1) -fis_xz = np.sum(fis_, axis=1) -phi_fast_xz_sd = np.sqrt(np.sum(np.square(phi_fast_sd), axis=1)) / phi_fast_xz -phi_thermal_xz_sd = np.sqrt(np.sum(np.square(phi_thermal_sd), axis=1)) / phi_thermal_xz -fis_xz_sd = np.sqrt(np.sum(np.square(fis__sd), axis=1)) / fis_xz - -plt.pcolormesh(Z, X, phi_fast_xz, shading="nearest") -plt.colorbar() -ax = plt.gca() -ax.set_aspect("equal") -plt.xlabel(r"$x$ [cm]") -plt.ylabel(r"$z$ [cm]") -plt.title(r"Fast neutron flux") -plt.show() - -plt.pcolormesh(Z, X, phi_fast_xz_sd, shading="nearest") -plt.colorbar() -ax = plt.gca() -ax.set_aspect("equal") -plt.xlabel(r"$x$ [cm]") -plt.ylabel(r"$z$ [cm]") -plt.title(r"Fast neutron flux stdev") -plt.show() - -plt.pcolormesh(Z, X, phi_thermal_xz, shading="nearest") -plt.colorbar() -ax = plt.gca() -ax.set_aspect("equal") -plt.xlabel(r"$x$ [cm]") -plt.ylabel(r"$z$ [cm]") -plt.title(r"Thermal neutron flux") -plt.show() - -plt.pcolormesh(Z, X, phi_thermal_xz_sd, shading="nearest") -plt.colorbar() -ax = plt.gca() -ax.set_aspect("equal") -plt.xlabel(r"$x$ [cm]") -plt.ylabel(r"$z$ [cm]") -plt.title(r"Thermal neutron flux stdev") -plt.show() - -plt.pcolormesh(Z, X, fis_xz, shading="nearest") -plt.colorbar() -ax = plt.gca() -ax.set_aspect("equal") -plt.xlabel(r"$x$ [cm]") -plt.ylabel(r"$z$ [cm]") -plt.title(r"Fission rate") -plt.show() - -plt.pcolormesh(Z, X, fis_xz_sd, shading="nearest") -plt.colorbar() -ax = plt.gca() -ax.set_aspect("equal") -plt.xlabel(r"$x$ [cm]") -plt.ylabel(r"$z$ [cm]") -plt.title(r"Fission rate stdev") -plt.show() - -# X-Y plane -Y, X = np.meshgrid(x_mid, x_mid) -phi_fast_xy = np.sum(phi_fast, axis=2) -phi_thermal_xy = np.sum(phi_thermal, axis=2) -fis_xy = np.sum(fis_, axis=2) -phi_fast_xy_sd = np.sqrt(np.sum(np.square(phi_fast_sd), axis=2)) / phi_fast_xy -phi_thermal_xy_sd = np.sqrt(np.sum(np.square(phi_thermal_sd), axis=2)) / phi_thermal_xy -fis_xy_sd = np.sqrt(np.sum(np.square(fis__sd), axis=2)) / fis_xy - -plt.pcolormesh(X, Y, phi_fast_xy, shading="nearest") -plt.colorbar() -ax = plt.gca() -ax.set_aspect("equal") -plt.xlabel(r"$x$ [cm]") -plt.ylabel(r"$y$ [cm]") -plt.title(r"Fast neutron flux") -plt.show() - -plt.pcolormesh(X, Y, phi_fast_xy_sd, shading="nearest") -plt.colorbar() -ax = plt.gca() -ax.set_aspect("equal") -plt.xlabel(r"$x$ [cm]") -plt.ylabel(r"$y$ [cm]") -plt.title(r"Fast neutron flux stdev") -plt.show() - -plt.pcolormesh(X, Y, phi_thermal_xy, shading="nearest") -plt.colorbar() -ax = plt.gca() -ax.set_aspect("equal") -plt.xlabel(r"$x$ [cm]") -plt.ylabel(r"$y$ [cm]") -plt.title(r"Thermal neutron flux") -plt.show() - -plt.pcolormesh(X, Y, phi_thermal_xy_sd, shading="nearest") -plt.colorbar() -ax = plt.gca() -ax.set_aspect("equal") -plt.xlabel(r"$x$ [cm]") -plt.ylabel(r"$y$ [cm]") -plt.title(r"Thermal neutron flux stdev") -plt.show() - -plt.pcolormesh(X, Y, fis_xy, shading="nearest") -plt.colorbar() -ax = plt.gca() -ax.set_aspect("equal") -plt.xlabel(r"$x$ [cm]") -plt.ylabel(r"$y$ [cm]") -plt.title(r"Fission rate") -plt.show() - -plt.pcolormesh(X, Y, fis_xy_sd, shading="nearest") -plt.colorbar() -ax = plt.gca() -ax.set_aspect("equal") -plt.xlabel(r"$x$ [cm]") -plt.ylabel(r"$y$ [cm]") -plt.title(r"Fission rate stdev") -plt.show() - - -""" -# Mesh grid -X,Y,Z = np.meshgrid(x,y,z) - -# Voxel fill -fill = np.zeros_like(phi_fast, dtype=bool) -Nx = len(x)-1 -Ny = len(y)-1 -Nz = len(z)-1 - -fill[int(Nx/2):,int(Ny/2):,:] = True - -# Convert data to colors -norm = colors.Normalize() -phi_fast = cm.viridis(norm(phi_fast)) - -ax = plt.figure().add_subplot(projection='3d') -ax.voxels(X, Y, Z, fill, facecolors=phi_fast) -ax.set(xlabel='x (cm)', ylabel='y (cm)', zlabel='z (cm)') -plt.show() -""" diff --git a/test/regression/README.md b/test/regression/README.md index 9685bf6c..b9f5e443 100644 --- a/test/regression/README.md +++ b/test/regression/README.md @@ -27,7 +27,7 @@ python run.py --mpiexec= To add a new test: 1. Create a folder. The name of the folder will be the test name. -2. Add the input file. Name it`input.py`. -3. Add the answer key file. Name it `answer.h5`. +2. Add the input file named `input.py`. +3. Add the answer key file named `answer.h5`. 4. Make sure that the number of particles run is large enough for a good test. -5. If the test runs longer than 5 seconds, consider decreasing the number of particles. +5. If the test runs longer than 10 seconds in serial Python mode, consider decreasing the number of particles. diff --git a/test/verification/analytic/cleanup.py b/test/verification/analytic/cleanup.py deleted file mode 100644 index 8bb14f1e..00000000 --- a/test/verification/analytic/cleanup.py +++ /dev/null @@ -1,19 +0,0 @@ -import numpy as np -import os -import sys - -os.system("rm results/*png") - -# Fixed source -for task in os.scandir("./fixed_source"): - os.chdir(task) - os.system("rm output*") - os.chdir(r"../..") - -# Eigenvalue -""" -for task in os.scandir('./eigenvalue'): - os.chdir(task) - os.system("rm output*") - os.chdir(r"../..") -""" diff --git a/test/verification/analytic/display.py b/test/verification/analytic/display.py deleted file mode 100644 index 93f8db2f..00000000 --- a/test/verification/analytic/display.py +++ /dev/null @@ -1,5 +0,0 @@ -import os -import glob - -for name in glob.glob("results/*.png"): - os.system("display %s" % name) diff --git a/test/verification/analytic/fixed_source/azurv1_pl_super/input.py b/test/verification/analytic/fixed_source/azurv1_pl_super/input.py deleted file mode 100644 index aa138841..00000000 --- a/test/verification/analytic/fixed_source/azurv1_pl_super/input.py +++ /dev/null @@ -1,50 +0,0 @@ -import numpy as np -import sys - -import mcdc - -# ============================================================================= -# Set model -# ============================================================================= -# Infinite medium with isotropic plane surface at the center -# Based on Ganapol LA-UR-01-1854 (AZURV1 benchmark) -# Effective scattering ratio c = 1.1 - -# Set materials -m = mcdc.material( - capture=np.array([1.0 / 3.0]), - scatter=np.array([[1.0 / 3.0]]), - fission=np.array([1.0 / 3.0]), - nu_p=np.array([2.3]), -) - -# Set surfaces -s1 = mcdc.surface("plane-x", x=-1e10, bc="reflective") -s2 = mcdc.surface("plane-x", x=1e10, bc="reflective") - -# Set cells -mcdc.cell([+s1, -s2], m) - -# ============================================================================= -# Set source -# ============================================================================= -# Isotropic pulse at x=t=0 - -mcdc.source(point=[0.0, 0.0, 0.0], isotropic=True, time=[1e-10, 1e-10]) - -# ============================================================================= -# Set tally, setting, and run mcdc -# ============================================================================= - -# Tally: cell-average, cell-edge, and time-edge scalar fluxes -mcdc.tally( - scores=["flux"], - x=np.linspace(-20.5, 20.5, 202), - t=np.linspace(0.0, 20.0, 21), -) - -# Setting -mcdc.setting(N_particle=1000) - -# Run -mcdc.run() diff --git a/test/verification/analytic/fixed_source/azurv1_pl_super/plot.py b/test/verification/analytic/fixed_source/azurv1_pl_super/plot.py deleted file mode 100644 index 67b8f932..00000000 --- a/test/verification/analytic/fixed_source/azurv1_pl_super/plot.py +++ /dev/null @@ -1,60 +0,0 @@ -import numpy as np -import matplotlib.pyplot as plt -import matplotlib.animation as animation -import h5py -import sys - - -# Reference solution -data = np.load("reference.npz") -phi_ref = data["phi"] - -# Get results -output = sys.argv[1] -with h5py.File(output, "r") as f: - x = f["tally/grid/x"][:] - dx = x[1:] - x[:-1] - x_mid = 0.5 * (x[:-1] + x[1:]) - t = f["tally/grid/t"][:] - dt = t[1:] - t[:-1] - K = len(t) - 1 - - phi = f["tally/flux/mean"][:] - phi_sd = f["tally/flux/sdev"][:] - - # Normalize - for k in range(K): - phi[k] /= dx * dt[k] - phi_sd[k] /= dx * dt[k] - -# Flux - average -fig = plt.figure() -ax = plt.axes( - xlim=(-21.889999999999997, 21.89), ylim=(-0.042992644459595206, 0.9028455336514992) -) -ax.grid() -ax.set_xlabel(r"$x$") -ax.set_ylabel(r"Flux") -ax.set_title(r"$\bar{\phi}_{k,j}$") -(line1,) = ax.plot([], [], "-b", label="MC") -(line2,) = ax.plot([], [], "--r", label="Ref.") -fb = ax.fill_between([], [], [], [], alpha=0.2, color="b") -text = ax.text(0.02, 0.9, "", transform=ax.transAxes) -ax.legend() - - -def animate(k): - global fb - fb.remove() - line1.set_data(x_mid, phi[k, :]) - fb = ax.fill_between( - x_mid, phi[k, :] - phi_sd[k, :], phi[k, :] + phi_sd[k, :], alpha=0.2, color="b" - ) - line2.set_data(x_mid, phi_ref[k, :]) - text.set_text(r"$t \in [%.1f,%.1f]$ s" % (t[k], t[k + 1])) - return line1, line2, text - - -simulation = animation.FuncAnimation(fig, animate, frames=K) -writervideo = animation.FFMpegWriter(fps=6) -plt.show() diff --git a/test/verification/analytic/fixed_source/azurv1_pl_super/process.py b/test/verification/analytic/fixed_source/azurv1_pl_super/process.py deleted file mode 100644 index 792365a0..00000000 --- a/test/verification/analytic/fixed_source/azurv1_pl_super/process.py +++ /dev/null @@ -1,45 +0,0 @@ -import numpy as np -import h5py -import sys - -sys.path.append("../../") -import tool - - -# Cases run -N_min = int(sys.argv[1]) -N_max = int(sys.argv[2]) -N_particle_list = np.logspace(N_min, N_max, (N_max - N_min) * 2 + 1) - -# Reference solution -data = np.load("reference.npz") -phi_ref = data["phi"] - -# Error containers -error = np.zeros(len(N_particle_list)) - -error_max = np.zeros(len(N_particle_list)) - -# Calculate error -for i, N_particle in enumerate(N_particle_list): - # Get results - with h5py.File("output_%i.h5" % int(N_particle), "r") as f: - x = f["tally/grid/x"][:] - dx = x[1:] - x[:-1] - t = f["tally/grid/t"][:] - dt = t[1:] - t[:-1] - K = len(t) - 1 - - phi = f["tally/flux/mean"][:] - - # Normalize - for k in range(K): - phi[k] /= dx * dt[k] - - # Get error - error[i] = tool.error(phi, phi_ref) - - error_max[i] = tool.error_max(phi, phi_ref) - -# Plot -tool.plot_convergence("azurv1_pl_flux", N_particle_list, error, error_max) diff --git a/test/verification/analytic/fixed_source/azurv1_pl_super/reference.npz b/test/verification/analytic/fixed_source/azurv1_pl_super/reference.npz deleted file mode 100644 index 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--- a/test/verification/analytic/fixed_source/azurv1_pl_super/reference.py +++ /dev/null @@ -1,72 +0,0 @@ -import numpy as np -from scipy.integrate import quad - - -# ============================================================================= -# Reference solution generator -# ============================================================================= - -# Scattering ratio -c = 1.1 -i = complex(0, 1) - -# Spatial grid -J = 201 -x = np.linspace(-20.5, 20.5, J + 1) - -# Time grid -K = 20 -t = np.linspace(0.0, 20.0, K + 1) - - -def integrand(u, eta, t): - q = (1 + eta) / (1 - eta) - xi = (np.log(q) + i * u) / (eta + i * np.tan(u / 2)) - return ( - 1.0 - / (np.cos(u / 2)) ** 2 - * (xi**2 * np.e ** (c * t / 2 * (1 - eta**2) * xi)).real - ) - - -def phi(x, t): - if t == 0.0 or abs(x) >= t: - return 0.0 - eta = x / t - integral = quad(integrand, 0.0, np.pi, args=(eta, t))[0] - return np.e**-t / 2 / t * (1 + c * t / 4 / np.pi * (1 - eta**2) * integral) - - -def phi_t(t, x): - if t == 0.0 or abs(x) >= t: - return 0.0 - eta = x / t - integral = quad(integrand, 0.0, np.pi, args=(eta, t))[0] - return np.e**-t / 2 / t * (1 + c * t / 4 / np.pi * (1 - eta**2) * integral) - - -def phiX(x, t0, t1): - return quad(phi_t, t0, t1, args=(x))[0] - - -phi_avg = np.zeros([K, J]) - -for k in range(K): - for j in range(J): - x0 = x[j] - x1 = x[j + 1] - dx = x1 - x0 - t0 = t[k] - t1 = t[k + 1] - dt = t1 - t0 - phi_avg[k, j] = quad(phiX, x0, x1, args=(t0, t1))[0] / dx / dt - -for j in range(J + 1): - for k in range(K): - t0 = t[k] - t1 = t[k + 1] - dt = t1 - t0 - -phi_avg = np.nan_to_num(phi_avg) - -np.savez("reference.npz", x=x, t=t, phi=phi_avg) diff --git a/test/verification/analytic/fixed_source/inf_shem361/SHEM-361.npz b/test/verification/analytic/fixed_source/inf_shem361/SHEM-361.npz deleted file mode 100644 index 6ba2c1f4b355b9709b26c0eb22e56db53c64c0f5..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 4232222 zcmd42c{oVX5oHXS${a;W 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b/test/verification/analytic/fixed_source/inf_shem361/input.py deleted file mode 100644 index cb2965ae..00000000 --- a/test/verification/analytic/fixed_source/inf_shem361/input.py +++ /dev/null @@ -1,62 +0,0 @@ -import numpy as np -import sys - -import mcdc - - -# ============================================================================= -# Set model -# ============================================================================= -# The infinite homogenous medium is modeled with reflecting slab - -# Load material data -with np.load("SHEM-361.npz") as data: - SigmaC = data["SigmaC"] * 1.5 # /cm - SigmaS = data["SigmaS"] - SigmaF = data["SigmaF"] - nu_p = data["nu_p"] - nu_d = data["nu_d"] - chi_p = data["chi_p"] - chi_d = data["chi_d"] - G = data["G"] - speed = data["v"] - lamd = data["lamd"] - -# Set material -m = mcdc.material( - capture=SigmaC, - scatter=SigmaS, - fission=SigmaF, - nu_p=nu_p, - chi_p=chi_p, - nu_d=nu_d, - chi_d=chi_d, -) - -# Set surfaces -s1 = mcdc.surface("plane-x", x=-1e10, bc="reflective") -s2 = mcdc.surface("plane-x", x=1e10, bc="reflective") - -# Set cells -c = mcdc.cell([+s1, -s2], m) - -# ============================================================================= -# Set initial source -# ============================================================================= - -energy = np.zeros(G) -energy[-1] = 1.0 -source = mcdc.source(energy=energy) - -# ============================================================================= -# Set problem and tally, and then run mcdc -# ============================================================================= - -# Tally -mcdc.tally(scores=["flux"], g="all") - -# Setting -mcdc.setting(N_particle=100, active_bank_buff=1000) - -# Run -mcdc.run() diff --git a/test/verification/analytic/fixed_source/inf_shem361/plot.py b/test/verification/analytic/fixed_source/inf_shem361/plot.py deleted file mode 100644 index 56ea2a12..00000000 --- a/test/verification/analytic/fixed_source/inf_shem361/plot.py +++ /dev/null @@ -1,32 +0,0 @@ -import numpy as np -import matplotlib.pyplot as plt -import h5py -import sys - -from reference import reference - - -# Load results -output = sys.argv[1] -with np.load("SHEM-361.npz") as data: - E = data["E"] - G = data["G"] - E_mid = 0.5 * (E[1:] + E[:-1]) - dE = E[1:] - E[:-1] -with h5py.File(output, "r") as f: - phi = f["tally/flux/mean"][:] / dE * E_mid - phi_sd = f["tally/flux/sdev"][:] / dE * E_mid - -# Reference solution -phi_ref = reference() / dE * E_mid - -# Flux -plt.plot(E_mid, phi, "-b", label="MC") -plt.fill_between(E_mid, phi - phi_sd, phi + phi_sd, alpha=0.2, color="b") -plt.plot(E_mid, phi_ref, "--r", label="analytical") -plt.xscale("log") -plt.xlabel(r"$E$, eV") -plt.ylabel(r"$E\phi(E)$") -plt.grid() -plt.legend() -plt.show() diff --git a/test/verification/analytic/fixed_source/inf_shem361/process.py b/test/verification/analytic/fixed_source/inf_shem361/process.py deleted file mode 100644 index 4f73576e..00000000 --- a/test/verification/analytic/fixed_source/inf_shem361/process.py +++ /dev/null @@ -1,32 +0,0 @@ -from reference import reference -import numpy as np -import h5py -import sys - -sys.path.append("../../") -import tool - - -# Cases run -N_min = int(sys.argv[1]) -N_max = int(sys.argv[2]) -N_particle_list = np.logspace(N_min, N_max, (N_max - N_min) * 2 + 1) - -# Reference solution -phi_ref = reference() - -# Error container -error = np.zeros(len(N_particle_list)) -error_max = np.zeros(len(N_particle_list)) - -# Calculate error -for k, N_particle in enumerate(N_particle_list): - # Get results - with h5py.File("output_%i.h5" % int(N_particle), "r") as f: - phi = f["tally/flux/mean"][:] - - error[k] = tool.rerror(phi, phi_ref) - error_max[k] = tool.rerror_max(phi, phi_ref) - -# Plot -tool.plot_convergence("inf_shem361_flux", N_particle_list, error, error_max) diff --git a/test/verification/analytic/fixed_source/inf_shem361/reference.py b/test/verification/analytic/fixed_source/inf_shem361/reference.py deleted file mode 100644 index 4af70b52..00000000 --- a/test/verification/analytic/fixed_source/inf_shem361/reference.py +++ /dev/null @@ -1,20 +0,0 @@ -import numpy as np -from scipy.integrate import quad - - -def reference(): - # Load material data - with np.load("SHEM-361.npz") as data: - SigmaT = data["SigmaT"] - SigmaC = data["SigmaC"] - SigmaS = data["SigmaS"] - nuSigmaF = data["nuSigmaF"] - G = data["G"] - SigmaT += SigmaC * 0.5 - - A = np.diag(SigmaT) - SigmaS - nuSigmaF - Q = np.zeros(G) - Q[-1] = 1.0 - - phi = np.linalg.solve(A, Q) - return phi diff --git a/test/verification/analytic/fixed_source/inf_shem361_td/SHEM-361.npz b/test/verification/analytic/fixed_source/inf_shem361_td/SHEM-361.npz deleted file mode 100644 index 6ba2c1f4b355b9709b26c0eb22e56db53c64c0f5..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 4232222 zcmd42c{oVX5oHXS${a;W 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b/test/verification/analytic/fixed_source/inf_shem361_td/input.py deleted file mode 100644 index f36a3158..00000000 --- a/test/verification/analytic/fixed_source/inf_shem361_td/input.py +++ /dev/null @@ -1,64 +0,0 @@ -import numpy as np -import sys - -import mcdc - - -# ============================================================================= -# Set model -# ============================================================================= -# The infinite homogenous medium is modeled with reflecting slab - -# Load material data -with np.load("SHEM-361.npz") as data: - SigmaC = data["SigmaC"] * 1.28 # /cm - SigmaS = data["SigmaS"] - SigmaF = data["SigmaF"] - nu_p = data["nu_p"] - nu_d = data["nu_d"] - chi_p = data["chi_p"] - chi_d = data["chi_d"] - G = data["G"] - speed = data["v"] - lamd = data["lamd"] - -# Set material -m = mcdc.material( - capture=SigmaC, - scatter=SigmaS, - fission=SigmaF, - nu_p=nu_p, - chi_p=chi_p, - nu_d=nu_d, - chi_d=chi_d, - decay=lamd, - speed=speed, -) - -# Set surfaces -s1 = mcdc.surface("plane-x", x=-1e10, bc="reflective") -s2 = mcdc.surface("plane-x", x=1e10, bc="reflective") - -# Set cells -c = mcdc.cell([+s1, -s2], m) - -# ============================================================================= -# Set initial source -# ============================================================================= - -energy = np.zeros(G) -energy[-1] = 1.0 -source = mcdc.source(energy=energy) - -# ============================================================================= -# Set problem and tally, and then run mcdc -# ============================================================================= - -# Tally -mcdc.tally(scores=["flux"], t=np.insert(np.logspace(-8, 1, 100), 0, 0.0), g="all") - -# Setting -mcdc.setting(N_particle=1000, active_bank_buff=10000) - -# Run -mcdc.run() diff --git a/test/verification/analytic/fixed_source/inf_shem361_td/plot.py b/test/verification/analytic/fixed_source/inf_shem361_td/plot.py deleted file mode 100644 index 5bf03012..00000000 --- a/test/verification/analytic/fixed_source/inf_shem361_td/plot.py +++ /dev/null @@ -1,92 +0,0 @@ -import numpy as np -import matplotlib.pyplot as plt -import h5py -import sys -import matplotlib.animation as animation - -# Reference solution -data = np.load("reference.npz") -phi_ref = data["phi"].T -n_ref = data["n"] - -# Load results -output = sys.argv[1] -with np.load("SHEM-361.npz") as data: - E = data["E"] - G = data["G"] - speed = data["v"] - E_mid = 0.5 * (E[1:] + E[:-1]) - dE = E[1:] - E[:-1] -with h5py.File(output, "r") as f: - t = f["tally/grid/t"][:] - dt = t[1:] - t[:-1] - t_mid = 0.5 * (t[1:] + t[:-1]) - K = len(t) - 1 - - phi = f["tally/flux/mean"][:] - phi_sd = f["tally/flux/sdev"][:] - -# Neutron density -n = np.zeros(K) -n_sd = np.zeros(K) -for k in range(K): - n[k] = np.sum(phi[:, k] / speed) / dt[k] - n_sd[k] = np.linalg.norm(phi_sd[:, k] / speed) / dt[k] - -# Normalize -for k in range(K): - phi_ref[:, k] *= E_mid / dE - phi[:, k] *= E_mid / dE / dt[k] - phi_sd[:, k] *= E_mid / dE / dt[k] - -# Flux - t -fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(8, 4)) -fig.tight_layout(pad=3.0) - -ax1.plot(t_mid, n, "-b", label="MC") -no = np.zeros_like(n) -(line,) = ax1.plot(t[1:], no, "ko", fillstyle="none") -ax1.fill_between(t[1:], n - n_sd, n + n_sd, alpha=0.2, color="b") -ax1.plot(t_mid, n_ref, "--r", label="Ref.") -ax1.set_xlabel(r"$t$, s") -ax1.set_ylabel("Density") -ax1.set_yscale("log") -ax1.set_xscale("log") -ax1.grid() -ax1.legend() -ax1.set_title(r"$n_g(t)$") - -ax2.grid() -ax2.set_xlabel(r"$E$, MeV") -ax2.set_ylabel(r"$E\phi(E)$") -ax2.set_title(r"$\phi(E,t)$") -ax2.set_xscale("log") -(line1,) = ax2.plot([], [], "-b", label="MC") -(line2,) = ax2.plot([], [], "--r", label="Ref.") -fb = ax2.fill_between([], [], [], [], alpha=0.2, color="b") -ax2.legend() - - -def animate(k): - global fb - fb.remove() - no[k - 1] = 0.0 - no[k] = n[k] - line.set_data(t[1:], no) - line1.set_data(E_mid, phi[:, k]) - fb = ax2.fill_between( - E_mid, - phi[:, k] - phi_sd[:, k], - phi[:, k] + phi_sd[:, k], - alpha=0.2, - color="b", - ) - line2.set_data(E_mid, phi_ref[:, k]) - ax2.set_ylim([(phi_ref[:, k]).min(), (phi_ref[:, k]).max()]) - ax2.legend() - return line1, line2 - - -simulation = animation.FuncAnimation(fig, animate, frames=K) -writervideo = animation.FFMpegWriter(fps=6) -plt.show() diff --git a/test/verification/analytic/fixed_source/inf_shem361_td/process.py b/test/verification/analytic/fixed_source/inf_shem361_td/process.py deleted file mode 100644 index fe7a0050..00000000 --- a/test/verification/analytic/fixed_source/inf_shem361_td/process.py +++ /dev/null @@ -1,60 +0,0 @@ -import numpy as np -import h5py -import sys -import matplotlib.pyplot as plt -import matplotlib.animation as animation - -sys.path.append("../../") -import tool - - -# Cases run -N_min = int(sys.argv[1]) -N_max = int(sys.argv[2]) -N_particle_list = np.logspace(N_min, N_max, (N_max - N_min) * 2 + 1) - -# Reference solution -data = np.load("reference.npz") -phi_ref_ = data["phi"].T -n_ref = data["n"].T - -# Error container -error = np.zeros(len(N_particle_list)) -error_n = np.zeros(len(N_particle_list)) - -error_max = np.zeros(len(N_particle_list)) -error_max_n = np.zeros(len(N_particle_list)) - -# Calculate error -for i, N_particle in enumerate(N_particle_list): - # Get results - with np.load("SHEM-361.npz") as data: - E = data["E"] - G = data["G"] - speed = data["v"] - E_mid = 0.5 * (E[1:] + E[:-1]) - dE = E[1:] - E[:-1] - with h5py.File("output_%i.h5" % int(N_particle), "r") as f: - t = f["tally/grid/t"][:] - dt = t[1:] - t[:-1] - K = len(t) - 1 - phi = f["tally/flux/mean"][:] - - # Neutron density - n = np.zeros(K) - for k in range(K): - n[k] = np.sum(phi[:, k] / speed) / dt[k] - - # Normalize - phi_ref = np.zeros_like(phi_ref_) - for k in range(K): - phi_ref[:, k] = phi_ref_[:, k] * E_mid / dE - phi[:, k] *= E_mid / dE / dt[k] - - error[i] = tool.rerror(phi, phi_ref) - error_n[i] = tool.rerror(n, n_ref) - 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z(VT}7;>Q#Mv0Py1?do~eoE;5oe1c1a|9fC(5ev$tp)vgLO#I*B{_n~g|KFw4zhVA= zKV)K?b}qq!2=CvS^xwVyd-BGgL{DO8@#z2cpnq>5|K211o&V3DQ))%@pSKeYRbrBV QPeq8nV$pS&9TB?xAM_pE=>Px# diff --git a/test/verification/analytic/fixed_source/inf_shem361_td/reference.py b/test/verification/analytic/fixed_source/inf_shem361_td/reference.py deleted file mode 100644 index 3acc3351..00000000 --- a/test/verification/analytic/fixed_source/inf_shem361_td/reference.py +++ /dev/null @@ -1,72 +0,0 @@ -import numpy as np -from scipy.linalg import expm -from scipy.integrate import trapz - -# Time grid -t = np.insert(np.logspace(-8, 1, 100), 0, 0.0) -K = len(t) - 1 - -# Load material data -with np.load("SHEM-361.npz") as data: - SigmaT = data["SigmaT"] - SigmaC = data["SigmaC"] - SigmaS = data["SigmaS"] - nuSigmaF_p = data["nuSigmaF_p"] - SigmaF = data["SigmaF"] - nu_p = data["nu_p"] - nu_d = data["nu_d"] - chi_p = data["chi_p"] - chi_d = data["chi_d"] - G = data["G"] - J = data["J"] - E = data["E"] - v = data["v"] - lamd = data["lamd"] -SigmaT += SigmaC * 0.28 - -# Matrix and RHS source -A = np.zeros([G + J, G + J]) - -# Top-left [GxG]: phi --> phi -A[:G, :G] = SigmaS + nuSigmaF_p - np.diag(SigmaT) - -# Top-right [GxJ]: C --> phi -A[:G, G:] = np.multiply(chi_d, lamd) - -# Bottom-left [JxG]: phi --> C -A[G:, :G] = np.multiply(nu_d, SigmaF) - -# bottom-right [JxJ]: C --> C -A[G:, G:] = -np.diag(lamd) - -# Multiply with neutron speed -AV = np.copy(A) -AV[:G, :] = np.dot(np.diag(v), A[:G, :]) - -# Initial condition -PHI_init = np.zeros(G + J) -PHI_init[G - 1] = v[-1] - -# Allocate solution -PHI = np.zeros([K, G + J]) - -# Analytical solution -PHI_OLD = PHI_init -for k in range(K): - print(k) - t1 = t[k] - t2 = t[k + 1] - dt = t2 - t1 - - # Fluxes - PHI_NEW = np.dot(expm(AV * dt), PHI_OLD) - PHI[k, :] = np.dot(np.linalg.inv(AV), (PHI_NEW - PHI_OLD) / dt) - PHI_OLD[:] = PHI_NEW[:] -phi = PHI[:, :G] - -# Density -n = np.zeros(K) -for k in range(K): - n[k] = np.sum(phi[k, :] / v) - -np.savez("reference.npz", t=t, phi=phi, n=n) diff --git a/test/verification/analytic/fixed_source/slab_absorbium/input.py b/test/verification/analytic/fixed_source/slab_absorbium/input.py deleted file mode 100644 index ac2a74f8..00000000 --- a/test/verification/analytic/fixed_source/slab_absorbium/input.py +++ /dev/null @@ -1,50 +0,0 @@ -import numpy as np -import sys - -import mcdc - - -# ============================================================================= -# Set model -# ============================================================================= -# Three slab layers with different purely-absorbing materials - -# Set materials -m1 = mcdc.material(capture=np.array([1.0])) -m2 = mcdc.material(capture=np.array([1.5])) -m3 = mcdc.material(capture=np.array([2.0])) - -# Set surfaces -s1 = mcdc.surface("plane-z", z=0.0, bc="vacuum") -s2 = mcdc.surface("plane-z", z=2.0) -s3 = mcdc.surface("plane-z", z=4.0) -s4 = mcdc.surface("plane-z", z=6.0, bc="vacuum") - -# Set cells -mcdc.cell([+s1, -s2], m2) -mcdc.cell([+s2, -s3], m3) -mcdc.cell([+s3, -s4], m1) - -# ============================================================================= -# Set source -# ============================================================================= -# Uniform isotropic source throughout the domain - -mcdc.source(z=[0.0, 6.0], isotropic=True) - -# ============================================================================= -# Set tally, setting, and run mcdc -# ============================================================================= - -# Tally: cell-average and cell-edge angular fluxes and currents -mcdc.tally( - scores=["flux", "current"], - z=np.linspace(0.0, 6.0, 61), - mu=np.linspace(-1.0, 1.0, 32 + 1), -) - -# Setting -mcdc.setting(N_particle=1000) - -# Run -mcdc.run() diff --git a/test/verification/analytic/fixed_source/slab_absorbium/plot.py b/test/verification/analytic/fixed_source/slab_absorbium/plot.py deleted file mode 100644 index 3b034904..00000000 --- a/test/verification/analytic/fixed_source/slab_absorbium/plot.py +++ /dev/null @@ -1,89 +0,0 @@ -import matplotlib.pyplot as plt -import h5py -import numpy as np -import sys - -from reference import reference - - -# Reference solution -output = sys.argv[1] -with h5py.File(output, "r") as f: - z = f["tally/grid/z"][:] - mu = f["tally/grid/mu"][:] -phi_ref, J_ref, psi_ref = reference(z, mu) - -# Load results -with h5py.File(output, "r") as f: - z = f["tally/grid/z"][:] - dz = z[1:] - z[:-1] - z_mid = 0.5 * (z[:-1] + z[1:]) - mu = f["tally/grid/mu"][:] - dmu = mu[1:] - mu[:-1] - mu_mid = 0.5 * (mu[:-1] + mu[1:]) - I = len(z) - 1 - N = len(mu) - 1 - - psi = f["tally/flux/mean"][:] - psi_sd = f["tally/flux/sdev"][:] - J = f["tally/current/mean"][:, 2] - J_sd = f["tally/current/sdev"][:, 2] - -# Scalar flux -phi = np.zeros(I) -phi_sd = np.zeros(I) -for i in range(I): - phi[i] += np.sum(psi[i, :]) - phi_sd[i] += np.linalg.norm(psi_sd[i, :]) - -# Normalize -phi /= dz -phi_sd /= dz -J /= dz -J_sd /= dz -for n in range(N): - psi[:, n] = psi[:, n] / dz / dmu[n] - psi_sd[:, n] = psi_sd[:, n] / dz / dmu[n] - -# Flux - spatial average -plt.plot(z_mid, phi, "-b", label="MC") -plt.fill_between(z_mid, phi - phi_sd, phi + phi_sd, alpha=0.2, color="b") -plt.plot(z_mid, phi_ref, "--r", label="Ref.") -plt.xlabel(r"$z$, cm") -plt.ylabel("Flux") -plt.ylim([0.06, 0.16]) -plt.grid() -plt.legend() -plt.title(r"$\bar{\phi}_i$") -plt.show() - -# Current - spatial average -plt.plot(z_mid, J, "-b", label="MC") -plt.fill_between(z_mid, J - J_sd, J + J_sd, alpha=0.2, color="b") -plt.plot(z_mid, J_ref, "--r", label="Ref.") -plt.xlabel(r"$z$, cm") -plt.ylabel("Current") -plt.ylim([-0.03, 0.045]) -plt.grid() -plt.legend() -plt.title(r"$\bar{J}_i$") -plt.show() - -# Angular flux - spatial average -vmin = min(np.min(psi_ref), np.min(psi)) -vmax = max(np.max(psi_ref), np.max(psi)) -fig, ax = plt.subplots(1, 2, figsize=(4, 3), sharey=True) -Z, MU = np.meshgrid(z_mid, mu_mid) -im = ax[0].pcolormesh(MU.T, Z.T, psi_ref, vmin=vmin, vmax=vmax) -ax[0].set_xlabel(r"Polar cosine, $\mu_n$") -ax[0].set_ylabel(r"$z$") -ax[0].set_title(r"$\bar{\psi}_i(\mu_n)$ [Ref.]") -ax[1].pcolormesh(MU.T, Z.T, psi, vmin=vmin, vmax=vmax) -ax[1].set_xlabel(r"Polar cosine, $\mu_n$") -ax[1].set_ylabel(r"$z$") -ax[1].set_title(r"$\bar{\psi}_i(\mu_n)$ [MC]") -fig.subplots_adjust(right=0.8) -cbar_ax = fig.add_axes([0.85, 0.15, 0.05, 0.7]) -cbar = fig.colorbar(im, cax=cbar_ax) -cbar.set_label("Angular flux") -plt.show() diff --git a/test/verification/analytic/fixed_source/slab_absorbium/process.py b/test/verification/analytic/fixed_source/slab_absorbium/process.py deleted file mode 100644 index 29737bab..00000000 --- a/test/verification/analytic/fixed_source/slab_absorbium/process.py +++ /dev/null @@ -1,71 +0,0 @@ -from reference import reference -import numpy as np -import h5py -import sys - -sys.path.append("../../") -import tool - - -# Cases run -N_min = int(sys.argv[1]) -N_max = int(sys.argv[2]) -N_particle_list = np.logspace(N_min, N_max, (N_max - N_min) * 2 + 1) - -# Reference solution -with h5py.File("output_%i.h5" % int(N_particle_list[0]), "r") as f: - z = f["tally/grid/z"][:] - mu = f["tally/grid/mu"][:] -phi_ref, J_ref, psi_ref = reference(z, mu) - -# Error containers -error = np.zeros(len(N_particle_list)) -error_J = np.zeros(len(N_particle_list)) -error_psi = np.zeros(len(N_particle_list)) - -error_max = np.zeros(len(N_particle_list)) -error_max_J = np.zeros(len(N_particle_list)) -error_max_psi = np.zeros(len(N_particle_list)) - -# Calculate error -for k, N_particle in enumerate(N_particle_list): - # Get results - with h5py.File("output_%i.h5" % int(N_particle), "r") as f: - z = f["tally/grid/z"][:] - dz = z[1:] - z[:-1] - mu = f["tally/grid/mu"][:] - dmu = mu[1:] - mu[:-1] - I = len(z) - 1 - N = len(mu) - 1 - - psi = f["tally/flux/mean"][:] - J = f["tally/current/mean"][:, 2] - - # Scalar flux - phi = np.zeros(I) - for i in range(I): - phi[i] += np.sum(psi[i, :]) - - psi_norm = np.zeros(psi.shape) - # Normalize - phi /= dz - J /= dz - for n in range(N): - psi[:, n] = psi[:, n] / dz / dmu[n] - - # Get error - error[k] = tool.rerror(phi, phi_ref) - error_J[k] = tool.rerror(J, J_ref) - error_psi[k] = tool.rerror(psi, psi_ref) - - error_max[k] = tool.rerror_max(phi, phi_ref) - error_max_J[k] = tool.rerror_max(J, J_ref) - error_max_psi[k] = tool.rerror_max(psi, psi_ref) - - -# Plot -tool.plot_convergence("slab_absorbium_flux", N_particle_list, error, error_max) -tool.plot_convergence("slab_absorbium_current", N_particle_list, error_J, error_max_J) -tool.plot_convergence( - "slab_absorbium_angular_flux", N_particle_list, error_psi, error_max_psi -) diff --git a/test/verification/analytic/fixed_source/slab_absorbium/reference.py b/test/verification/analytic/fixed_source/slab_absorbium/reference.py deleted file mode 100644 index 64759c5e..00000000 --- a/test/verification/analytic/fixed_source/slab_absorbium/reference.py +++ /dev/null @@ -1,130 +0,0 @@ -import numpy as np -from scipy.integrate import quad - - -def reference(x, mu): - dx = x[1:] - x[:-1] - dmu = mu[1:] - mu[:-1] - I = len(x) - 1 - N = len(mu) - 1 - - # Parameters - SigmaT3 = 1.0 - SigmaT1 = 1.5 - SigmaT2 = 2.0 - q1 = 1.0 / 6.0 / 2 - q2 = 1.0 / 6.0 / 2 - q3 = 1.0 / 6.0 / 2 - x1 = 2.0 - x2 = 4.0 - x3 = 6.0 - tau1 = SigmaT1 * x1 - tau2 = SigmaT2 * (x2 - x1) - tau3 = SigmaT3 * (x3 - x2) - - # Angular flux - def psi1(mu, x): - if mu > 0.0: - return q1 / SigmaT1 * (1.0 - np.exp(-SigmaT1 * x / mu)) - elif mu < 0.0: - return (psi2(mu, x1) - q1 / SigmaT1) * np.exp( - -SigmaT1 * (x1 - x) / np.abs(mu) - ) + q1 / SigmaT1 - - def psi2(mu, x): - if mu > 0.0: - return (psi1(mu, x1) - q2 / SigmaT2) * np.exp( - -SigmaT2 * (x - x1) / mu - ) + q2 / SigmaT2 - elif mu < 0.0: - return (psi3(mu, x2) - q2 / SigmaT2) * np.exp( - -SigmaT2 * (x2 - x) / np.abs(mu) - ) + q2 / SigmaT2 - - def psi3(mu, x): - if mu > 0.0: - return (psi2(mu, x2) - q3 / SigmaT3) * np.exp( - -SigmaT3 * (x - x2) / mu - ) + q3 / SigmaT3 - elif mu < 0.0: - return q3 / SigmaT3 * (1.0 - np.exp(-SigmaT3 * (x3 - x) / np.abs(mu))) - - # Flux - def phi1(x): - return quad(psi1, -1, 1, args=(x), points=[0.0])[0] - - def phi2(x): - return quad(psi2, -1, 1, args=(x), points=[0.0])[0] - - def phi3(x): - return quad(psi3, -1, 1, args=(x), points=[0.0])[0] - - # Integrands for current - def mu_psi1(mu, x): - if mu > 0.0: - return mu * psi1(mu, x) - elif mu < 0.0: - return mu * psi1(mu, x) - - def mu_psi2(mu, x): - if mu > 0.0: - return mu * psi2(mu, x) - elif mu < 0.0: - return mu * psi2(mu, x) - - def mu_psi3(mu, x): - if mu > 0.0: - return mu * psi3(mu, x) - elif mu < 0.0: - return mu * psi3(mu, x) - - # Current - def J1(x): - return quad(mu_psi1, -1, 1, args=(x), points=[0.0])[0] - - def J2(x): - return quad(mu_psi2, -1, 1, args=(x), points=[0.0])[0] - - def J3(x): - return quad(mu_psi3, -1, 1, args=(x), points=[0.0])[0] - - # Angular flux - def psi1_(x, mu0, mu1): - return quad(psi1, mu0, mu1, args=(x), points=[0.0])[0] - - def psi2_(x, mu0, mu1): - return quad(psi2, mu0, mu1, args=(x), points=[0.0])[0] - - def psi3_(x, mu0, mu1): - return quad(psi3, mu0, mu1, args=(x), points=[0.0])[0] - - phi = np.zeros(I) - psi = np.zeros((I, N)) - J = np.zeros(I) - - for i in range(int(I / 3)): - phi[i] = quad(phi1, x[i], x[i + 1])[0] / dx[i] - J[i] = quad(J1, x[i], x[i + 1])[0] / dx[i] - for n in range(N): - mu0 = mu[n] - mu1 = mu[n + 1] - psi[i, n] = quad(psi1_, x[i], x[i + 1], args=(mu0, mu1))[0] / dx[i] / dmu[n] - for i in range(int(I / 3), int(2 * I / 3)): - phi[i] = quad(phi2, x[i], x[i + 1])[0] / dx[i] - J[i] = quad(J2, x[i], x[i + 1])[0] / dx[i] - for n in range(N): - mu0 = mu[n] - mu1 = mu[n + 1] - psi[i, n] = quad(psi2_, x[i], x[i + 1], args=(mu0, mu1))[0] / dx[i] / dmu[n] - for i in range(int(2 * I / 3), I): - phi[i] = quad(phi3, x[i], x[i + 1])[0] / dx[i] - J[i] = quad(J3, x[i], x[i + 1])[0] / dx[i] - for n in range(N): - mu0 = mu[n] - mu1 = mu[n + 1] - psi[i, n] = quad(psi3_, x[i], x[i + 1], args=(mu0, mu1))[0] / dx[i] / dmu[n] - for n in range(N): - mu0 = mu[n] - mu1 = mu[n + 1] - - return phi, J, psi diff --git a/test/verification/analytic/fixed_source/slab_isobeam_td/input.py b/test/verification/analytic/fixed_source/slab_isobeam_td/input.py deleted file mode 100644 index cbd3b552..00000000 --- a/test/verification/analytic/fixed_source/slab_isobeam_td/input.py +++ /dev/null @@ -1,44 +0,0 @@ -import numpy as np -import sys - -import mcdc - - -# ============================================================================= -# Set model -# ============================================================================= -# Finite homogeneous pure-absorbing slab - -# Set materials -m = mcdc.material(capture=np.array([1.0])) - -# Set surfaces -s1 = mcdc.surface("plane-x", x=0.0, bc="vacuum") -s2 = mcdc.surface("plane-x", x=5.0, bc="vacuum") - -# Set cells -mcdc.cell([+s1, -s2], m) - -# ============================================================================= -# Set source -# ============================================================================= -# Isotropic beam from left-end - -mcdc.source(point=[1e-10, 0.0, 0.0], time=[0.0, 5.0], white_direction=[1.0, 0.0, 0.0]) - -# ============================================================================= -# Set tally, setting, and run mcdc -# ============================================================================= - -# Tally -mcdc.tally( - scores=["flux"], - x=np.linspace(0.0, 5.0, 51), - t=np.linspace(0.0, 5.0, 51), -) - -# Setting -mcdc.setting(N_particle=1000) - -# Run -mcdc.run() diff --git a/test/verification/analytic/fixed_source/slab_isobeam_td/plot.py b/test/verification/analytic/fixed_source/slab_isobeam_td/plot.py deleted file mode 100644 index 5b6331e8..00000000 --- a/test/verification/analytic/fixed_source/slab_isobeam_td/plot.py +++ /dev/null @@ -1,71 +0,0 @@ -import numpy as np -import matplotlib.pyplot as plt -import matplotlib.animation as animation -import h5py -import sys - -from reference import reference - -output = sys.argv[1] - -# Reference solution -with h5py.File(output, "r") as f: - x = f["tally/grid/x"][:] - t = f["tally/grid/t"][:] -phi_ref = reference(x, t) - -# Get results -with h5py.File(output, "r") as f: - x = f["tally/grid/x"][:] - t = f["tally/grid/t"][:] - dx = x[1] - x[0] - x_mid = 0.5 * (x[:-1] + x[1:]) - dt = t[1:] - t[:-1] - K = len(dt) - J = len(x_mid) - - phi = f["tally/flux/mean"][:] - phi_sd = f["tally/flux/sdev"][:] - -# Normalize -for k in range(K): - phi[k] *= 0.5 / dx - phi_sd[k] *= 0.5 / dx -for j in range(J): - phi[:, j] /= dt - phi_sd[:, j] /= dt - -# Flux - t -fig = plt.figure() -ax = plt.axes(ylim=(5e-5, 4e-1)) -ax.grid() -ax.set_xlabel(r"$x$") -ax.set_ylabel(r"Flux") -ax.set_title(r"$\bar{\phi}_{j}(t)$") -ax.set_yscale("log") -(line1,) = ax.plot([], [], "-b", label="MC") -(line2,) = ax.plot([], [], "--r", label="Ref.") -fb = ax.fill_between([], [], [], [], alpha=0.2, color="b") -text = ax.text(0.02, 0.9, "", transform=ax.transAxes) -ax.legend() - - -def animate(k): - global fb - fb.remove() - line1.set_data(x_mid, phi[k, :]) - fb = ax.fill_between( - x_mid, - phi[k, :] - phi_sd[k, :], - phi[k, :] + phi_sd[k, :], - alpha=0.2, - color="b", - ) - line2.set_data(x_mid, phi_ref[k, :]) - text.set_text(r"$t \in [%.1f, %.1f]$ s" % (t[k], t[k + 1])) - return line1, line2, text - - -simulation = animation.FuncAnimation(fig, animate, frames=K) -writervideo = animation.FFMpegWriter(fps=6) -plt.show() diff --git a/test/verification/analytic/fixed_source/slab_isobeam_td/process.py b/test/verification/analytic/fixed_source/slab_isobeam_td/process.py deleted file mode 100644 index 9330a7e5..00000000 --- a/test/verification/analytic/fixed_source/slab_isobeam_td/process.py +++ /dev/null @@ -1,50 +0,0 @@ -from reference import reference -import numpy as np -import h5py -import sys - -sys.path.append("../../") -import tool - - -# Cases run -N_min = int(sys.argv[1]) -N_max = int(sys.argv[2]) -N_particle_list = np.logspace(N_min, N_max, (N_max - N_min) * 2 + 1) - - -# Reference solution -with h5py.File("output_%i.h5" % int(N_particle_list[0]), "r") as f: - x = f["tally/grid/x"][:] - t = f["tally/grid/t"][:] -phi_ref = reference(x, t) - -# Error containers -error = np.zeros(len(N_particle_list)) -error_max = np.zeros(len(N_particle_list)) - -# Calculate error -for i, N_particle in enumerate(N_particle_list): - # Get results - with h5py.File("output_%i.h5" % int(N_particle), "r") as f: - x = f["tally/grid/x"][:] - t = f["tally/grid/t"][:] - K = len(t) - 1 - J = len(x) - 1 - dx = x[1:] - x[:-1] - dt = t[1:] - t[:-1] - - phi = f["tally/flux/mean"][:] - - # Normalize - for k in range(K): - phi[k] *= 0.5 / dx - for j in range(J): - phi[:, j] /= dt - - # Get error - error[i] = tool.error(phi, phi_ref) - error_max[i] = tool.error_max(phi, phi_ref) - -# Plot -tool.plot_convergence("slab_isoBeam_td_flux_t", N_particle_list, error, error_max) diff --git a/test/verification/analytic/fixed_source/slab_isobeam_td/reference.py b/test/verification/analytic/fixed_source/slab_isobeam_td/reference.py deleted file mode 100644 index 91d04049..00000000 --- a/test/verification/analytic/fixed_source/slab_isobeam_td/reference.py +++ /dev/null @@ -1,49 +0,0 @@ -import numpy as np -from scipy.integrate import quad -from scipy.special import exp1 - -# Parameters -SigmaT = 1.0 -v = 1.0 -T = 5.0 - -# Point-wise solution - - -def phi_(x, t): - if x > v * t: - return 0.0 - else: - return ( - 1.0 - / T - * ( - SigmaT * x * (exp1(SigmaT * v * t) - exp1(SigmaT * x)) - + np.e ** (-SigmaT * x) - - x / (v * t) * np.e ** (-SigmaT * v * t) - ) - ) - - -def phi_X(t, x1, x2): - return quad(phi_, x1, x2, args=(t))[0] / (x2 - x1) - - -def reference(x, t): - dx = x[1] - x[0] - x_mid = 0.5 * (x[:-1] + x[1:]) - dt = t[1:] - t[:-1] - K = len(dt) - J = len(x_mid) - - phi = np.zeros([K, J]) - for k in range(K): - for j in range(J): - x1 = x[j] - x2 = x[j + 1] - t1 = t[k] - t2 = t[k + 1] - phi[k, j] = quad(phi_X, t1, t2, args=(x1, x2))[0] / (t2 - t1) - # phi[k, j] = quad(phi_, x1, x2, args=(t[k + 1]))[0] / (x2 - x1) - - return phi diff --git a/test/verification/analytic/process.py b/test/verification/analytic/process.py deleted file mode 100644 index 93ccabbc..00000000 --- a/test/verification/analytic/process.py +++ /dev/null @@ -1,23 +0,0 @@ -import numpy as np -import os -import sys - -# Fixed source -N_min = 3 -N_max = 6 -for task in os.scandir("./fixed_source"): - print(task) - os.chdir(task) - os.system("python process.py %i %i" % (N_min, N_max)) - os.chdir(r"../..") - -# Eigenvalue -""" -N_min = 1 -N_max = 3 -for task in os.scandir('./eigenvalue'): - print(task) - os.chdir(task) - os.system("python process.py %i %i"%(N_min,N_max)) - os.chdir(r"../..") -""" diff --git a/test/verification/analytic/run.py b/test/verification/analytic/run.py deleted file mode 100644 index cf496efa..00000000 --- a/test/verification/analytic/run.py +++ /dev/null @@ -1,46 +0,0 @@ -import numpy as np -import os -import sys - -if len(sys.argv) > 1: - N_proc = int(sys.argv[1]) -else: - N_proc = 1 - - -waitlist = [] - -# Fixed source -N_min = 3 -N_max = 7 -for task in os.scandir("./fixed_source"): - os.chdir(task) - for N_hist in np.logspace(N_min, N_max, (N_max - N_min) * 2 + 1): - if not os.path.isfile("output_" + str(int(N_hist)) + ".h5"): - print(task, int(N_hist)) - if N_proc == 1: - os.system( - "python input.py --mode=numba --N_particle=%i --output=output_%i" - % (N_hist, N_hist) - ) - else: - os.system( - "srun -n %i python input.py --mode=numba --N_particle=%i --output=output_%i" - % (N_proc, N_hist, N_hist) - ) - os.chdir(r"../..") - -# Eigenvalue -""" -N_min = 1 -N_max = 3 -for task in os.scandir('./eigenvalue'): - os.chdir(task) - for N_hist in np.logspace(N_min, N_max, (N_max-N_min)*4+1): - print(task, int(N_hist)) - if N_proc == 1: - os.system("python input.py --mode=numba %i"%(N_hist)) - else: - os.system("srun -n %i python input.py --mode=numba %i"%(N_proc,N_hist)) - os.chdir(r"../..") -""" diff --git a/test/verification/analytic/tool.py b/test/verification/analytic/tool.py deleted file mode 100644 index cd72a2b0..00000000 --- a/test/verification/analytic/tool.py +++ /dev/null @@ -1,45 +0,0 @@ -import matplotlib.pyplot as plt -import numpy as np - - -def error(val, ref): - return np.sqrt(np.average((val - ref) ** 2) / np.sum(ref**2)) - - -def error_max(val, ref): - return np.max(val - ref) / np.max(ref) - - -def rerror(val, ref): - return np.sqrt(np.sum(((val - ref) / ref) ** 2)) / ref.size - - -def rerror_max(val, ref): - return np.max(np.abs((val - ref) / ref)) - - -def plot_convergence(name, N_particle, error, error_max): - mid = int(len(N_particle) / 2) - - plt.plot(N_particle, error, "bo", fillstyle="none", label="2-norm") - - plt.plot(N_particle, error_max, "gD", fillstyle="none", label="max") - - line = 1.0 / np.sqrt(N_particle) - line *= 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a/test/verification/benchmark/c5g7-td/input_ic.py +++ /dev/null @@ -1,296 +0,0 @@ -import h5py, sys -import numpy as np - -import mcdc - - -# Get IC generator parameters -with h5py.File("output_k.h5", "r") as f: - neutron_density = f["global_tally/neutron/mean"][()] - max_neutron_density = f["global_tally/neutron/max"][()] - precursor_density = f["global_tally/precursor/mean"][()] - max_precursor_density = f["global_tally/precursor/max"][()] - keff = f["k_mean"][()] - -# ============================================================================= -# Materials -# ============================================================================= - -# Load material data -lib = h5py.File("c5g7_xs.h5", "r") - - -# Setter -def set_mat(mat): - return mcdc.material( - capture=mat["capture"][:], - scatter=mat["scatter"][:], - fission=mat["fission"][:], - nu_p=mat["nu_p"][:] / keff, - nu_d=mat["nu_d"][:] / keff, - chi_p=mat["chi_p"][:], - chi_d=mat["chi_d"][:], - speed=mat["speed"], - decay=mat["decay"], - ) - - -mat_uo2 = set_mat(lib["uo2"]) # Fuel: UO2 -mat_mox43 = set_mat(lib["mox43"]) # Fuel: MOX 4.3% -mat_mox7 = set_mat(lib["mox7"]) # Fuel: MOX 7.0% -mat_mox87 = set_mat(lib["mox87"]) # Fuel: MOX 8.7% -mat_gt = set_mat(lib["gt"]) # Guide tube -mat_fc = set_mat(lib["fc"]) # Fission chamber -mat_cr = set_mat(lib["cr"]) # Control rod -mat_mod = set_mat(lib["mod"]) # Moderator - -# ============================================================================= -# Pin cells -# ============================================================================= - -pitch = 1.26 -radius = 0.54 -core_height = 128.52 -refl_thick = 21.42 - -# Control rod banks fractions -# All out: 0.0 -# All in : 1.0 -cr1 = 0.0 -cr2 = 0.0 -cr3 = 0.0 -cr4 = 0.0 -# Control rod banks interfaces -cr1 = core_height * (0.5 - cr1) -cr2 = core_height * (0.5 - cr2) -cr3 = core_height * (0.5 - cr3) -cr4 = core_height * (0.5 - cr4) - -# Surfaces -cy = mcdc.surface("cylinder-z", center=[0.0, 0.0], radius=radius) -z1 = mcdc.surface("plane-z", z=cr1) # Control rod banks interfaces -z2 = mcdc.surface("plane-z", z=cr2) -z3 = mcdc.surface("plane-z", z=cr3) -z4 = mcdc.surface("plane-z", z=cr4) -zf = mcdc.surface("plane-z", z=core_height / 2) - -# Fission chamber -fc = mcdc.cell([-cy], mat_fc) -mod = mcdc.cell([+cy], mat_mod) -fission_chamber = mcdc.universe([fc, mod])["ID"] - -# Fuel rods -uo2 = mcdc.cell([-cy, -zf], mat_uo2) -mox4 = mcdc.cell([-cy, -zf], mat_mox43) -mox7 = mcdc.cell([-cy, -zf], mat_mox7) -mox8 = mcdc.cell([-cy, -zf], mat_mox87) -moda = mcdc.cell([-cy, +zf], mat_mod) # Water above pin -fuel_uo2 = mcdc.universe([uo2, mod, moda])["ID"] -fuel_mox43 = mcdc.universe([mox4, mod, moda])["ID"] -fuel_mox7 = mcdc.universe([mox7, mod, moda])["ID"] -fuel_mox87 = mcdc.universe([mox8, mod, moda])["ID"] - -# Control rods and guide tubes -cr1 = mcdc.cell([-cy, +z1], mat_cr) -cr2 = mcdc.cell([-cy, +z2], mat_cr) -cr3 = mcdc.cell([-cy, +z3], mat_cr) -cr4 = mcdc.cell([-cy, +z4], mat_cr) -gt1 = mcdc.cell([-cy, -z1], mat_gt) -gt2 = mcdc.cell([-cy, -z2], mat_gt) -gt3 = mcdc.cell([-cy, -z3], mat_gt) -gt4 = mcdc.cell([-cy, -z4], mat_gt) -control_rod1 = mcdc.universe([cr1, gt1, mod])["ID"] -control_rod2 = mcdc.universe([cr2, gt2, mod])["ID"] -control_rod3 = mcdc.universe([cr3, gt3, mod])["ID"] -control_rod4 = mcdc.universe([cr4, gt4, mod])["ID"] - -# ============================================================================= -# Fuel lattices -# ============================================================================= - -# UO2 lattice 1 -u = fuel_uo2 -c = control_rod1 -f = fission_chamber -lattice_1 = mcdc.lattice( - x=[-pitch * 17 / 2, pitch, 17], - y=[-pitch * 17 / 2, pitch, 17], - universes=[ - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], - [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, c, u, u, c, u, u, f, u, u, c, u, u, c, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], - [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - ], -) - -# MOX lattice 2 -l = fuel_mox43 -m = fuel_mox7 -n = fuel_mox87 -c = control_rod2 -f = fission_chamber -lattice_2 = mcdc.lattice( - x=[-pitch * 17 / 2, pitch, 17], - y=[-pitch * 17 / 2, pitch, 17], - universes=[ - [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], - [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], - [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], - [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], - [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], - [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, c, n, n, c, n, n, f, n, n, c, n, n, c, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], - [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], - [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], - [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], - [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], - [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], - ], -) - -# MOX lattice 3 -l = fuel_mox43 -m = fuel_mox7 -n = fuel_mox87 -c = control_rod3 -f = fission_chamber -lattice_3 = mcdc.lattice( - x=[-pitch * 17 / 2, pitch, 17], - y=[-pitch * 17 / 2, pitch, 17], - universes=[ - [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], - [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], - [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], - [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], - [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], - [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, c, n, n, c, n, n, f, n, n, c, n, n, c, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], - [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], - [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], - [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], - [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], - [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], - ], -) - -# UO2 lattice 4 -u = fuel_uo2 -c = control_rod4 -f = fission_chamber -lattice_4 = mcdc.lattice( - x=[-pitch * 17 / 2, pitch, 17], - y=[-pitch * 17 / 2, pitch, 17], - universes=[ - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], - [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, c, u, u, c, u, u, f, u, u, c, u, u, c, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], - [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - ], -) - -# ============================================================================= -# Assemblies and core -# ============================================================================= - -# Surfaces -x0 = mcdc.surface("plane-x", x=0.0, bc="reflective") -x1 = mcdc.surface("plane-x", x=pitch * 17) -x2 = mcdc.surface("plane-x", x=pitch * 17 * 2) -x3 = mcdc.surface("plane-x", x=pitch * 17 * 3, bc="vacuum") - -y0 = mcdc.surface("plane-y", y=-pitch * 17 * 3, bc="vacuum") -y1 = mcdc.surface("plane-y", y=-pitch * 17 * 2) -y2 = mcdc.surface("plane-y", y=-pitch * 17) -y3 = mcdc.surface("plane-y", y=0.0, bc="reflective") - -z0 = mcdc.surface("plane-z", z=-(core_height / 2 + refl_thick), bc="vacuum") -z1 = mcdc.surface("plane-z", z=-(core_height / 2)) -z2 = mcdc.surface("plane-z", z=(core_height / 2 + refl_thick), bc="vacuum") - -# Assembly cells -center = np.array([pitch * 17 / 2, -pitch * 17 / 2, 0.0]) -assembly_1 = mcdc.cell([+x0, -x1, +y2, -y3, +z1, -z2], lattice_1, lattice_center=center) - -center += np.array([pitch * 17, 0.0, 0.0]) -assembly_2 = mcdc.cell([+x1, -x2, +y2, -y3, +z1, -z2], lattice_2, lattice_center=center) - -center += np.array([-pitch * 17, -pitch * 17, 0.0]) -assembly_3 = mcdc.cell([+x0, -x1, +y1, -y2, +z1, -z2], lattice_3, lattice_center=center) - -center += np.array([pitch * 17, 0.0, 0.0]) -assembly_4 = mcdc.cell([+x1, -x2, +y1, -y2, +z1, -z2], lattice_4, lattice_center=center) - -# Bottom reflector cell -reflector_bottom = mcdc.cell([+x0, -x3, +y0, -y3, +z0, -z1], mat_mod) - -# Side reflectors -reflector_south = mcdc.cell([+x0, -x3, +y0, -y1, +z1, -z2], mat_mod) -reflector_east = mcdc.cell([+x2, -x3, +y1, -y3, +z1, -z2], mat_mod) - -# Root universe -mcdc.universe( - [ - assembly_1, - assembly_2, - assembly_3, - assembly_4, - reflector_bottom, - reflector_south, - reflector_east, - ], - root=True, -) - -# ============================================================================= -# Set problem and tally, and then run mcdc -# ============================================================================= - -# Setting -mcdc.setting(source_file="output_k.h5", output_name="output_ic") -mcdc.IC_generator( - N_neutron=1e6, - N_precursor=1e6, - neutron_density=neutron_density, - max_neutron_density=max_neutron_density, - precursor_density=precursor_density, - max_precursor_density=max_precursor_density, -) - -# Run -mcdc.run() diff --git a/test/verification/benchmark/c5g7-td/input_k.py b/test/verification/benchmark/c5g7-td/input_k.py deleted file mode 100644 index e64a5528..00000000 --- a/test/verification/benchmark/c5g7-td/input_k.py +++ /dev/null @@ -1,293 +0,0 @@ -import h5py -import numpy as np - -import mcdc - -# ============================================================================= -# Materials -# ============================================================================= - -# Load material data -lib = h5py.File("c5g7_xs.h5", "r") - - -# Setter -def set_mat(mat): - return mcdc.material( - capture=mat["capture"][:], - scatter=mat["scatter"][:], - fission=mat["fission"][:], - nu_p=mat["nu_p"][:], - nu_d=mat["nu_d"][:], - chi_p=mat["chi_p"][:], - chi_d=mat["chi_d"][:], - speed=mat["speed"], - decay=mat["decay"], - ) - - -mat_uo2 = set_mat(lib["uo2"]) # Fuel: UO2 -mat_mox43 = set_mat(lib["mox43"]) # Fuel: MOX 4.3% -mat_mox7 = set_mat(lib["mox7"]) # Fuel: MOX 7.0% -mat_mox87 = set_mat(lib["mox87"]) # Fuel: MOX 8.7% -mat_gt = set_mat(lib["gt"]) # Guide tube -mat_fc = set_mat(lib["fc"]) # Fission chamber -mat_cr = set_mat(lib["cr"]) # Control rod -mat_mod = set_mat(lib["mod"]) # Moderator - -# ============================================================================= -# Pin cells -# ============================================================================= - -pitch = 1.26 -radius = 0.54 -core_height = 128.52 -refl_thick = 21.42 - -# Control rod banks fractions -# All out: 0.0 -# All in : 1.0 -cr1 = 0.0 -cr2 = 0.0 -cr3 = 0.0 -cr4 = 0.0 -# Control rod banks interfaces -cr1 = core_height * (0.5 - cr1) -cr2 = core_height * (0.5 - cr2) -cr3 = core_height * (0.5 - cr3) -cr4 = core_height * (0.5 - cr4) - -# Surfaces -cy = mcdc.surface("cylinder-z", center=[0.0, 0.0], radius=radius) -z1 = mcdc.surface("plane-z", z=cr1) # Control rod banks interfaces -z2 = mcdc.surface("plane-z", z=cr2) -z3 = mcdc.surface("plane-z", z=cr3) -z4 = mcdc.surface("plane-z", z=cr4) -zf = mcdc.surface("plane-z", z=core_height / 2) - -# Fission chamber -fc = mcdc.cell([-cy], mat_fc) -mod = mcdc.cell([+cy], mat_mod) -fission_chamber = mcdc.universe([fc, mod])["ID"] - -# Fuel rods -uo2 = mcdc.cell([-cy, -zf], mat_uo2) -mox4 = mcdc.cell([-cy, -zf], mat_mox43) -mox7 = mcdc.cell([-cy, -zf], mat_mox7) -mox8 = mcdc.cell([-cy, -zf], mat_mox87) -moda = mcdc.cell([-cy, +zf], mat_mod) # Water above pin -fuel_uo2 = mcdc.universe([uo2, mod, moda])["ID"] -fuel_mox43 = mcdc.universe([mox4, mod, moda])["ID"] -fuel_mox7 = mcdc.universe([mox7, mod, moda])["ID"] -fuel_mox87 = mcdc.universe([mox8, mod, moda])["ID"] - -# Control rods and guide tubes -cr1 = mcdc.cell([-cy, +z1], mat_cr) -cr2 = mcdc.cell([-cy, +z2], mat_cr) -cr3 = mcdc.cell([-cy, +z3], mat_cr) -cr4 = mcdc.cell([-cy, +z4], mat_cr) -gt1 = mcdc.cell([-cy, -z1], mat_gt) -gt2 = mcdc.cell([-cy, -z2], mat_gt) -gt3 = mcdc.cell([-cy, -z3], mat_gt) -gt4 = mcdc.cell([-cy, -z4], mat_gt) -control_rod1 = mcdc.universe([cr1, gt1, mod])["ID"] -control_rod2 = mcdc.universe([cr2, gt2, mod])["ID"] -control_rod3 = mcdc.universe([cr3, gt3, mod])["ID"] -control_rod4 = mcdc.universe([cr4, gt4, mod])["ID"] - -# ============================================================================= -# Fuel lattices -# ============================================================================= - -# UO2 lattice 1 -u = fuel_uo2 -c = control_rod1 -f = fission_chamber -lattice_1 = mcdc.lattice( - x=[-pitch * 17 / 2, pitch, 17], - y=[-pitch * 17 / 2, pitch, 17], - universes=[ - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], - [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, c, u, u, c, u, u, f, u, u, c, u, u, c, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], - [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - ], -) - -# MOX lattice 2 -l = fuel_mox43 -m = fuel_mox7 -n = fuel_mox87 -c = control_rod2 -f = fission_chamber -lattice_2 = mcdc.lattice( - x=[-pitch * 17 / 2, pitch, 17], - y=[-pitch * 17 / 2, pitch, 17], - universes=[ - [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], - [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], - [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], - [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], - [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], - [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, c, n, n, c, n, n, f, n, n, c, n, n, c, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], - [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], - [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], - [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], - [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], - [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], - ], -) - -# MOX lattice 3 -l = fuel_mox43 -m = fuel_mox7 -n = fuel_mox87 -c = control_rod3 -f = fission_chamber -lattice_3 = mcdc.lattice( - x=[-pitch * 17 / 2, pitch, 17], - y=[-pitch * 17 / 2, pitch, 17], - universes=[ - [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], - [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], - [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], - [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], - [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], - [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, c, n, n, c, n, n, f, n, n, c, n, n, c, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], - [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], - [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], - [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], - [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], - [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], - ], -) - -# UO2 lattice 4 -u = fuel_uo2 -c = control_rod4 -f = fission_chamber -lattice_4 = mcdc.lattice( - x=[-pitch * 17 / 2, pitch, 17], - y=[-pitch * 17 / 2, pitch, 17], - universes=[ - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], - [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, c, u, u, c, u, u, f, u, u, c, u, u, c, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], - [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - ], -) - -# ============================================================================= -# Assemblies and core -# ============================================================================= - -# Surfaces -x0 = mcdc.surface("plane-x", x=0.0, bc="reflective") -x1 = mcdc.surface("plane-x", x=pitch * 17) -x2 = mcdc.surface("plane-x", x=pitch * 17 * 2) -x3 = mcdc.surface("plane-x", x=pitch * 17 * 3, bc="vacuum") - -y0 = mcdc.surface("plane-y", y=-pitch * 17 * 3, bc="vacuum") -y1 = mcdc.surface("plane-y", y=-pitch * 17 * 2) -y2 = mcdc.surface("plane-y", y=-pitch * 17) -y3 = mcdc.surface("plane-y", y=0.0, bc="reflective") - -z0 = mcdc.surface("plane-z", z=-(core_height / 2 + refl_thick), bc="vacuum") -z1 = mcdc.surface("plane-z", z=-(core_height / 2)) -z2 = mcdc.surface("plane-z", z=(core_height / 2 + refl_thick), bc="vacuum") - -# Assembly cells -center = np.array([pitch * 17 / 2, -pitch * 17 / 2, 0.0]) -assembly_1 = mcdc.cell([+x0, -x1, +y2, -y3, +z1, -z2], lattice_1, lattice_center=center) - -center += np.array([pitch * 17, 0.0, 0.0]) -assembly_2 = mcdc.cell([+x1, -x2, +y2, -y3, +z1, -z2], lattice_2, lattice_center=center) - -center += np.array([-pitch * 17, -pitch * 17, 0.0]) -assembly_3 = mcdc.cell([+x0, -x1, +y1, -y2, +z1, -z2], lattice_3, lattice_center=center) - -center += np.array([pitch * 17, 0.0, 0.0]) -assembly_4 = mcdc.cell([+x1, -x2, +y1, -y2, +z1, -z2], lattice_4, lattice_center=center) - -# Bottom reflector cell -reflector_bottom = mcdc.cell([+x0, -x3, +y0, -y3, +z0, -z1], mat_mod) - -# Side reflectors -reflector_south = mcdc.cell([+x0, -x3, +y0, -y1, +z1, -z2], mat_mod) -reflector_east = mcdc.cell([+x2, -x3, +y1, -y3, +z1, -z2], mat_mod) - -# Root universe -mcdc.universe( - [ - assembly_1, - assembly_2, - assembly_3, - assembly_4, - reflector_bottom, - reflector_south, - reflector_east, - ], - root=True, -) - -# ============================================================================= -# Set source -# ============================================================================= -# Uniform in energy - -source = mcdc.source( - x=[0.0, pitch * 17 * 2], - y=[-pitch * 17 * 2, 0.0], - z=[-core_height / 2, core_height / 2], - energy=np.ones(7), -) - -# ============================================================================= -# Set tally and parameter, and then run mcdc -# ============================================================================= - -# Setting -mcdc.setting(N_particle=2e7, output_name="output_k") -mcdc.eigenmode(N_inactive=50, N_active=150, gyration_radius="all", save_particle=True) -mcdc.population_control() - -# Run -mcdc.run() diff --git a/test/verification/benchmark/c5g7-td/input_td.py b/test/verification/benchmark/c5g7-td/input_td.py deleted file mode 100644 index 4d2c0abe..00000000 --- a/test/verification/benchmark/c5g7-td/input_td.py +++ /dev/null @@ -1,299 +0,0 @@ -import h5py, sys -import numpy as np - -import mcdc - - -# Get IC generator parameters -with h5py.File("output_k.h5", "r") as f: - keff = f["k_mean"][()] - -# ============================================================================= -# Materials -# ============================================================================= - -# Load material data -lib = h5py.File("c5g7_xs.h5", "r") - - -# Setter -def set_mat(mat): - return mcdc.material( - capture=mat["capture"][:], - scatter=mat["scatter"][:], - fission=mat["fission"][:], - nu_p=mat["nu_p"][:] / keff, - nu_d=mat["nu_d"][:] / keff, - chi_p=mat["chi_p"][:], - chi_d=mat["chi_d"][:], - speed=mat["speed"], - decay=mat["decay"], - ) - - -mat_uo2 = set_mat(lib["uo2"]) # Fuel: UO2 -mat_mox43 = set_mat(lib["mox43"]) # Fuel: MOX 4.3% -mat_mox7 = set_mat(lib["mox7"]) # Fuel: MOX 7.0% -mat_mox87 = set_mat(lib["mox87"]) # Fuel: MOX 8.7% -mat_gt = set_mat(lib["gt"]) # Guide tube -mat_fc = set_mat(lib["fc"]) # Fission chamber -mat_cr = set_mat(lib["cr"]) # Control rod -mat_mod = set_mat(lib["mod"]) # Moderator - -# ============================================================================= -# Pin cells -# ============================================================================= - -pitch = 1.26 -radius = 0.54 -core_height = 128.52 -refl_thick = 21.42 - -# Control rod banks fractions -# All out: 0.0 -# All in : 1.0 -cr1 = np.array([0.0]) -cr1_t = np.array([0.0]) - -cr2 = np.array([0.0]) -cr2_t = np.array([0.0]) - -cr3 = np.array([0.0, 0.0, 2.0 / 6.0, 0.0]) -cr3_t = np.array([0.0, 4.0, 6.0, 8.0]) - -cr4 = np.array([0.0, 2.0 / 6.0, 2.0 / 6.0, 0.0]) -cr4_t = np.array([0.0, 2.0, 4.0, 6.0]) - -# Control rod banks interfaces -cr1 = core_height * (0.5 - cr1) -cr2 = core_height * (0.5 - cr2) -cr3 = core_height * (0.5 - cr3) -cr4 = core_height * (0.5 - cr4) - -# Surfaces -cy = mcdc.surface("cylinder-z", center=[0.0, 0.0], radius=radius) -z1 = mcdc.surface("plane-z", z=cr1, t=cr1_t) # Control rod banks interfaces -z2 = mcdc.surface("plane-z", z=cr2, t=cr2_t) -z3 = mcdc.surface("plane-z", z=cr3, t=cr3_t) -z4 = mcdc.surface("plane-z", z=cr4, t=cr4_t) -zf = mcdc.surface("plane-z", z=core_height / 2) - -# Fission chamber -fc = mcdc.cell([-cy], mat_fc) -mod = mcdc.cell([+cy], mat_mod) -fission_chamber = mcdc.universe([fc, mod])["ID"] - -# Fuel rods -uo2 = mcdc.cell([-cy, -zf], mat_uo2) -mox4 = mcdc.cell([-cy, -zf], mat_mox43) -mox7 = mcdc.cell([-cy, -zf], mat_mox7) -mox8 = mcdc.cell([-cy, -zf], mat_mox87) -moda = mcdc.cell([-cy, +zf], mat_mod) # Water above pin -fuel_uo2 = mcdc.universe([uo2, mod, moda])["ID"] -fuel_mox43 = mcdc.universe([mox4, mod, moda])["ID"] -fuel_mox7 = mcdc.universe([mox7, mod, moda])["ID"] -fuel_mox87 = mcdc.universe([mox8, mod, moda])["ID"] - -# Control rods and guide tubes -cr1 = mcdc.cell([-cy, +z1], mat_cr) -cr2 = mcdc.cell([-cy, +z2], mat_cr) -cr3 = mcdc.cell([-cy, +z3], mat_cr) -cr4 = mcdc.cell([-cy, +z4], mat_cr) -gt1 = mcdc.cell([-cy, -z1], mat_gt) -gt2 = mcdc.cell([-cy, -z2], mat_gt) -gt3 = mcdc.cell([-cy, -z3], mat_gt) -gt4 = mcdc.cell([-cy, -z4], mat_gt) -control_rod1 = mcdc.universe([cr1, gt1, mod])["ID"] -control_rod2 = mcdc.universe([cr2, gt2, mod])["ID"] -control_rod3 = mcdc.universe([cr3, gt3, mod])["ID"] -control_rod4 = mcdc.universe([cr4, gt4, mod])["ID"] - -# ============================================================================= -# Fuel lattices -# ============================================================================= - -# UO2 lattice 1 -u = fuel_uo2 -c = control_rod1 -f = fission_chamber -lattice_1 = mcdc.lattice( - x=[-pitch * 17 / 2, pitch, 17], - y=[-pitch * 17 / 2, pitch, 17], - universes=[ - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], - [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, c, u, u, c, u, u, f, u, u, c, u, u, c, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], - [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - ], -) - -# MOX lattice 2 -l = fuel_mox43 -m = fuel_mox7 -n = fuel_mox87 -c = control_rod2 -f = fission_chamber -lattice_2 = mcdc.lattice( - x=[-pitch * 17 / 2, pitch, 17], - y=[-pitch * 17 / 2, pitch, 17], - universes=[ - [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], - [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], - [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], - [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], - [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], - [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, c, n, n, c, n, n, f, n, n, c, n, n, c, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], - [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], - [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], - [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], - [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], - [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], - ], -) - -# MOX lattice 3 -l = fuel_mox43 -m = fuel_mox7 -n = fuel_mox87 -c = control_rod3 -f = fission_chamber -lattice_3 = mcdc.lattice( - x=[-pitch * 17 / 2, pitch, 17], - y=[-pitch * 17 / 2, pitch, 17], - universes=[ - [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], - [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], - [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], - [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], - [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], - [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, c, n, n, c, n, n, f, n, n, c, n, n, c, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], - [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], - [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], - [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], - [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], - [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], - [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], - ], -) - -# UO2 lattice 4 -u = fuel_uo2 -c = control_rod4 -f = fission_chamber -lattice_4 = mcdc.lattice( - x=[-pitch * 17 / 2, pitch, 17], - y=[-pitch * 17 / 2, pitch, 17], - universes=[ - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], - [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, c, u, u, c, u, u, f, u, u, c, u, u, c, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], - [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], - ], -) - -# ============================================================================= -# Assemblies and core -# ============================================================================= - -# Surfaces -x0 = mcdc.surface("plane-x", x=0.0, bc="reflective") -x1 = mcdc.surface("plane-x", x=pitch * 17) -x2 = mcdc.surface("plane-x", x=pitch * 17 * 2) -x3 = mcdc.surface("plane-x", x=pitch * 17 * 3, bc="vacuum") - -y0 = mcdc.surface("plane-y", y=-pitch * 17 * 3, bc="vacuum") -y1 = mcdc.surface("plane-y", y=-pitch * 17 * 2) -y2 = mcdc.surface("plane-y", y=-pitch * 17) -y3 = mcdc.surface("plane-y", y=0.0, bc="reflective") - -z0 = mcdc.surface("plane-z", z=-(core_height / 2 + refl_thick), bc="vacuum") -z1 = mcdc.surface("plane-z", z=-(core_height / 2)) -z2 = mcdc.surface("plane-z", z=(core_height / 2 + refl_thick), bc="vacuum") - -# Assembly cells -center = np.array([pitch * 17 / 2, -pitch * 17 / 2, 0.0]) -assembly_1 = mcdc.cell([+x0, -x1, +y2, -y3, +z1, -z2], lattice_1, lattice_center=center) - -center += np.array([pitch * 17, 0.0, 0.0]) -assembly_2 = mcdc.cell([+x1, -x2, +y2, -y3, +z1, -z2], lattice_2, lattice_center=center) - -center += np.array([-pitch * 17, -pitch * 17, 0.0]) -assembly_3 = mcdc.cell([+x0, -x1, +y1, -y2, +z1, -z2], lattice_3, lattice_center=center) - -center += np.array([pitch * 17, 0.0, 0.0]) -assembly_4 = mcdc.cell([+x1, -x2, +y1, -y2, +z1, -z2], lattice_4, lattice_center=center) - -# Bottom reflector cell -reflector_bottom = mcdc.cell([+x0, -x3, +y0, -y3, +z0, -z1], mat_mod) - -# Side reflectors -reflector_south = mcdc.cell([+x0, -x3, +y0, -y1, +z1, -z2], mat_mod) -reflector_east = mcdc.cell([+x2, -x3, +y1, -y3, +z1, -z2], mat_mod) - -# Root universe -mcdc.universe( - [ - assembly_1, - assembly_2, - assembly_3, - assembly_4, - reflector_bottom, - reflector_south, - reflector_east, - ], - root=True, -) - -# ============================================================================= -# Set problem and tally, and then run mcdc -# ============================================================================= - -# Tally -mcdc.tally(["fission"], t=np.linspace(0, 8.0, 81)) - -# Setting -mcdc.setting( - IC_file="output_ic.h5", - output_name="output_td", - active_bank_buff=10000, -) - -# Run -mcdc.run() diff --git a/test/verification/benchmark/c5g7-td/mpact_TD4-4.txt b/test/verification/benchmark/c5g7-td/mpact_TD4-4.txt deleted file mode 100644 index a2396c80..00000000 --- a/test/verification/benchmark/c5g7-td/mpact_TD4-4.txt +++ /dev/null @@ -1,229 +0,0 @@ -0.000 1.0000E+00 -0.025 9.9302E-01 -0.050 9.8534E-01 -0.075 9.7772E-01 -0.100 9.7013E-01 -0.125 9.6262E-01 -0.150 9.5497E-01 -0.175 9.4746E-01 -0.200 9.4002E-01 -0.225 9.3258E-01 -0.250 9.2522E-01 -0.275 9.1269E-01 -0.300 9.0007E-01 -0.325 8.8780E-01 -0.350 8.7578E-01 -0.375 8.6405E-01 -0.400 8.5230E-01 -0.425 8.4088E-01 -0.450 8.2971E-01 -0.475 8.1868E-01 -0.500 8.0786E-01 -0.525 7.9278E-01 -0.550 7.7794E-01 -0.575 7.6368E-01 -0.600 7.4989E-01 -0.625 7.3657E-01 -0.650 7.2337E-01 -0.675 7.1071E-01 -0.700 6.9843E-01 -0.725 6.8641E-01 -0.750 6.7471E-01 -0.775 6.6006E-01 -0.800 6.4583E-01 -0.825 6.3224E-01 -0.850 6.1915E-01 -0.875 6.0658E-01 -0.900 5.9420E-01 -0.925 5.8237E-01 -0.950 5.7095E-01 -0.975 5.5982E-01 -1.000 5.4905E-01 -1.025 5.3625E-01 -1.050 5.2391E-01 -1.075 5.1214E-01 -1.100 5.0083E-01 -1.125 4.8999E-01 -1.150 4.7932E-01 -1.175 4.6915E-01 -1.200 4.5935E-01 -1.225 4.4981E-01 -1.250 4.4059E-01 -1.275 4.3000E-01 -1.300 4.1980E-01 -1.325 4.1008E-01 -1.350 4.0074E-01 -1.375 3.9178E-01 -1.400 3.8297E-01 -1.425 3.7457E-01 -1.450 3.6647E-01 -1.475 3.5859E-01 -1.500 3.5098E-01 -1.525 3.4243E-01 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7.5783E-01 -16.000 7.6096E-01 \ No newline at end of file diff --git a/test/verification/benchmark/c5g7-td/process_td.py b/test/verification/benchmark/c5g7-td/process_td.py deleted file mode 100644 index 2cc70fb2..00000000 --- a/test/verification/benchmark/c5g7-td/process_td.py +++ /dev/null @@ -1,40 +0,0 @@ -import numpy as np -import matplotlib.pyplot as plt -import h5py, sys -from matplotlib import cm -from matplotlib import colors - - -# ============================================================================= -# Plot results -# ============================================================================= - -# MPACT solution -data = np.loadtxt("mpact_TD4-4.txt") -t_ref = data[:, 0] -phi_ref = data[:, 1] - -# Grids -with h5py.File("output_td.h5", "r") as f: - t = f["tally/grid/t"][:] - -# Solution -with h5py.File("output_ic.h5", "r") as f: - norm = f["IC/fission"][()] -with h5py.File("output_td.h5", "r") as f: - phi = f["tally/fission/mean"][:] - phi = phi / norm - -plt.figure(figsize=(4, 3)) -# plt.plot(t_ref, phi_ref,'r-', label='MPACT') - -x = 0.5 * (t[1:] + t[:-1]) -y = phi -plt.plot(x, y, "bo", fillstyle="none", label="MC/DC") -plt.xlim([0, 8]) -plt.xlabel("Time [s]") -plt.ylabel("Normalized fission rate") -plt.grid() -plt.legend() -plt.savefig("C5G7-TD4-4.png", dpi=1200, bbox_inches="tight", pad_inches=0) -plt.show() diff --git a/test/verification/benchmark/reed/input.py b/test/verification/benchmark/reed/input.py deleted file mode 100644 index 176779c5..00000000 --- a/test/verification/benchmark/reed/input.py +++ /dev/null @@ -1,53 +0,0 @@ -import numpy as np -import sys - -import mcdc - - -# ============================================================================= -# Set model -# ============================================================================= -# Three slab layers with different materials -# Based on William H. Reed, NSE (1971), 46:2, 309-314, DOI: 10.13182/NSE46-309 - -# Set materials -m1 = mcdc.material(capture=np.array([50.0])) -m2 = mcdc.material(capture=np.array([5.0])) -m3 = mcdc.material(capture=np.array([0.0])) # Vacuum -m4 = mcdc.material(capture=np.array([0.1]), scatter=np.array([[0.9]])) - -# Set surfaces -s1 = mcdc.surface("plane-x", x=0.0, bc="reflective") -s2 = mcdc.surface("plane-x", x=2.0) -s3 = mcdc.surface("plane-x", x=3.0) -s4 = mcdc.surface("plane-x", x=5.0) -s5 = mcdc.surface("plane-x", x=8.0, bc="vacuum") - -# Set cells -mcdc.cell([+s1, -s2], m1) -mcdc.cell([+s2, -s3], m2) -mcdc.cell([+s3, -s4], m3) -mcdc.cell([+s4, -s5], m4) - -# ============================================================================= -# Set source -# ============================================================================= - -# Isotropic source in the absorbing medium -mcdc.source(x=[0.0, 2.0], isotropic=True, prob=100.0) - -# Isotropic source in the first half of the outermost medium, -# with 1/100 strength -mcdc.source(x=[5.0, 6.0], isotropic=True, prob=1.0) - -# ============================================================================= -# Set tally, setting, and run mcdc -# ============================================================================= - -mcdc.tally(scores=["flux"], x=np.linspace(0.0, 8.0, 41)) - -# Setting -mcdc.setting(N_particle=1000) - -# Run -mcdc.run() diff --git a/test/verification/benchmark/reed/plot.py b/test/verification/benchmark/reed/plot.py deleted file mode 100644 index 87c7ab65..00000000 --- a/test/verification/benchmark/reed/plot.py +++ /dev/null @@ -1,29 +0,0 @@ -import matplotlib.pyplot as plt -import h5py -import sys - -from reference import reference - - -# Load results -output = sys.argv[1] -with h5py.File(output, "r") as f: - x = f["tally/grid/x"][:] - dx = x[1:] - x[:-1] - x_mid = 0.5 * (x[:-1] + x[1:]) - phi = f["tally/flux/mean"][:] / dx * 101.0 - phi_sd = f["tally/flux/sdev"][:] / dx * 101.0 - -# Reference solution -phi_ref = reference(x) - -# Flux - spatial average -plt.plot(x_mid, phi, "-b", label="MC") -plt.fill_between(x_mid, phi - phi_sd, phi + phi_sd, alpha=0.2, color="b") -plt.plot(x_mid, phi_ref, "--r", label="Ref.") -plt.xlabel(r"$x$, cm") -plt.ylabel("Flux") -plt.grid() -plt.legend() -plt.title(r"$\bar{\phi}_i$") -plt.show() diff --git a/test/verification/benchmark/reed/process.py b/test/verification/benchmark/reed/process.py deleted file mode 100644 index 2cac9a1e..00000000 --- a/test/verification/benchmark/reed/process.py +++ /dev/null @@ -1,36 +0,0 @@ -from reference import reference -import numpy as np -import h5py -import sys - -sys.path.append("../../") -import tool - - -# Cases run -N_min = int(sys.argv[1]) -N_max = int(sys.argv[2]) -N_particle_list = np.logspace(N_min, N_max, (N_max - N_min) * 2 + 1) - -# Reference solution -with h5py.File("output_%i.h5" % int(N_particle_list[0]), "r") as f: - x = f["tally/grid/x"][:] - dx = x[1:] - x[:-1] -phi_ref = reference(x) - -# Error containers -error = np.zeros(len(N_particle_list)) - -error_max = np.zeros(len(N_particle_list)) - -# Calculate error -for k, N_particle in enumerate(N_particle_list): - # Get results - with h5py.File("output_%i.h5" % int(N_particle), "r") as f: - phi = f["tally/flux/mean"][:] / dx * 101.0 - - # Get error - error[k] = tool.error(phi, phi_ref) - error_max[k] = tool.error_max(phi, phi_ref) - -tool.plot_convergence("reed_flux", N_particle_list, error, error_max) diff --git a/test/verification/benchmark/reed/reference.py b/test/verification/benchmark/reed/reference.py deleted file mode 100644 index 8ddee379..00000000 --- a/test/verification/benchmark/reed/reference.py +++ /dev/null @@ -1,78 +0,0 @@ -import numpy as np -from scipy.integrate import quad - - -def phi1(x): - return ( - 1.0 - - 5.96168047527760 * 10 ** (-47) * np.cosh(52.06761235859028 * x) - - 6.78355315350872 * 10 ** (-56) * np.cosh(62.76152118553390 * x) - - 7.20274049646598 * 10 ** (-84) * np.cosh(95.14161078659372 * x) - - 6.34541150517664 * 10 ** (-238) * np.cosh(272.5766481169758 * x) - ) - - -def phi2(x): - return ( - 1.685808767651539 * 10**3 * np.exp(-5.206761235859028 * x) - + 3.143867366942945 * 10**4 * np.exp(-6.276152118553390 * x) - + 2.879977113018352 * 10**7 * np.exp(-9.514161078659372 * x) - + 8.594190506002560 * 10**22 * np.exp(-27.25766481169758 * x) - + 1.298426035202193 * 10 ** (-36) * np.exp(27.25766481169758 * x) - + 1.432344656303454 * 10 ** (-13) * np.exp(9.514161078659372 * x) - + 1.514562265056083 * 10 ** (-9) * np.exp(6.276152118553390 * x) - + 1.594431209450755 * 10 ** (-8) * np.exp(5.206761235859028 * x) - ) - - -def phi3(x): - return 1.105109108062394 - - -def phi4(x): - return ( - 10.0 - - 0.1983746883968300 * np.exp(0.5254295183311557 * x) - - 7.824765332896027 * 10 ** (-5) * np.exp(1.108937229227813 * x) - - 9.746660212187006 * 10 ** (-6) * np.exp(1.615640334315550 * x) - - 2.895098351422132 * 10 ** (-13) * np.exp(4.554850586269065 * x) - - 75.34793864805979 * np.exp(-0.5254295183311557 * x) - - 20.42874998426011 * np.exp(-1.108937229227813 * x) - - 7.129175418204712 * 10 ** (2) * np.exp(-1.615640334315550 * x) - - 2.716409367577795 * 10 ** (9) * np.exp(-4.554850586269065 * x) - ) - - -def phi5(x): - return ( - 31.53212162577067 * np.exp(-0.5254295183311557 * x) - + 26.25911060454856 * np.exp(-1.108937229227813 * x) - + 1.841223066417334 * 10 ** (3) * np.exp(-1.615640334315550 * x) - + 1.555593549394869 * 10 ** (11) * np.exp(-4.554850586269065 * x) - - 3.119310353653182 * 10 ** (-3) * np.exp(0.5254295183311557 * x) - - 6.336401143340483 * 10 ** (-7) * np.exp(1.108937229227813 * x) - - 3.528757679361232 * 10 ** (-8) * np.exp(1.615640334315550 * x) - - 4.405514335746888 * 10 ** (-18) * np.exp(4.554850586269065 * x) - ) - - -def f_phi(x1, x2): - dx = x2 - x1 - if x2 <= 2.0: - return quad(phi1, x1, x2)[0] / dx - if x2 <= 3.0: - return quad(phi2, x1, x2)[0] / dx - if x2 <= 5.0: - return quad(phi3, x1, x2)[0] / dx - if x2 <= 6.0: - return quad(phi4, x1, x2)[0] / dx - return quad(phi5, x1, x2)[0] / dx - - -def reference(x): - phi = np.zeros(len(x) - 1) - - for i in range(len(phi)): - phi[i] = f_phi(x[i], x[i + 1]) - - return phi From 18ecd72e882909ff3a5060e2d2503f2e1cf22ba6 Mon Sep 17 00:00:00 2001 From: ilhamv Date: Tue, 6 Feb 2024 08:29:54 -0800 Subject: [PATCH 03/31] add verification tests back in --- test/verification/analytic/azurv1/input.py | 50 +++ test/verification/analytic/azurv1/plot.py | 60 ++++ test/verification/analytic/azurv1/process.py | 46 +++ .../analytic/azurv1/reference.npz | Bin 0 -> 99636 bytes .../verification/analytic/azurv1/reference.py | 72 +++++ test/verification/analytic/cleanup.py | 10 + test/verification/analytic/display.py | 5 + .../analytic/inf_shem361/SHEM-361.npz | Bin 0 -> 4232222 bytes .../analytic/inf_shem361/input.py | 62 ++++ .../verification/analytic/inf_shem361/plot.py | 32 ++ .../analytic/inf_shem361/process.py | 32 ++ .../analytic/inf_shem361/reference.py | 20 ++ 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| 296 +++++++++++++++++ .../verification/benchmark/c5g7-td/input_k.py | 293 +++++++++++++++++ .../benchmark/c5g7-td/input_td.py | 299 ++++++++++++++++++ .../benchmark/c5g7-td/mpact_TD4-4.txt | 229 ++++++++++++++ .../benchmark/c5g7-td/process_td.py | 40 +++ test/verification/benchmark/reed/input.py | 53 ++++ test/verification/benchmark/reed/plot.py | 29 ++ test/verification/benchmark/reed/process.py | 36 +++ test/verification/benchmark/reed/reference.py | 78 +++++ 40 files changed, 2710 insertions(+) create mode 100644 test/verification/analytic/azurv1/input.py create mode 100644 test/verification/analytic/azurv1/plot.py create mode 100644 test/verification/analytic/azurv1/process.py create mode 100644 test/verification/analytic/azurv1/reference.npz create mode 100644 test/verification/analytic/azurv1/reference.py create mode 100644 test/verification/analytic/cleanup.py create mode 100644 test/verification/analytic/display.py create mode 100644 test/verification/analytic/inf_shem361/SHEM-361.npz create mode 100644 test/verification/analytic/inf_shem361/input.py create mode 100644 test/verification/analytic/inf_shem361/plot.py create mode 100644 test/verification/analytic/inf_shem361/process.py create mode 100644 test/verification/analytic/inf_shem361/reference.py create mode 100644 test/verification/analytic/inf_shem361_td/SHEM-361.npz create mode 100644 test/verification/analytic/inf_shem361_td/input.py create mode 100644 test/verification/analytic/inf_shem361_td/plot.py create mode 100644 test/verification/analytic/inf_shem361_td/process.py create mode 100644 test/verification/analytic/inf_shem361_td/reference.npz create mode 100644 test/verification/analytic/inf_shem361_td/reference.py create mode 100644 test/verification/analytic/process.py create mode 100644 test/verification/analytic/run.py create mode 100644 test/verification/analytic/slab_absorbium/input.py create mode 100644 test/verification/analytic/slab_absorbium/plot.py create mode 100644 test/verification/analytic/slab_absorbium/process.py create mode 100644 test/verification/analytic/slab_absorbium/reference.py create mode 100644 test/verification/analytic/slab_isobeam_td/input.py create mode 100644 test/verification/analytic/slab_isobeam_td/plot.py create mode 100644 test/verification/analytic/slab_isobeam_td/process.py create mode 100644 test/verification/analytic/slab_isobeam_td/reference.py create mode 100644 test/verification/analytic/task.py create mode 100644 test/verification/analytic/tool.py create mode 100644 test/verification/benchmark/c5g7-td/c5g7_xs.h5 create mode 100644 test/verification/benchmark/c5g7-td/input_ic.py create mode 100644 test/verification/benchmark/c5g7-td/input_k.py create mode 100644 test/verification/benchmark/c5g7-td/input_td.py create mode 100644 test/verification/benchmark/c5g7-td/mpact_TD4-4.txt create mode 100644 test/verification/benchmark/c5g7-td/process_td.py create mode 100644 test/verification/benchmark/reed/input.py create mode 100644 test/verification/benchmark/reed/plot.py create mode 100644 test/verification/benchmark/reed/process.py create mode 100644 test/verification/benchmark/reed/reference.py diff --git a/test/verification/analytic/azurv1/input.py b/test/verification/analytic/azurv1/input.py new file mode 100644 index 00000000..aa138841 --- /dev/null +++ b/test/verification/analytic/azurv1/input.py @@ -0,0 +1,50 @@ +import numpy as np +import sys + +import mcdc + +# ============================================================================= +# Set model +# ============================================================================= +# Infinite medium with isotropic plane surface at the center +# Based on Ganapol LA-UR-01-1854 (AZURV1 benchmark) +# Effective scattering ratio c = 1.1 + +# Set materials +m = mcdc.material( + capture=np.array([1.0 / 3.0]), + scatter=np.array([[1.0 / 3.0]]), + fission=np.array([1.0 / 3.0]), + nu_p=np.array([2.3]), +) + +# Set surfaces +s1 = mcdc.surface("plane-x", x=-1e10, bc="reflective") +s2 = mcdc.surface("plane-x", x=1e10, bc="reflective") + +# Set cells +mcdc.cell([+s1, -s2], m) + +# ============================================================================= +# Set source +# ============================================================================= +# Isotropic pulse at x=t=0 + +mcdc.source(point=[0.0, 0.0, 0.0], isotropic=True, time=[1e-10, 1e-10]) + +# ============================================================================= +# Set tally, setting, and run mcdc +# ============================================================================= + +# Tally: cell-average, cell-edge, and time-edge scalar fluxes +mcdc.tally( + scores=["flux"], + x=np.linspace(-20.5, 20.5, 202), + t=np.linspace(0.0, 20.0, 21), +) + +# Setting +mcdc.setting(N_particle=1000) + +# Run +mcdc.run() diff --git a/test/verification/analytic/azurv1/plot.py b/test/verification/analytic/azurv1/plot.py new file mode 100644 index 00000000..67b8f932 --- /dev/null +++ b/test/verification/analytic/azurv1/plot.py @@ -0,0 +1,60 @@ +import numpy as np +import matplotlib.pyplot as plt +import matplotlib.animation as animation +import h5py +import sys + + +# Reference solution +data = np.load("reference.npz") +phi_ref = data["phi"] + +# Get results +output = sys.argv[1] +with h5py.File(output, "r") as f: + x = f["tally/grid/x"][:] + dx = x[1:] - x[:-1] + x_mid = 0.5 * (x[:-1] + x[1:]) + t = f["tally/grid/t"][:] + dt = t[1:] - t[:-1] + K = len(t) - 1 + + phi = f["tally/flux/mean"][:] + phi_sd = f["tally/flux/sdev"][:] + + # Normalize + for k in range(K): + phi[k] /= dx * dt[k] + phi_sd[k] /= dx * dt[k] + +# Flux - average +fig = plt.figure() +ax = plt.axes( + xlim=(-21.889999999999997, 21.89), ylim=(-0.042992644459595206, 0.9028455336514992) +) +ax.grid() +ax.set_xlabel(r"$x$") +ax.set_ylabel(r"Flux") +ax.set_title(r"$\bar{\phi}_{k,j}$") +(line1,) = ax.plot([], [], "-b", label="MC") +(line2,) = ax.plot([], [], "--r", label="Ref.") +fb = ax.fill_between([], [], [], [], alpha=0.2, color="b") +text = ax.text(0.02, 0.9, "", transform=ax.transAxes) +ax.legend() + + +def animate(k): + global fb + fb.remove() + line1.set_data(x_mid, phi[k, :]) + fb = ax.fill_between( + x_mid, phi[k, :] - phi_sd[k, :], phi[k, :] + phi_sd[k, :], alpha=0.2, color="b" + ) + line2.set_data(x_mid, phi_ref[k, :]) + text.set_text(r"$t \in [%.1f,%.1f]$ s" % (t[k], t[k + 1])) + return line1, line2, text + + +simulation = animation.FuncAnimation(fig, animate, frames=K) +writervideo = animation.FFMpegWriter(fps=6) +plt.show() diff --git a/test/verification/analytic/azurv1/process.py b/test/verification/analytic/azurv1/process.py new file mode 100644 index 00000000..e707d5e2 --- /dev/null +++ b/test/verification/analytic/azurv1/process.py @@ -0,0 +1,46 @@ +import numpy as np +import h5py +import sys + +sys.path.append("../") +import tool + + +# Cases run +N_min = int(sys.argv[1]) +N_max = int(sys.argv[2]) +N = int(sys.argv[3]) +N_particle_list = np.logspace(N_min, N_max, N) + +# Reference solution +data = np.load("reference.npz") +phi_ref = data["phi"] + +# Error containers +error = np.zeros(len(N_particle_list)) + +error_max = np.zeros(len(N_particle_list)) + +# Calculate error +for i, N_particle in enumerate(N_particle_list): + # Get results + with h5py.File("output_%i.h5" % int(N_particle), "r") as f: + x = f["tally/grid/x"][:] + dx = x[1:] - x[:-1] + t = f["tally/grid/t"][:] + dt = t[1:] - t[:-1] + K = len(t) - 1 + + phi = f["tally/flux/mean"][:] + + # Normalize + for k in range(K): + phi[k] /= dx * dt[k] + + # Get error + error[i] = tool.error(phi, phi_ref) + + error_max[i] = tool.error_max(phi, phi_ref) + +# Plot +tool.plot_convergence("azurv1_pl_flux", N_particle_list, error, error_max) diff --git a/test/verification/analytic/azurv1/reference.npz b/test/verification/analytic/azurv1/reference.npz new file mode 100644 index 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b/test/verification/analytic/azurv1/reference.py @@ -0,0 +1,72 @@ +import numpy as np +from scipy.integrate import quad + + +# ============================================================================= +# Reference solution generator +# ============================================================================= + +# Scattering ratio +c = 1.1 +i = complex(0, 1) + +# Spatial grid +J = 201 +x = np.linspace(-20.5, 20.5, J + 1) + +# Time grid +K = 20 +t = np.linspace(0.0, 20.0, K + 1) + + +def integrand(u, eta, t): + q = (1 + eta) / (1 - eta) + xi = (np.log(q) + i * u) / (eta + i * np.tan(u / 2)) + return ( + 1.0 + / (np.cos(u / 2)) ** 2 + * (xi**2 * np.e ** (c * t / 2 * (1 - eta**2) * xi)).real + ) + + +def phi(x, t): + if t == 0.0 or abs(x) >= t: + return 0.0 + eta = x / t + integral = quad(integrand, 0.0, np.pi, args=(eta, t))[0] + return np.e**-t / 2 / t * (1 + c * t / 4 / np.pi * (1 - eta**2) * integral) + + +def phi_t(t, x): + if t == 0.0 or abs(x) >= t: + return 0.0 + eta = x / t + integral = quad(integrand, 0.0, np.pi, args=(eta, t))[0] + return np.e**-t / 2 / t * (1 + c * t / 4 / np.pi * (1 - eta**2) * integral) + + +def phiX(x, t0, t1): + return quad(phi_t, t0, t1, args=(x))[0] + + +phi_avg = np.zeros([K, J]) + +for k in range(K): + for j in range(J): + x0 = x[j] + x1 = x[j + 1] + dx = x1 - x0 + t0 = t[k] + t1 = t[k + 1] + dt = t1 - t0 + phi_avg[k, j] = quad(phiX, x0, x1, args=(t0, t1))[0] / dx / dt + +for j in range(J + 1): + for k in range(K): + t0 = t[k] + t1 = t[k + 1] + dt = t1 - t0 + +phi_avg = np.nan_to_num(phi_avg) + +np.savez("reference.npz", x=x, t=t, phi=phi_avg) diff --git a/test/verification/analytic/cleanup.py b/test/verification/analytic/cleanup.py new file mode 100644 index 00000000..046b35d3 --- /dev/null +++ b/test/verification/analytic/cleanup.py @@ -0,0 +1,10 @@ +import numpy as np +import os +from task import task + + +os.system("rm results/*png") +for name in task.keys(): + os.chdir(name) + os.system("rm output*") + os.chdir(r"..") diff --git a/test/verification/analytic/display.py b/test/verification/analytic/display.py new file mode 100644 index 00000000..93f8db2f --- /dev/null +++ b/test/verification/analytic/display.py @@ -0,0 +1,5 @@ +import os +import glob + +for name in glob.glob("results/*.png"): + os.system("display %s" % name) diff --git a/test/verification/analytic/inf_shem361/SHEM-361.npz b/test/verification/analytic/inf_shem361/SHEM-361.npz new file mode 100644 index 0000000000000000000000000000000000000000..6ba2c1f4b355b9709b26c0eb22e56db53c64c0f5 GIT binary patch literal 4232222 zcmd42c{oVX5oHXS${a;W zk^43eW%j$%`+cwX`TgEM-s^q-dG>W3AA9d}_FjAKwLWXF``ovtDkT*Q*}uX=#z{W5 zH=I=Ydr_0IkSQH^aP%Z6W7ux^d(+>Jza>un;swo1mX!l{TbZvdO65bo;!2#H%~N3OJ=rl^ zSO{jFZz(S%6vGYX^BR-uWkA-vi&?SwH3+Xg-?{nfElj+g4O%Fug&qs>qLuOnIM@>5 z#;V;67Z_Z*{Ciqp(>!W#abi2X-}*5#to0H8=-*w_BX&YwyYz0YkZw4=r^;};tp{{k zZ24{`_Q4TGw%W#}Pq2GEKXfDgGuU-flsvN>hV-dU_UY_z@YT-cnpfQj*b3dQJ5DXqhXKbQbj%x%Bm(Mj-;A1QWqoC2fU`!eh$r@?PnH>d8? 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b/test/verification/analytic/inf_shem361/input.py new file mode 100644 index 00000000..cb2965ae --- /dev/null +++ b/test/verification/analytic/inf_shem361/input.py @@ -0,0 +1,62 @@ +import numpy as np +import sys + +import mcdc + + +# ============================================================================= +# Set model +# ============================================================================= +# The infinite homogenous medium is modeled with reflecting slab + +# Load material data +with np.load("SHEM-361.npz") as data: + SigmaC = data["SigmaC"] * 1.5 # /cm + SigmaS = data["SigmaS"] + SigmaF = data["SigmaF"] + nu_p = data["nu_p"] + nu_d = data["nu_d"] + chi_p = data["chi_p"] + chi_d = data["chi_d"] + G = data["G"] + speed = data["v"] + lamd = data["lamd"] + +# Set material +m = mcdc.material( + capture=SigmaC, + scatter=SigmaS, + fission=SigmaF, + nu_p=nu_p, + chi_p=chi_p, + nu_d=nu_d, + chi_d=chi_d, +) + +# Set surfaces +s1 = mcdc.surface("plane-x", x=-1e10, bc="reflective") +s2 = mcdc.surface("plane-x", x=1e10, bc="reflective") + +# Set cells +c = mcdc.cell([+s1, -s2], m) + +# ============================================================================= +# Set initial source +# ============================================================================= + +energy = np.zeros(G) +energy[-1] = 1.0 +source = mcdc.source(energy=energy) + +# ============================================================================= +# Set problem and tally, and then run mcdc +# ============================================================================= + +# Tally +mcdc.tally(scores=["flux"], g="all") + +# Setting +mcdc.setting(N_particle=100, active_bank_buff=1000) + +# Run +mcdc.run() diff --git a/test/verification/analytic/inf_shem361/plot.py b/test/verification/analytic/inf_shem361/plot.py new file mode 100644 index 00000000..56ea2a12 --- /dev/null +++ b/test/verification/analytic/inf_shem361/plot.py @@ -0,0 +1,32 @@ +import numpy as np +import matplotlib.pyplot as plt +import h5py +import sys + +from reference import reference + + +# Load results +output = sys.argv[1] +with np.load("SHEM-361.npz") as data: + E = data["E"] + G = data["G"] + E_mid = 0.5 * (E[1:] + E[:-1]) + dE = E[1:] - E[:-1] +with h5py.File(output, "r") as f: + phi = f["tally/flux/mean"][:] / dE * E_mid + phi_sd = f["tally/flux/sdev"][:] / dE * E_mid + +# Reference solution +phi_ref = reference() / dE * E_mid + +# Flux +plt.plot(E_mid, phi, "-b", label="MC") +plt.fill_between(E_mid, phi - phi_sd, phi + phi_sd, alpha=0.2, color="b") +plt.plot(E_mid, phi_ref, "--r", label="analytical") +plt.xscale("log") +plt.xlabel(r"$E$, eV") +plt.ylabel(r"$E\phi(E)$") +plt.grid() +plt.legend() +plt.show() diff --git a/test/verification/analytic/inf_shem361/process.py b/test/verification/analytic/inf_shem361/process.py new file mode 100644 index 00000000..32c1c323 --- /dev/null +++ b/test/verification/analytic/inf_shem361/process.py @@ -0,0 +1,32 @@ +from reference import reference +import numpy as np +import h5py +import sys + +sys.path.append("../") +import tool + + +# Cases run +N_min = int(sys.argv[1]) +N_max = int(sys.argv[2]) +N_particle_list = np.logspace(N_min, N_max, (N_max - N_min) * 2 + 1) + +# Reference solution +phi_ref = reference() + +# Error container +error = np.zeros(len(N_particle_list)) +error_max = np.zeros(len(N_particle_list)) + +# Calculate error +for k, N_particle in enumerate(N_particle_list): + # Get results + with h5py.File("output_%i.h5" % int(N_particle), "r") as f: + phi = f["tally/flux/mean"][:] + + error[k] = tool.rerror(phi, phi_ref) + error_max[k] = tool.rerror_max(phi, phi_ref) + +# Plot +tool.plot_convergence("inf_shem361_flux", N_particle_list, error, error_max) diff --git a/test/verification/analytic/inf_shem361/reference.py b/test/verification/analytic/inf_shem361/reference.py new file mode 100644 index 00000000..4af70b52 --- /dev/null +++ b/test/verification/analytic/inf_shem361/reference.py @@ -0,0 +1,20 @@ +import numpy as np +from scipy.integrate import quad + + +def reference(): + # Load material data + with np.load("SHEM-361.npz") as data: + SigmaT = data["SigmaT"] + SigmaC = data["SigmaC"] + SigmaS = data["SigmaS"] + nuSigmaF = data["nuSigmaF"] + G = data["G"] + SigmaT += SigmaC * 0.5 + + A = np.diag(SigmaT) - SigmaS - nuSigmaF + Q = np.zeros(G) + Q[-1] = 1.0 + + phi = np.linalg.solve(A, Q) + return phi diff --git a/test/verification/analytic/inf_shem361_td/SHEM-361.npz b/test/verification/analytic/inf_shem361_td/SHEM-361.npz new file mode 100644 index 0000000000000000000000000000000000000000..6ba2c1f4b355b9709b26c0eb22e56db53c64c0f5 GIT binary patch literal 4232222 zcmd42c{oVX5oHXS${a;W zk^43eW%j$%`+cwX`TgEM-s^q-dG>W3AA9d}_FjAKwLWXF``ovtDkT*Q*}uX=#z{W5 zH=I=Ydr_0IkSQH^aP%Z6W7ux^d(+>Jza>un;swo1mX!l{TbZvdO65bo;!2#H%~N3OJ=rl^ zSO{jFZz(S%6vGYX^BR-uWkA-vi&?SwH3+Xg-?{nfElj+g4O%Fug&qs>qLuOnIM@>5 z#;V;67Z_Z*{Ciqp(>!W#abi2X-}*5#to0H8=-*w_BX&YwyYz0YkZw4=r^;};tp{{k 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a/test/verification/analytic/inf_shem361_td/input.py b/test/verification/analytic/inf_shem361_td/input.py new file mode 100644 index 00000000..f36a3158 --- /dev/null +++ b/test/verification/analytic/inf_shem361_td/input.py @@ -0,0 +1,64 @@ +import numpy as np +import sys + +import mcdc + + +# ============================================================================= +# Set model +# ============================================================================= +# The infinite homogenous medium is modeled with reflecting slab + +# Load material data +with np.load("SHEM-361.npz") as data: + SigmaC = data["SigmaC"] * 1.28 # /cm + SigmaS = data["SigmaS"] + SigmaF = data["SigmaF"] + nu_p = data["nu_p"] + nu_d = data["nu_d"] + chi_p = data["chi_p"] + chi_d = data["chi_d"] + G = data["G"] + speed = data["v"] + lamd = data["lamd"] + +# Set material +m = mcdc.material( + capture=SigmaC, + scatter=SigmaS, + fission=SigmaF, + nu_p=nu_p, + chi_p=chi_p, + nu_d=nu_d, + chi_d=chi_d, + decay=lamd, + speed=speed, +) + +# Set surfaces +s1 = mcdc.surface("plane-x", x=-1e10, bc="reflective") +s2 = mcdc.surface("plane-x", x=1e10, bc="reflective") + +# Set cells +c = mcdc.cell([+s1, -s2], m) + +# ============================================================================= +# Set initial source +# ============================================================================= + +energy = np.zeros(G) +energy[-1] = 1.0 +source = mcdc.source(energy=energy) + +# ============================================================================= +# Set problem and tally, and then run mcdc +# ============================================================================= + +# Tally +mcdc.tally(scores=["flux"], t=np.insert(np.logspace(-8, 1, 100), 0, 0.0), g="all") + +# Setting +mcdc.setting(N_particle=1000, active_bank_buff=10000) + +# Run +mcdc.run() diff --git a/test/verification/analytic/inf_shem361_td/plot.py b/test/verification/analytic/inf_shem361_td/plot.py new file mode 100644 index 00000000..5bf03012 --- /dev/null +++ b/test/verification/analytic/inf_shem361_td/plot.py @@ -0,0 +1,92 @@ +import numpy as np +import matplotlib.pyplot as plt +import h5py +import sys +import matplotlib.animation as animation + +# Reference solution +data = np.load("reference.npz") +phi_ref = data["phi"].T +n_ref = data["n"] + +# Load results +output = sys.argv[1] +with np.load("SHEM-361.npz") as data: + E = data["E"] + G = data["G"] + speed = data["v"] + E_mid = 0.5 * (E[1:] + E[:-1]) + dE = E[1:] - E[:-1] +with h5py.File(output, "r") as f: + t = f["tally/grid/t"][:] + dt = t[1:] - t[:-1] + t_mid = 0.5 * (t[1:] + t[:-1]) + K = len(t) - 1 + + phi = f["tally/flux/mean"][:] + phi_sd = f["tally/flux/sdev"][:] + +# Neutron density +n = np.zeros(K) +n_sd = np.zeros(K) +for k in range(K): + n[k] = np.sum(phi[:, k] / speed) / dt[k] + n_sd[k] = np.linalg.norm(phi_sd[:, k] / speed) / dt[k] + +# Normalize +for k in range(K): + phi_ref[:, k] *= E_mid / dE + phi[:, k] *= E_mid / dE / dt[k] + phi_sd[:, k] *= E_mid / dE / dt[k] + +# Flux - t +fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(8, 4)) +fig.tight_layout(pad=3.0) + +ax1.plot(t_mid, n, "-b", label="MC") +no = np.zeros_like(n) +(line,) = ax1.plot(t[1:], no, "ko", fillstyle="none") +ax1.fill_between(t[1:], n - n_sd, n + n_sd, alpha=0.2, color="b") +ax1.plot(t_mid, n_ref, "--r", label="Ref.") +ax1.set_xlabel(r"$t$, s") +ax1.set_ylabel("Density") +ax1.set_yscale("log") +ax1.set_xscale("log") +ax1.grid() +ax1.legend() +ax1.set_title(r"$n_g(t)$") + +ax2.grid() +ax2.set_xlabel(r"$E$, MeV") +ax2.set_ylabel(r"$E\phi(E)$") +ax2.set_title(r"$\phi(E,t)$") +ax2.set_xscale("log") +(line1,) = ax2.plot([], [], "-b", label="MC") +(line2,) = ax2.plot([], [], "--r", label="Ref.") +fb = ax2.fill_between([], [], [], [], alpha=0.2, color="b") +ax2.legend() + + +def animate(k): + global fb + fb.remove() + no[k - 1] = 0.0 + no[k] = n[k] + line.set_data(t[1:], no) + line1.set_data(E_mid, phi[:, k]) + fb = ax2.fill_between( + E_mid, + phi[:, k] - phi_sd[:, k], + phi[:, k] + phi_sd[:, k], + alpha=0.2, + color="b", + ) + line2.set_data(E_mid, phi_ref[:, k]) + ax2.set_ylim([(phi_ref[:, k]).min(), (phi_ref[:, k]).max()]) + ax2.legend() + return line1, line2 + + +simulation = animation.FuncAnimation(fig, animate, frames=K) +writervideo = animation.FFMpegWriter(fps=6) +plt.show() diff --git a/test/verification/analytic/inf_shem361_td/process.py b/test/verification/analytic/inf_shem361_td/process.py new file mode 100644 index 00000000..65928e7b --- /dev/null +++ b/test/verification/analytic/inf_shem361_td/process.py @@ -0,0 +1,60 @@ +import numpy as np +import h5py +import sys +import matplotlib.pyplot as plt +import matplotlib.animation as animation + +sys.path.append("../") +import tool + + +# Cases run +N_min = int(sys.argv[1]) +N_max = int(sys.argv[2]) +N_particle_list = np.logspace(N_min, N_max, (N_max - N_min) * 2 + 1) + +# Reference solution +data = np.load("reference.npz") +phi_ref_ = data["phi"].T +n_ref = data["n"].T + +# Error container +error = np.zeros(len(N_particle_list)) +error_n = np.zeros(len(N_particle_list)) + +error_max = np.zeros(len(N_particle_list)) +error_max_n = np.zeros(len(N_particle_list)) + +# Calculate error +for i, N_particle in enumerate(N_particle_list): + # Get results + with np.load("SHEM-361.npz") as data: + E = data["E"] + G = data["G"] + speed = data["v"] + E_mid = 0.5 * (E[1:] + E[:-1]) + dE = E[1:] - E[:-1] + with h5py.File("output_%i.h5" % int(N_particle), "r") as f: + t = f["tally/grid/t"][:] + dt = t[1:] - t[:-1] + K = len(t) - 1 + phi = f["tally/flux/mean"][:] + + # Neutron density + n = np.zeros(K) + for k in range(K): + n[k] = np.sum(phi[:, k] / speed) / dt[k] + + # Normalize + phi_ref = np.zeros_like(phi_ref_) + for k in range(K): + phi_ref[:, k] = phi_ref_[:, k] * E_mid / dE + phi[:, k] *= E_mid / dE / dt[k] + + error[i] = tool.rerror(phi, phi_ref) + error_n[i] = tool.rerror(n, n_ref) + error_max[i] = tool.rerror_max(phi, phi_ref) + error_max_n[i] = 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z(VT}7;>Q#Mv0Py1?do~eoE;5oe1c1a|9fC(5ev$tp)vgLO#I*B{_n~g|KFw4zhVA= zKV)K?b}qq!2=CvS^xwVyd-BGgL{DO8@#z2cpnq>5|K211o&V3DQ))%@pSKeYRbrBV QPeq8nV$pS&9TB?xAM_pE=>Px# literal 0 HcmV?d00001 diff --git a/test/verification/analytic/inf_shem361_td/reference.py b/test/verification/analytic/inf_shem361_td/reference.py new file mode 100644 index 00000000..3acc3351 --- /dev/null +++ b/test/verification/analytic/inf_shem361_td/reference.py @@ -0,0 +1,72 @@ +import numpy as np +from scipy.linalg import expm +from scipy.integrate import trapz + +# Time grid +t = np.insert(np.logspace(-8, 1, 100), 0, 0.0) +K = len(t) - 1 + +# Load material data +with np.load("SHEM-361.npz") as data: + SigmaT = data["SigmaT"] + SigmaC = data["SigmaC"] + SigmaS = data["SigmaS"] + nuSigmaF_p = data["nuSigmaF_p"] + SigmaF = data["SigmaF"] + nu_p = data["nu_p"] + nu_d = data["nu_d"] + chi_p = data["chi_p"] + chi_d = data["chi_d"] + G = data["G"] + J = data["J"] + E = data["E"] + v = data["v"] + lamd = data["lamd"] +SigmaT += SigmaC * 0.28 + +# Matrix and RHS source +A = np.zeros([G + J, G + J]) + +# Top-left [GxG]: phi --> phi +A[:G, :G] = SigmaS + nuSigmaF_p - np.diag(SigmaT) + +# Top-right [GxJ]: C --> phi +A[:G, G:] = np.multiply(chi_d, lamd) + +# Bottom-left [JxG]: phi --> C +A[G:, :G] = np.multiply(nu_d, SigmaF) + +# bottom-right [JxJ]: C --> C +A[G:, G:] = -np.diag(lamd) + +# Multiply with neutron speed +AV = np.copy(A) +AV[:G, :] = np.dot(np.diag(v), A[:G, :]) + +# Initial condition +PHI_init = np.zeros(G + J) +PHI_init[G - 1] = v[-1] + +# Allocate solution +PHI = np.zeros([K, G + J]) + +# Analytical solution +PHI_OLD = PHI_init +for k in range(K): + print(k) + t1 = t[k] + t2 = t[k + 1] + dt = t2 - t1 + + # Fluxes + PHI_NEW = np.dot(expm(AV * dt), PHI_OLD) + PHI[k, :] = np.dot(np.linalg.inv(AV), (PHI_NEW - PHI_OLD) / dt) + PHI_OLD[:] = PHI_NEW[:] +phi = PHI[:, :G] + +# Density +n = np.zeros(K) +for k in range(K): + n[k] = np.sum(phi[k, :] / v) + +np.savez("reference.npz", t=t, phi=phi, n=n) diff --git a/test/verification/analytic/process.py b/test/verification/analytic/process.py new file mode 100644 index 00000000..6638d708 --- /dev/null +++ b/test/verification/analytic/process.py @@ -0,0 +1,12 @@ +import numpy as np +import os +from task import task + + +for name in task.keys(): + os.chdir(name) + N_min = task[name]["N_lim"][0] + N_max = task[name]["N_lim"][1] + N = task[name]["N"] + os.system("python process.py %i %i %i" % (N_min, N_max, N)) + os.chdir(r"..") diff --git a/test/verification/analytic/run.py b/test/verification/analytic/run.py new file mode 100644 index 00000000..17c67d0b --- /dev/null +++ b/test/verification/analytic/run.py @@ -0,0 +1,43 @@ +import numpy as np +import os, sys +from task import task + + +if len(sys.argv) > 1: + N_rank = int(sys.argv[1]) +else: + N_rank = 1 + + +# ============================================================================= +# Functions +# ============================================================================= + + +def run(N_hist, name): + """ + N_hist: number of histories + name: name for the job + """ + output = "output_%i" % N_hist + + os.system( + "srun -n %i python input.py --mode=numba --N_particle=%i --output=%s" + % (N_rank, N_hist, output) + ) + + +# ============================================================================= +# Select and run tests +# ============================================================================= + +for name in task.keys(): + os.chdir(name) + N_min = task[name]["N_lim"][0] + N_max = task[name]["N_lim"][1] + N = task[name]["N"] + for N_hist in np.logspace(N_min, N_max, N): + N_hist = int(N_hist) + print(name, N_hist) + run(N_hist, name) + os.chdir(r"..") diff --git a/test/verification/analytic/slab_absorbium/input.py b/test/verification/analytic/slab_absorbium/input.py new file mode 100644 index 00000000..ac2a74f8 --- /dev/null +++ b/test/verification/analytic/slab_absorbium/input.py @@ -0,0 +1,50 @@ +import numpy as np +import sys + +import mcdc + + +# ============================================================================= +# Set model +# ============================================================================= +# Three slab layers with different purely-absorbing materials + +# Set materials +m1 = mcdc.material(capture=np.array([1.0])) +m2 = mcdc.material(capture=np.array([1.5])) +m3 = mcdc.material(capture=np.array([2.0])) + +# Set surfaces +s1 = mcdc.surface("plane-z", z=0.0, bc="vacuum") +s2 = mcdc.surface("plane-z", z=2.0) +s3 = mcdc.surface("plane-z", z=4.0) +s4 = mcdc.surface("plane-z", z=6.0, bc="vacuum") + +# Set cells +mcdc.cell([+s1, -s2], m2) +mcdc.cell([+s2, -s3], m3) +mcdc.cell([+s3, -s4], m1) + +# ============================================================================= +# Set source +# ============================================================================= +# Uniform isotropic source throughout the domain + +mcdc.source(z=[0.0, 6.0], isotropic=True) + +# ============================================================================= +# Set tally, setting, and run mcdc +# ============================================================================= + +# Tally: cell-average and cell-edge angular fluxes and currents +mcdc.tally( + scores=["flux", "current"], + z=np.linspace(0.0, 6.0, 61), + mu=np.linspace(-1.0, 1.0, 32 + 1), +) + +# Setting +mcdc.setting(N_particle=1000) + +# Run +mcdc.run() diff --git a/test/verification/analytic/slab_absorbium/plot.py b/test/verification/analytic/slab_absorbium/plot.py new file mode 100644 index 00000000..3b034904 --- /dev/null +++ b/test/verification/analytic/slab_absorbium/plot.py @@ -0,0 +1,89 @@ +import matplotlib.pyplot as plt +import h5py +import numpy as np +import sys + +from reference import reference + + +# Reference solution +output = sys.argv[1] +with h5py.File(output, "r") as f: + z = f["tally/grid/z"][:] + mu = f["tally/grid/mu"][:] +phi_ref, J_ref, psi_ref = reference(z, mu) + +# Load results +with h5py.File(output, "r") as f: + z = f["tally/grid/z"][:] + dz = z[1:] - z[:-1] + z_mid = 0.5 * (z[:-1] + z[1:]) + mu = f["tally/grid/mu"][:] + dmu = mu[1:] - mu[:-1] + mu_mid = 0.5 * (mu[:-1] + mu[1:]) + I = len(z) - 1 + N = len(mu) - 1 + + psi = f["tally/flux/mean"][:] + psi_sd = f["tally/flux/sdev"][:] + J = f["tally/current/mean"][:, 2] + J_sd = f["tally/current/sdev"][:, 2] + +# Scalar flux +phi = np.zeros(I) +phi_sd = np.zeros(I) +for i in range(I): + phi[i] += np.sum(psi[i, :]) + phi_sd[i] += np.linalg.norm(psi_sd[i, :]) + +# Normalize +phi /= dz +phi_sd /= dz +J /= dz +J_sd /= dz +for n in range(N): + psi[:, n] = psi[:, n] / dz / dmu[n] + psi_sd[:, n] = psi_sd[:, n] / dz / dmu[n] + +# Flux - spatial average +plt.plot(z_mid, phi, "-b", label="MC") +plt.fill_between(z_mid, phi - phi_sd, phi + phi_sd, alpha=0.2, color="b") +plt.plot(z_mid, phi_ref, "--r", label="Ref.") +plt.xlabel(r"$z$, cm") +plt.ylabel("Flux") +plt.ylim([0.06, 0.16]) +plt.grid() +plt.legend() +plt.title(r"$\bar{\phi}_i$") +plt.show() + +# Current - spatial average +plt.plot(z_mid, J, "-b", label="MC") +plt.fill_between(z_mid, J - J_sd, J + J_sd, alpha=0.2, color="b") +plt.plot(z_mid, J_ref, "--r", label="Ref.") +plt.xlabel(r"$z$, cm") +plt.ylabel("Current") +plt.ylim([-0.03, 0.045]) +plt.grid() +plt.legend() +plt.title(r"$\bar{J}_i$") +plt.show() + +# Angular flux - spatial average +vmin = min(np.min(psi_ref), np.min(psi)) +vmax = max(np.max(psi_ref), np.max(psi)) +fig, ax = plt.subplots(1, 2, figsize=(4, 3), sharey=True) +Z, MU = np.meshgrid(z_mid, mu_mid) +im = ax[0].pcolormesh(MU.T, Z.T, psi_ref, vmin=vmin, vmax=vmax) +ax[0].set_xlabel(r"Polar cosine, $\mu_n$") +ax[0].set_ylabel(r"$z$") +ax[0].set_title(r"$\bar{\psi}_i(\mu_n)$ [Ref.]") +ax[1].pcolormesh(MU.T, Z.T, psi, vmin=vmin, vmax=vmax) +ax[1].set_xlabel(r"Polar cosine, $\mu_n$") +ax[1].set_ylabel(r"$z$") +ax[1].set_title(r"$\bar{\psi}_i(\mu_n)$ [MC]") +fig.subplots_adjust(right=0.8) +cbar_ax = fig.add_axes([0.85, 0.15, 0.05, 0.7]) +cbar = fig.colorbar(im, cax=cbar_ax) +cbar.set_label("Angular flux") +plt.show() diff --git a/test/verification/analytic/slab_absorbium/process.py b/test/verification/analytic/slab_absorbium/process.py new file mode 100644 index 00000000..60fbb167 --- /dev/null +++ b/test/verification/analytic/slab_absorbium/process.py @@ -0,0 +1,71 @@ +from reference import reference +import numpy as np +import h5py +import sys + +sys.path.append("../") +import tool + + +# Cases run +N_min = int(sys.argv[1]) +N_max = int(sys.argv[2]) +N_particle_list = np.logspace(N_min, N_max, (N_max - N_min) * 2 + 1) + +# Reference solution +with h5py.File("output_%i.h5" % int(N_particle_list[0]), "r") as f: + z = f["tally/grid/z"][:] + mu = f["tally/grid/mu"][:] +phi_ref, J_ref, psi_ref = reference(z, mu) + +# Error containers +error = np.zeros(len(N_particle_list)) +error_J = np.zeros(len(N_particle_list)) +error_psi = np.zeros(len(N_particle_list)) + +error_max = np.zeros(len(N_particle_list)) +error_max_J = np.zeros(len(N_particle_list)) +error_max_psi = np.zeros(len(N_particle_list)) + +# Calculate error +for k, N_particle in enumerate(N_particle_list): + # Get results + with h5py.File("output_%i.h5" % int(N_particle), "r") as f: + z = f["tally/grid/z"][:] + dz = z[1:] - z[:-1] + mu = f["tally/grid/mu"][:] + dmu = mu[1:] - mu[:-1] + I = len(z) - 1 + N = len(mu) - 1 + + psi = f["tally/flux/mean"][:] + J = f["tally/current/mean"][:, 2] + + # Scalar flux + phi = np.zeros(I) + for i in range(I): + phi[i] += np.sum(psi[i, :]) + + psi_norm = np.zeros(psi.shape) + # Normalize + phi /= dz + J /= dz + for n in range(N): + psi[:, n] = psi[:, n] / dz / dmu[n] + + # Get error + error[k] = tool.rerror(phi, phi_ref) + error_J[k] = tool.rerror(J, J_ref) + error_psi[k] = tool.rerror(psi, psi_ref) + + error_max[k] = tool.rerror_max(phi, phi_ref) + error_max_J[k] = tool.rerror_max(J, J_ref) + error_max_psi[k] = tool.rerror_max(psi, psi_ref) + + +# Plot +tool.plot_convergence("slab_absorbium_flux", N_particle_list, error, error_max) +tool.plot_convergence("slab_absorbium_current", N_particle_list, error_J, error_max_J) +tool.plot_convergence( + "slab_absorbium_angular_flux", N_particle_list, error_psi, error_max_psi +) diff --git a/test/verification/analytic/slab_absorbium/reference.py b/test/verification/analytic/slab_absorbium/reference.py new file mode 100644 index 00000000..64759c5e --- /dev/null +++ b/test/verification/analytic/slab_absorbium/reference.py @@ -0,0 +1,130 @@ +import numpy as np +from scipy.integrate import quad + + +def reference(x, mu): + dx = x[1:] - x[:-1] + dmu = mu[1:] - mu[:-1] + I = len(x) - 1 + N = len(mu) - 1 + + # Parameters + SigmaT3 = 1.0 + SigmaT1 = 1.5 + SigmaT2 = 2.0 + q1 = 1.0 / 6.0 / 2 + q2 = 1.0 / 6.0 / 2 + q3 = 1.0 / 6.0 / 2 + x1 = 2.0 + x2 = 4.0 + x3 = 6.0 + tau1 = SigmaT1 * x1 + tau2 = SigmaT2 * (x2 - x1) + tau3 = SigmaT3 * (x3 - x2) + + # Angular flux + def psi1(mu, x): + if mu > 0.0: + return q1 / SigmaT1 * (1.0 - np.exp(-SigmaT1 * x / mu)) + elif mu < 0.0: + return (psi2(mu, x1) - q1 / SigmaT1) * np.exp( + -SigmaT1 * (x1 - x) / np.abs(mu) + ) + q1 / SigmaT1 + + def psi2(mu, x): + if mu > 0.0: + return (psi1(mu, x1) - q2 / SigmaT2) * np.exp( + -SigmaT2 * (x - x1) / mu + ) + q2 / SigmaT2 + elif mu < 0.0: + return (psi3(mu, x2) - q2 / SigmaT2) * np.exp( + -SigmaT2 * (x2 - x) / np.abs(mu) + ) + q2 / SigmaT2 + + def psi3(mu, x): + if mu > 0.0: + return (psi2(mu, x2) - q3 / SigmaT3) * np.exp( + -SigmaT3 * (x - x2) / mu + ) + q3 / SigmaT3 + elif mu < 0.0: + return q3 / SigmaT3 * (1.0 - np.exp(-SigmaT3 * (x3 - x) / np.abs(mu))) + + # Flux + def phi1(x): + return quad(psi1, -1, 1, args=(x), points=[0.0])[0] + + def phi2(x): + return quad(psi2, -1, 1, args=(x), points=[0.0])[0] + + def phi3(x): + return quad(psi3, -1, 1, args=(x), points=[0.0])[0] + + # Integrands for current + def mu_psi1(mu, x): + if mu > 0.0: + return mu * psi1(mu, x) + elif mu < 0.0: + return mu * psi1(mu, x) + + def mu_psi2(mu, x): + if mu > 0.0: + return mu * psi2(mu, x) + elif mu < 0.0: + return mu * psi2(mu, x) + + def mu_psi3(mu, x): + if mu > 0.0: + return mu * psi3(mu, x) + elif mu < 0.0: + return mu * psi3(mu, x) + + # Current + def J1(x): + return quad(mu_psi1, -1, 1, args=(x), points=[0.0])[0] + + def J2(x): + return quad(mu_psi2, -1, 1, args=(x), points=[0.0])[0] + + def J3(x): + return quad(mu_psi3, -1, 1, args=(x), points=[0.0])[0] + + # Angular flux + def psi1_(x, mu0, mu1): + return quad(psi1, mu0, mu1, args=(x), points=[0.0])[0] + + def psi2_(x, mu0, mu1): + return quad(psi2, mu0, mu1, args=(x), points=[0.0])[0] + + def psi3_(x, mu0, mu1): + return quad(psi3, mu0, mu1, args=(x), points=[0.0])[0] + + phi = np.zeros(I) + psi = np.zeros((I, N)) + J = np.zeros(I) + + for i in range(int(I / 3)): + phi[i] = quad(phi1, x[i], x[i + 1])[0] / dx[i] + J[i] = quad(J1, x[i], x[i + 1])[0] / dx[i] + for n in range(N): + mu0 = mu[n] + mu1 = mu[n + 1] + psi[i, n] = quad(psi1_, x[i], x[i + 1], args=(mu0, mu1))[0] / dx[i] / dmu[n] + for i in range(int(I / 3), int(2 * I / 3)): + phi[i] = quad(phi2, x[i], x[i + 1])[0] / dx[i] + J[i] = quad(J2, x[i], x[i + 1])[0] / dx[i] + for n in range(N): + mu0 = mu[n] + mu1 = mu[n + 1] + psi[i, n] = quad(psi2_, x[i], x[i + 1], args=(mu0, mu1))[0] / dx[i] / dmu[n] + for i in range(int(2 * I / 3), I): + phi[i] = quad(phi3, x[i], x[i + 1])[0] / dx[i] + J[i] = quad(J3, x[i], x[i + 1])[0] / dx[i] + for n in range(N): + mu0 = mu[n] + mu1 = mu[n + 1] + psi[i, n] = quad(psi3_, x[i], x[i + 1], args=(mu0, mu1))[0] / dx[i] / dmu[n] + for n in range(N): + mu0 = mu[n] + mu1 = mu[n + 1] + + return phi, J, psi diff --git a/test/verification/analytic/slab_isobeam_td/input.py b/test/verification/analytic/slab_isobeam_td/input.py new file mode 100644 index 00000000..cbd3b552 --- /dev/null +++ b/test/verification/analytic/slab_isobeam_td/input.py @@ -0,0 +1,44 @@ +import numpy as np +import sys + +import mcdc + + +# ============================================================================= +# Set model +# ============================================================================= +# Finite homogeneous pure-absorbing slab + +# Set materials +m = mcdc.material(capture=np.array([1.0])) + +# Set surfaces +s1 = mcdc.surface("plane-x", x=0.0, bc="vacuum") +s2 = mcdc.surface("plane-x", x=5.0, bc="vacuum") + +# Set cells +mcdc.cell([+s1, -s2], m) + +# ============================================================================= +# Set source +# ============================================================================= +# Isotropic beam from left-end + +mcdc.source(point=[1e-10, 0.0, 0.0], time=[0.0, 5.0], white_direction=[1.0, 0.0, 0.0]) + +# ============================================================================= +# Set tally, setting, and run mcdc +# ============================================================================= + +# Tally +mcdc.tally( + scores=["flux"], + x=np.linspace(0.0, 5.0, 51), + t=np.linspace(0.0, 5.0, 51), +) + +# Setting +mcdc.setting(N_particle=1000) + +# Run +mcdc.run() diff --git a/test/verification/analytic/slab_isobeam_td/plot.py b/test/verification/analytic/slab_isobeam_td/plot.py new file mode 100644 index 00000000..5b6331e8 --- /dev/null +++ b/test/verification/analytic/slab_isobeam_td/plot.py @@ -0,0 +1,71 @@ +import numpy as np +import matplotlib.pyplot as plt +import matplotlib.animation as animation +import h5py +import sys + +from reference import reference + +output = sys.argv[1] + +# Reference solution +with h5py.File(output, "r") as f: + x = f["tally/grid/x"][:] + t = f["tally/grid/t"][:] +phi_ref = reference(x, t) + +# Get results +with h5py.File(output, "r") as f: + x = f["tally/grid/x"][:] + t = f["tally/grid/t"][:] + dx = x[1] - x[0] + x_mid = 0.5 * (x[:-1] + x[1:]) + dt = t[1:] - t[:-1] + K = len(dt) + J = len(x_mid) + + phi = f["tally/flux/mean"][:] + phi_sd = f["tally/flux/sdev"][:] + +# Normalize +for k in range(K): + phi[k] *= 0.5 / dx + phi_sd[k] *= 0.5 / dx +for j in range(J): + phi[:, j] /= dt + phi_sd[:, j] /= dt + +# Flux - t +fig = plt.figure() +ax = plt.axes(ylim=(5e-5, 4e-1)) +ax.grid() +ax.set_xlabel(r"$x$") +ax.set_ylabel(r"Flux") +ax.set_title(r"$\bar{\phi}_{j}(t)$") +ax.set_yscale("log") +(line1,) = ax.plot([], [], "-b", label="MC") +(line2,) = ax.plot([], [], "--r", label="Ref.") +fb = ax.fill_between([], [], [], [], alpha=0.2, color="b") +text = ax.text(0.02, 0.9, "", transform=ax.transAxes) +ax.legend() + + +def animate(k): + global fb + fb.remove() + line1.set_data(x_mid, phi[k, :]) + fb = ax.fill_between( + x_mid, + phi[k, :] - phi_sd[k, :], + phi[k, :] + phi_sd[k, :], + alpha=0.2, + color="b", + ) + line2.set_data(x_mid, phi_ref[k, :]) + text.set_text(r"$t \in [%.1f, %.1f]$ s" % (t[k], t[k + 1])) + return line1, line2, text + + +simulation = animation.FuncAnimation(fig, animate, frames=K) +writervideo = animation.FFMpegWriter(fps=6) +plt.show() diff --git a/test/verification/analytic/slab_isobeam_td/process.py b/test/verification/analytic/slab_isobeam_td/process.py new file mode 100644 index 00000000..9079af7d --- /dev/null +++ b/test/verification/analytic/slab_isobeam_td/process.py @@ -0,0 +1,50 @@ +from reference import reference +import numpy as np +import h5py +import sys + +sys.path.append("../") +import tool + + +# Cases run +N_min = int(sys.argv[1]) +N_max = int(sys.argv[2]) +N_particle_list = np.logspace(N_min, N_max, (N_max - N_min) * 2 + 1) + + +# Reference solution +with h5py.File("output_%i.h5" % int(N_particle_list[0]), "r") as f: + x = f["tally/grid/x"][:] + t = f["tally/grid/t"][:] +phi_ref = reference(x, t) + +# Error containers +error = np.zeros(len(N_particle_list)) +error_max = np.zeros(len(N_particle_list)) + +# Calculate error +for i, N_particle in enumerate(N_particle_list): + # Get results + with h5py.File("output_%i.h5" % int(N_particle), "r") as f: + x = f["tally/grid/x"][:] + t = f["tally/grid/t"][:] + K = len(t) - 1 + J = len(x) - 1 + dx = x[1:] - x[:-1] + dt = t[1:] - t[:-1] + + phi = f["tally/flux/mean"][:] + + # Normalize + for k in range(K): + phi[k] *= 0.5 / dx + for j in range(J): + phi[:, j] /= dt + + # Get error + error[i] = tool.error(phi, phi_ref) + error_max[i] = tool.error_max(phi, phi_ref) + +# Plot +tool.plot_convergence("slab_isoBeam_td_flux_t", N_particle_list, error, error_max) diff --git a/test/verification/analytic/slab_isobeam_td/reference.py b/test/verification/analytic/slab_isobeam_td/reference.py new file mode 100644 index 00000000..91d04049 --- /dev/null +++ b/test/verification/analytic/slab_isobeam_td/reference.py @@ -0,0 +1,49 @@ +import numpy as np +from scipy.integrate import quad +from scipy.special import exp1 + +# Parameters +SigmaT = 1.0 +v = 1.0 +T = 5.0 + +# Point-wise solution + + +def phi_(x, t): + if x > v * t: + return 0.0 + else: + return ( + 1.0 + / T + * ( + SigmaT * x * (exp1(SigmaT * v * t) - exp1(SigmaT * x)) + + np.e ** (-SigmaT * x) + - x / (v * t) * np.e ** (-SigmaT * v * t) + ) + ) + + +def phi_X(t, x1, x2): + return quad(phi_, x1, x2, args=(t))[0] / (x2 - x1) + + +def reference(x, t): + dx = x[1] - x[0] + x_mid = 0.5 * (x[:-1] + x[1:]) + dt = t[1:] - t[:-1] + K = len(dt) + J = len(x_mid) + + phi = np.zeros([K, J]) + for k in range(K): + for j in range(J): + x1 = x[j] + x2 = x[j + 1] + t1 = t[k] + t2 = t[k + 1] + phi[k, j] = quad(phi_X, t1, t2, args=(x1, x2))[0] / (t2 - t1) + # phi[k, j] = quad(phi_, x1, x2, args=(t[k + 1]))[0] / (x2 - x1) + + return phi diff --git a/test/verification/analytic/task.py b/test/verification/analytic/task.py new file mode 100644 index 00000000..dadfad60 --- /dev/null +++ b/test/verification/analytic/task.py @@ -0,0 +1,26 @@ +task = {} + +# AZURV1 +task["azurv1"] = {} +task["azurv1"]["N_lim"] = [3, 7] +task["azurv1"]["N"] = 9 + +# Infinite 361-group +task["inf_shem361"] = {} +task["inf_shem361"]["N_lim"] = [3, 7] +task["inf_shem361"]["N"] = 9 + +# Infinite 361-group td +task["inf_shem361_td"] = {} +task["inf_shem361_td"]["N_lim"] = [3, 7] +task["inf_shem361_td"]["N"] = 9 + +# Slab absorbium +task["slab_absorbium"] = {} +task["slab_absorbium"]["N_lim"] = [5, 9] +task["slab_absorbium"]["N"] = 9 + +# Slab isotropic beam +task["slab_isobeam_td"] = {} +task["slab_isobeam_td"]["N_lim"] = [3, 7] +task["slab_isobeam_td"]["N"] = 9 diff --git a/test/verification/analytic/tool.py b/test/verification/analytic/tool.py new file mode 100644 index 00000000..30bff79c --- /dev/null +++ b/test/verification/analytic/tool.py @@ -0,0 +1,45 @@ +import matplotlib.pyplot as plt +import numpy as np + + +def error(val, ref): + return np.sqrt(np.average((val - ref) ** 2) / np.sum(ref**2)) + + +def error_max(val, ref): + return np.max(val - ref) / np.max(ref) + + +def rerror(val, ref): + return np.sqrt(np.sum(((val - ref) / ref) ** 2)) / ref.size + + +def rerror_max(val, ref): + return np.max(np.abs((val - ref) / ref)) + + +def plot_convergence(name, N_particle, error, error_max): + mid = int(len(N_particle) / 2) + + plt.plot(N_particle, error, "bo", fillstyle="none", label="2-norm") + + plt.plot(N_particle, error_max, "gD", fillstyle="none", label="max") + + line = 1.0 / np.sqrt(N_particle) + line *= error[mid] / line[mid] + plt.plot(N_particle, line, "r--", label=r"$O(N^{-0.5})$") + + line = 1.0 / np.sqrt(N_particle) + line *= error_max[mid] / line[mid] + plt.plot(N_particle, line, "r--") + + plt.xscale("log") + plt.yscale("log") + plt.ylabel("Relative error") + plt.xlabel(r"# of histories, $N$") + plt.legend() + plt.grid() + plt.title(name) + plt.savefig("../results/" + name + ".png") + # plt.show() + plt.clf() diff --git a/test/verification/benchmark/c5g7-td/c5g7_xs.h5 b/test/verification/benchmark/c5g7-td/c5g7_xs.h5 new file mode 100644 index 0000000000000000000000000000000000000000..218b300f5f762dd74ccccea1acbc60fc80f4dac6 GIT binary patch literal 49104 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a+Up{BJH)du{++uWMyNBcaJS=k?f(J8mg=1V literal 0 HcmV?d00001 diff --git a/test/verification/benchmark/c5g7-td/input_ic.py b/test/verification/benchmark/c5g7-td/input_ic.py new file mode 100644 index 00000000..753141f7 --- /dev/null +++ b/test/verification/benchmark/c5g7-td/input_ic.py @@ -0,0 +1,296 @@ +import h5py, sys +import numpy as np + +import mcdc + + +# Get IC generator parameters +with h5py.File("output_k.h5", "r") as f: + neutron_density = f["global_tally/neutron/mean"][()] + max_neutron_density = f["global_tally/neutron/max"][()] + precursor_density = f["global_tally/precursor/mean"][()] + max_precursor_density = f["global_tally/precursor/max"][()] + keff = f["k_mean"][()] + +# ============================================================================= +# Materials +# ============================================================================= + +# Load material data +lib = h5py.File("c5g7_xs.h5", "r") + + +# Setter +def set_mat(mat): + return mcdc.material( + capture=mat["capture"][:], + scatter=mat["scatter"][:], + fission=mat["fission"][:], + nu_p=mat["nu_p"][:] / keff, + nu_d=mat["nu_d"][:] / keff, + chi_p=mat["chi_p"][:], + chi_d=mat["chi_d"][:], + speed=mat["speed"], + decay=mat["decay"], + ) + + +mat_uo2 = set_mat(lib["uo2"]) # Fuel: UO2 +mat_mox43 = set_mat(lib["mox43"]) # Fuel: MOX 4.3% +mat_mox7 = set_mat(lib["mox7"]) # Fuel: MOX 7.0% +mat_mox87 = set_mat(lib["mox87"]) # Fuel: MOX 8.7% +mat_gt = set_mat(lib["gt"]) # Guide tube +mat_fc = set_mat(lib["fc"]) # Fission chamber +mat_cr = set_mat(lib["cr"]) # Control rod +mat_mod = set_mat(lib["mod"]) # Moderator + +# ============================================================================= +# Pin cells +# ============================================================================= + +pitch = 1.26 +radius = 0.54 +core_height = 128.52 +refl_thick = 21.42 + +# Control rod banks fractions +# All out: 0.0 +# All in : 1.0 +cr1 = 0.0 +cr2 = 0.0 +cr3 = 0.0 +cr4 = 0.0 +# Control rod banks interfaces +cr1 = core_height * (0.5 - cr1) +cr2 = core_height * (0.5 - cr2) +cr3 = core_height * (0.5 - cr3) +cr4 = core_height * (0.5 - cr4) + +# Surfaces +cy = mcdc.surface("cylinder-z", center=[0.0, 0.0], radius=radius) +z1 = mcdc.surface("plane-z", z=cr1) # Control rod banks interfaces +z2 = mcdc.surface("plane-z", z=cr2) +z3 = mcdc.surface("plane-z", z=cr3) +z4 = mcdc.surface("plane-z", z=cr4) +zf = mcdc.surface("plane-z", z=core_height / 2) + +# Fission chamber +fc = mcdc.cell([-cy], mat_fc) +mod = mcdc.cell([+cy], mat_mod) +fission_chamber = mcdc.universe([fc, mod])["ID"] + +# Fuel rods +uo2 = mcdc.cell([-cy, -zf], mat_uo2) +mox4 = mcdc.cell([-cy, -zf], mat_mox43) +mox7 = mcdc.cell([-cy, -zf], mat_mox7) +mox8 = mcdc.cell([-cy, -zf], mat_mox87) +moda = mcdc.cell([-cy, +zf], mat_mod) # Water above pin +fuel_uo2 = mcdc.universe([uo2, mod, moda])["ID"] +fuel_mox43 = mcdc.universe([mox4, mod, moda])["ID"] +fuel_mox7 = mcdc.universe([mox7, mod, moda])["ID"] +fuel_mox87 = mcdc.universe([mox8, mod, moda])["ID"] + +# Control rods and guide tubes +cr1 = mcdc.cell([-cy, +z1], mat_cr) +cr2 = mcdc.cell([-cy, +z2], mat_cr) +cr3 = mcdc.cell([-cy, +z3], mat_cr) +cr4 = mcdc.cell([-cy, +z4], mat_cr) +gt1 = mcdc.cell([-cy, -z1], mat_gt) +gt2 = mcdc.cell([-cy, -z2], mat_gt) +gt3 = mcdc.cell([-cy, -z3], mat_gt) +gt4 = mcdc.cell([-cy, -z4], mat_gt) +control_rod1 = mcdc.universe([cr1, gt1, mod])["ID"] +control_rod2 = mcdc.universe([cr2, gt2, mod])["ID"] +control_rod3 = mcdc.universe([cr3, gt3, mod])["ID"] +control_rod4 = mcdc.universe([cr4, gt4, mod])["ID"] + +# ============================================================================= +# Fuel lattices +# ============================================================================= + +# UO2 lattice 1 +u = fuel_uo2 +c = control_rod1 +f = fission_chamber +lattice_1 = mcdc.lattice( + x=[-pitch * 17 / 2, pitch, 17], + y=[-pitch * 17 / 2, pitch, 17], + universes=[ + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], + [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, c, u, u, c, u, u, f, u, u, c, u, u, c, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], + [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + ], +) + +# MOX lattice 2 +l = fuel_mox43 +m = fuel_mox7 +n = fuel_mox87 +c = control_rod2 +f = fission_chamber +lattice_2 = mcdc.lattice( + x=[-pitch * 17 / 2, pitch, 17], + y=[-pitch * 17 / 2, pitch, 17], + universes=[ + [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], + [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], + [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], + [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], + [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], + [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], + [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], + [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], + [l, m, c, n, n, c, n, n, f, n, n, c, n, n, c, m, l], + [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], + [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], + [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], + [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], + [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], + [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], + [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], + [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], + ], +) + +# MOX lattice 3 +l = fuel_mox43 +m = fuel_mox7 +n = fuel_mox87 +c = control_rod3 +f = fission_chamber +lattice_3 = mcdc.lattice( + x=[-pitch * 17 / 2, pitch, 17], + y=[-pitch * 17 / 2, pitch, 17], + universes=[ + [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], + [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], + [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], + [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], + [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], + [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], + [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], + [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], + [l, m, c, n, n, c, n, n, f, n, n, c, n, n, c, m, l], + [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], + [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], + [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], + [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], + [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], + [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], + [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], + [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], + ], +) + +# UO2 lattice 4 +u = fuel_uo2 +c = control_rod4 +f = fission_chamber +lattice_4 = mcdc.lattice( + x=[-pitch * 17 / 2, pitch, 17], + y=[-pitch * 17 / 2, pitch, 17], + universes=[ + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], + [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, c, u, u, c, u, u, f, u, u, c, u, u, c, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], + [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + ], +) + +# ============================================================================= +# Assemblies and core +# ============================================================================= + +# Surfaces +x0 = mcdc.surface("plane-x", x=0.0, bc="reflective") +x1 = mcdc.surface("plane-x", x=pitch * 17) +x2 = mcdc.surface("plane-x", x=pitch * 17 * 2) +x3 = mcdc.surface("plane-x", x=pitch * 17 * 3, bc="vacuum") + +y0 = mcdc.surface("plane-y", y=-pitch * 17 * 3, bc="vacuum") +y1 = mcdc.surface("plane-y", y=-pitch * 17 * 2) +y2 = mcdc.surface("plane-y", y=-pitch * 17) +y3 = mcdc.surface("plane-y", y=0.0, bc="reflective") + +z0 = mcdc.surface("plane-z", z=-(core_height / 2 + refl_thick), bc="vacuum") +z1 = mcdc.surface("plane-z", z=-(core_height / 2)) +z2 = mcdc.surface("plane-z", z=(core_height / 2 + refl_thick), bc="vacuum") + +# Assembly cells +center = np.array([pitch * 17 / 2, -pitch * 17 / 2, 0.0]) +assembly_1 = mcdc.cell([+x0, -x1, +y2, -y3, +z1, -z2], lattice_1, lattice_center=center) + +center += np.array([pitch * 17, 0.0, 0.0]) +assembly_2 = mcdc.cell([+x1, -x2, +y2, -y3, +z1, -z2], lattice_2, lattice_center=center) + +center += np.array([-pitch * 17, -pitch * 17, 0.0]) +assembly_3 = mcdc.cell([+x0, -x1, +y1, -y2, +z1, -z2], lattice_3, lattice_center=center) + +center += np.array([pitch * 17, 0.0, 0.0]) +assembly_4 = mcdc.cell([+x1, -x2, +y1, -y2, +z1, -z2], lattice_4, lattice_center=center) + +# Bottom reflector cell +reflector_bottom = mcdc.cell([+x0, -x3, +y0, -y3, +z0, -z1], mat_mod) + +# Side reflectors +reflector_south = mcdc.cell([+x0, -x3, +y0, -y1, +z1, -z2], mat_mod) +reflector_east = mcdc.cell([+x2, -x3, +y1, -y3, +z1, -z2], mat_mod) + +# Root universe +mcdc.universe( + [ + assembly_1, + assembly_2, + assembly_3, + assembly_4, + reflector_bottom, + reflector_south, + reflector_east, + ], + root=True, +) + +# ============================================================================= +# Set problem and tally, and then run mcdc +# ============================================================================= + +# Setting +mcdc.setting(source_file="output_k.h5", output_name="output_ic") +mcdc.IC_generator( + N_neutron=1e6, + N_precursor=1e6, + neutron_density=neutron_density, + max_neutron_density=max_neutron_density, + precursor_density=precursor_density, + max_precursor_density=max_precursor_density, +) + +# Run +mcdc.run() diff --git a/test/verification/benchmark/c5g7-td/input_k.py b/test/verification/benchmark/c5g7-td/input_k.py new file mode 100644 index 00000000..e64a5528 --- /dev/null +++ b/test/verification/benchmark/c5g7-td/input_k.py @@ -0,0 +1,293 @@ +import h5py +import numpy as np + +import mcdc + +# ============================================================================= +# Materials +# ============================================================================= + +# Load material data +lib = h5py.File("c5g7_xs.h5", "r") + + +# Setter +def set_mat(mat): + return mcdc.material( + capture=mat["capture"][:], + scatter=mat["scatter"][:], + fission=mat["fission"][:], + nu_p=mat["nu_p"][:], + nu_d=mat["nu_d"][:], + chi_p=mat["chi_p"][:], + chi_d=mat["chi_d"][:], + speed=mat["speed"], + decay=mat["decay"], + ) + + +mat_uo2 = set_mat(lib["uo2"]) # Fuel: UO2 +mat_mox43 = set_mat(lib["mox43"]) # Fuel: MOX 4.3% +mat_mox7 = set_mat(lib["mox7"]) # Fuel: MOX 7.0% +mat_mox87 = set_mat(lib["mox87"]) # Fuel: MOX 8.7% +mat_gt = set_mat(lib["gt"]) # Guide tube +mat_fc = set_mat(lib["fc"]) # Fission chamber +mat_cr = set_mat(lib["cr"]) # Control rod +mat_mod = set_mat(lib["mod"]) # Moderator + +# ============================================================================= +# Pin cells +# ============================================================================= + +pitch = 1.26 +radius = 0.54 +core_height = 128.52 +refl_thick = 21.42 + +# Control rod banks fractions +# All out: 0.0 +# All in : 1.0 +cr1 = 0.0 +cr2 = 0.0 +cr3 = 0.0 +cr4 = 0.0 +# Control rod banks interfaces +cr1 = core_height * (0.5 - cr1) +cr2 = core_height * (0.5 - cr2) +cr3 = core_height * (0.5 - cr3) +cr4 = core_height * (0.5 - cr4) + +# Surfaces +cy = mcdc.surface("cylinder-z", center=[0.0, 0.0], radius=radius) +z1 = mcdc.surface("plane-z", z=cr1) # Control rod banks interfaces +z2 = mcdc.surface("plane-z", z=cr2) +z3 = mcdc.surface("plane-z", z=cr3) +z4 = mcdc.surface("plane-z", z=cr4) +zf = mcdc.surface("plane-z", z=core_height / 2) + +# Fission chamber +fc = mcdc.cell([-cy], mat_fc) +mod = mcdc.cell([+cy], mat_mod) +fission_chamber = mcdc.universe([fc, mod])["ID"] + +# Fuel rods +uo2 = mcdc.cell([-cy, -zf], mat_uo2) +mox4 = mcdc.cell([-cy, -zf], mat_mox43) +mox7 = mcdc.cell([-cy, -zf], mat_mox7) +mox8 = mcdc.cell([-cy, -zf], mat_mox87) +moda = mcdc.cell([-cy, +zf], mat_mod) # Water above pin +fuel_uo2 = mcdc.universe([uo2, mod, moda])["ID"] +fuel_mox43 = mcdc.universe([mox4, mod, moda])["ID"] +fuel_mox7 = mcdc.universe([mox7, mod, moda])["ID"] +fuel_mox87 = mcdc.universe([mox8, mod, moda])["ID"] + +# Control rods and guide tubes +cr1 = mcdc.cell([-cy, +z1], mat_cr) +cr2 = mcdc.cell([-cy, +z2], mat_cr) +cr3 = mcdc.cell([-cy, +z3], mat_cr) +cr4 = mcdc.cell([-cy, +z4], mat_cr) +gt1 = mcdc.cell([-cy, -z1], mat_gt) +gt2 = mcdc.cell([-cy, -z2], mat_gt) +gt3 = mcdc.cell([-cy, -z3], mat_gt) +gt4 = mcdc.cell([-cy, -z4], mat_gt) +control_rod1 = mcdc.universe([cr1, gt1, mod])["ID"] +control_rod2 = mcdc.universe([cr2, gt2, mod])["ID"] +control_rod3 = mcdc.universe([cr3, gt3, mod])["ID"] +control_rod4 = mcdc.universe([cr4, gt4, mod])["ID"] + +# ============================================================================= +# Fuel lattices +# ============================================================================= + +# UO2 lattice 1 +u = fuel_uo2 +c = control_rod1 +f = fission_chamber +lattice_1 = mcdc.lattice( + x=[-pitch * 17 / 2, pitch, 17], + y=[-pitch * 17 / 2, pitch, 17], + universes=[ + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], + [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, c, u, u, c, u, u, f, u, u, c, u, u, c, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], + [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + ], +) + +# MOX lattice 2 +l = fuel_mox43 +m = fuel_mox7 +n = fuel_mox87 +c = control_rod2 +f = fission_chamber +lattice_2 = mcdc.lattice( + x=[-pitch * 17 / 2, pitch, 17], + y=[-pitch * 17 / 2, pitch, 17], + universes=[ + [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], + [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], + [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], + [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], + [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], + [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], + [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], + [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], + [l, m, c, n, n, c, n, n, f, n, n, c, n, n, c, m, l], + [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], + [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], + [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], + [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], + [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], + [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], + [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], + [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], + ], +) + +# MOX lattice 3 +l = fuel_mox43 +m = fuel_mox7 +n = fuel_mox87 +c = control_rod3 +f = fission_chamber +lattice_3 = mcdc.lattice( + x=[-pitch * 17 / 2, pitch, 17], + y=[-pitch * 17 / 2, pitch, 17], + universes=[ + [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], + [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], + [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], + [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], + [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], + [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], + [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], + [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], + [l, m, c, n, n, c, n, n, f, n, n, c, n, n, c, m, l], + [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], + [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], + [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], + [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], + [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], + [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], + [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], + [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], + ], +) + +# UO2 lattice 4 +u = fuel_uo2 +c = control_rod4 +f = fission_chamber +lattice_4 = mcdc.lattice( + x=[-pitch * 17 / 2, pitch, 17], + y=[-pitch * 17 / 2, pitch, 17], + universes=[ + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], + [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, c, u, u, c, u, u, f, u, u, c, u, u, c, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], + [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + ], +) + +# ============================================================================= +# Assemblies and core +# ============================================================================= + +# Surfaces +x0 = mcdc.surface("plane-x", x=0.0, bc="reflective") +x1 = mcdc.surface("plane-x", x=pitch * 17) +x2 = mcdc.surface("plane-x", x=pitch * 17 * 2) +x3 = mcdc.surface("plane-x", x=pitch * 17 * 3, bc="vacuum") + +y0 = mcdc.surface("plane-y", y=-pitch * 17 * 3, bc="vacuum") +y1 = mcdc.surface("plane-y", y=-pitch * 17 * 2) +y2 = mcdc.surface("plane-y", y=-pitch * 17) +y3 = mcdc.surface("plane-y", y=0.0, bc="reflective") + +z0 = mcdc.surface("plane-z", z=-(core_height / 2 + refl_thick), bc="vacuum") +z1 = mcdc.surface("plane-z", z=-(core_height / 2)) +z2 = mcdc.surface("plane-z", z=(core_height / 2 + refl_thick), bc="vacuum") + +# Assembly cells +center = np.array([pitch * 17 / 2, -pitch * 17 / 2, 0.0]) +assembly_1 = mcdc.cell([+x0, -x1, +y2, -y3, +z1, -z2], lattice_1, lattice_center=center) + +center += np.array([pitch * 17, 0.0, 0.0]) +assembly_2 = mcdc.cell([+x1, -x2, +y2, -y3, +z1, -z2], lattice_2, lattice_center=center) + +center += np.array([-pitch * 17, -pitch * 17, 0.0]) +assembly_3 = mcdc.cell([+x0, -x1, +y1, -y2, +z1, -z2], lattice_3, lattice_center=center) + +center += np.array([pitch * 17, 0.0, 0.0]) +assembly_4 = mcdc.cell([+x1, -x2, +y1, -y2, +z1, -z2], lattice_4, lattice_center=center) + +# Bottom reflector cell +reflector_bottom = mcdc.cell([+x0, -x3, +y0, -y3, +z0, -z1], mat_mod) + +# Side reflectors +reflector_south = mcdc.cell([+x0, -x3, +y0, -y1, +z1, -z2], mat_mod) +reflector_east = mcdc.cell([+x2, -x3, +y1, -y3, +z1, -z2], mat_mod) + +# Root universe +mcdc.universe( + [ + assembly_1, + assembly_2, + assembly_3, + assembly_4, + reflector_bottom, + reflector_south, + reflector_east, + ], + root=True, +) + +# ============================================================================= +# Set source +# ============================================================================= +# Uniform in energy + +source = mcdc.source( + x=[0.0, pitch * 17 * 2], + y=[-pitch * 17 * 2, 0.0], + z=[-core_height / 2, core_height / 2], + energy=np.ones(7), +) + +# ============================================================================= +# Set tally and parameter, and then run mcdc +# ============================================================================= + +# Setting +mcdc.setting(N_particle=2e7, output_name="output_k") +mcdc.eigenmode(N_inactive=50, N_active=150, gyration_radius="all", save_particle=True) +mcdc.population_control() + +# Run +mcdc.run() diff --git a/test/verification/benchmark/c5g7-td/input_td.py b/test/verification/benchmark/c5g7-td/input_td.py new file mode 100644 index 00000000..4d2c0abe --- /dev/null +++ b/test/verification/benchmark/c5g7-td/input_td.py @@ -0,0 +1,299 @@ +import h5py, sys +import numpy as np + +import mcdc + + +# Get IC generator parameters +with h5py.File("output_k.h5", "r") as f: + keff = f["k_mean"][()] + +# ============================================================================= +# Materials +# ============================================================================= + +# Load material data +lib = h5py.File("c5g7_xs.h5", "r") + + +# Setter +def set_mat(mat): + return mcdc.material( + capture=mat["capture"][:], + scatter=mat["scatter"][:], + fission=mat["fission"][:], + nu_p=mat["nu_p"][:] / keff, + nu_d=mat["nu_d"][:] / keff, + chi_p=mat["chi_p"][:], + chi_d=mat["chi_d"][:], + speed=mat["speed"], + decay=mat["decay"], + ) + + +mat_uo2 = set_mat(lib["uo2"]) # Fuel: UO2 +mat_mox43 = set_mat(lib["mox43"]) # Fuel: MOX 4.3% +mat_mox7 = set_mat(lib["mox7"]) # Fuel: MOX 7.0% +mat_mox87 = set_mat(lib["mox87"]) # Fuel: MOX 8.7% +mat_gt = set_mat(lib["gt"]) # Guide tube +mat_fc = set_mat(lib["fc"]) # Fission chamber +mat_cr = set_mat(lib["cr"]) # Control rod +mat_mod = set_mat(lib["mod"]) # Moderator + +# ============================================================================= +# Pin cells +# ============================================================================= + +pitch = 1.26 +radius = 0.54 +core_height = 128.52 +refl_thick = 21.42 + +# Control rod banks fractions +# All out: 0.0 +# All in : 1.0 +cr1 = np.array([0.0]) +cr1_t = np.array([0.0]) + +cr2 = np.array([0.0]) +cr2_t = np.array([0.0]) + +cr3 = np.array([0.0, 0.0, 2.0 / 6.0, 0.0]) +cr3_t = np.array([0.0, 4.0, 6.0, 8.0]) + +cr4 = np.array([0.0, 2.0 / 6.0, 2.0 / 6.0, 0.0]) +cr4_t = np.array([0.0, 2.0, 4.0, 6.0]) + +# Control rod banks interfaces +cr1 = core_height * (0.5 - cr1) +cr2 = core_height * (0.5 - cr2) +cr3 = core_height * (0.5 - cr3) +cr4 = core_height * (0.5 - cr4) + +# Surfaces +cy = mcdc.surface("cylinder-z", center=[0.0, 0.0], radius=radius) +z1 = mcdc.surface("plane-z", z=cr1, t=cr1_t) # Control rod banks interfaces +z2 = mcdc.surface("plane-z", z=cr2, t=cr2_t) +z3 = mcdc.surface("plane-z", z=cr3, t=cr3_t) +z4 = mcdc.surface("plane-z", z=cr4, t=cr4_t) +zf = mcdc.surface("plane-z", z=core_height / 2) + +# Fission chamber +fc = mcdc.cell([-cy], mat_fc) +mod = mcdc.cell([+cy], mat_mod) +fission_chamber = mcdc.universe([fc, mod])["ID"] + +# Fuel rods +uo2 = mcdc.cell([-cy, -zf], mat_uo2) +mox4 = mcdc.cell([-cy, -zf], mat_mox43) +mox7 = mcdc.cell([-cy, -zf], mat_mox7) +mox8 = mcdc.cell([-cy, -zf], mat_mox87) +moda = mcdc.cell([-cy, +zf], mat_mod) # Water above pin +fuel_uo2 = mcdc.universe([uo2, mod, moda])["ID"] +fuel_mox43 = mcdc.universe([mox4, mod, moda])["ID"] +fuel_mox7 = mcdc.universe([mox7, mod, moda])["ID"] +fuel_mox87 = mcdc.universe([mox8, mod, moda])["ID"] + +# Control rods and guide tubes +cr1 = mcdc.cell([-cy, +z1], mat_cr) +cr2 = mcdc.cell([-cy, +z2], mat_cr) +cr3 = mcdc.cell([-cy, +z3], mat_cr) +cr4 = mcdc.cell([-cy, +z4], mat_cr) +gt1 = mcdc.cell([-cy, -z1], mat_gt) +gt2 = mcdc.cell([-cy, -z2], mat_gt) +gt3 = mcdc.cell([-cy, -z3], mat_gt) +gt4 = mcdc.cell([-cy, -z4], mat_gt) +control_rod1 = mcdc.universe([cr1, gt1, mod])["ID"] +control_rod2 = mcdc.universe([cr2, gt2, mod])["ID"] +control_rod3 = mcdc.universe([cr3, gt3, mod])["ID"] +control_rod4 = mcdc.universe([cr4, gt4, mod])["ID"] + +# ============================================================================= +# Fuel lattices +# ============================================================================= + +# UO2 lattice 1 +u = fuel_uo2 +c = control_rod1 +f = fission_chamber +lattice_1 = mcdc.lattice( + x=[-pitch * 17 / 2, pitch, 17], + y=[-pitch * 17 / 2, pitch, 17], + universes=[ + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], + [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, c, u, u, c, u, u, f, u, u, c, u, u, c, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], + [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + ], +) + +# MOX lattice 2 +l = fuel_mox43 +m = fuel_mox7 +n = fuel_mox87 +c = control_rod2 +f = fission_chamber +lattice_2 = mcdc.lattice( + x=[-pitch * 17 / 2, pitch, 17], + y=[-pitch * 17 / 2, pitch, 17], + universes=[ + [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], + [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], + [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], + [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], + [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], + [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], + [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], + [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], + [l, m, c, n, n, c, n, n, f, n, n, c, n, n, c, m, l], + [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], + [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], + [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], + [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], + [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], + [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], + [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], + [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], + ], +) + +# MOX lattice 3 +l = fuel_mox43 +m = fuel_mox7 +n = fuel_mox87 +c = control_rod3 +f = fission_chamber +lattice_3 = mcdc.lattice( + x=[-pitch * 17 / 2, pitch, 17], + y=[-pitch * 17 / 2, pitch, 17], + universes=[ + [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], + [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], + [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], + [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], + [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], + [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], + [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], + [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], + [l, m, c, n, n, c, n, n, f, n, n, c, n, n, c, m, l], + [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], + [l, m, m, n, n, n, n, n, n, n, n, n, n, n, m, m, l], + [l, m, c, n, n, c, n, n, c, n, n, c, n, n, c, m, l], + [l, m, m, m, n, n, n, n, n, n, n, n, n, m, m, m, l], + [l, m, m, c, m, n, n, n, n, n, n, n, m, c, m, m, l], + [l, m, m, m, m, c, m, m, c, m, m, c, m, m, m, m, l], + [l, m, m, m, m, m, m, m, m, m, m, m, m, m, m, m, l], + [l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l, l], + ], +) + +# UO2 lattice 4 +u = fuel_uo2 +c = control_rod4 +f = fission_chamber +lattice_4 = mcdc.lattice( + x=[-pitch * 17 / 2, pitch, 17], + y=[-pitch * 17 / 2, pitch, 17], + universes=[ + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], + [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, c, u, u, c, u, u, f, u, u, c, u, u, c, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, c, u, u, c, u, u, c, u, u, c, u, u, c, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, c, u, u, u, u, u, u, u, u, u, c, u, u, u], + [u, u, u, u, u, c, u, u, c, u, u, c, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + [u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u, u], + ], +) + +# ============================================================================= +# Assemblies and core +# ============================================================================= + +# Surfaces +x0 = mcdc.surface("plane-x", x=0.0, bc="reflective") +x1 = mcdc.surface("plane-x", x=pitch * 17) +x2 = mcdc.surface("plane-x", x=pitch * 17 * 2) +x3 = mcdc.surface("plane-x", x=pitch * 17 * 3, bc="vacuum") + +y0 = mcdc.surface("plane-y", y=-pitch * 17 * 3, bc="vacuum") +y1 = mcdc.surface("plane-y", y=-pitch * 17 * 2) +y2 = mcdc.surface("plane-y", y=-pitch * 17) +y3 = mcdc.surface("plane-y", y=0.0, bc="reflective") + +z0 = mcdc.surface("plane-z", z=-(core_height / 2 + refl_thick), bc="vacuum") +z1 = mcdc.surface("plane-z", z=-(core_height / 2)) +z2 = mcdc.surface("plane-z", z=(core_height / 2 + refl_thick), bc="vacuum") + +# Assembly cells +center = np.array([pitch * 17 / 2, -pitch * 17 / 2, 0.0]) +assembly_1 = mcdc.cell([+x0, -x1, +y2, -y3, +z1, -z2], lattice_1, lattice_center=center) + +center += np.array([pitch * 17, 0.0, 0.0]) +assembly_2 = mcdc.cell([+x1, -x2, +y2, -y3, +z1, -z2], lattice_2, lattice_center=center) + +center += np.array([-pitch * 17, -pitch * 17, 0.0]) +assembly_3 = mcdc.cell([+x0, -x1, +y1, -y2, +z1, -z2], lattice_3, lattice_center=center) + +center += np.array([pitch * 17, 0.0, 0.0]) +assembly_4 = mcdc.cell([+x1, -x2, +y1, -y2, +z1, -z2], lattice_4, lattice_center=center) + +# Bottom reflector cell +reflector_bottom = mcdc.cell([+x0, -x3, +y0, -y3, +z0, -z1], mat_mod) + +# Side reflectors +reflector_south = mcdc.cell([+x0, -x3, +y0, -y1, +z1, -z2], mat_mod) +reflector_east = mcdc.cell([+x2, -x3, +y1, -y3, +z1, -z2], mat_mod) + +# Root universe +mcdc.universe( + [ + assembly_1, + assembly_2, + assembly_3, + assembly_4, + reflector_bottom, + reflector_south, + reflector_east, + ], + root=True, +) + +# ============================================================================= +# Set problem and tally, and then run mcdc +# ============================================================================= + +# Tally +mcdc.tally(["fission"], t=np.linspace(0, 8.0, 81)) + +# Setting +mcdc.setting( + IC_file="output_ic.h5", + output_name="output_td", + active_bank_buff=10000, +) + +# Run +mcdc.run() diff --git a/test/verification/benchmark/c5g7-td/mpact_TD4-4.txt b/test/verification/benchmark/c5g7-td/mpact_TD4-4.txt new file mode 100644 index 00000000..a2396c80 --- /dev/null +++ b/test/verification/benchmark/c5g7-td/mpact_TD4-4.txt @@ -0,0 +1,229 @@ +0.000 1.0000E+00 +0.025 9.9302E-01 +0.050 9.8534E-01 +0.075 9.7772E-01 +0.100 9.7013E-01 +0.125 9.6262E-01 +0.150 9.5497E-01 +0.175 9.4746E-01 +0.200 9.4002E-01 +0.225 9.3258E-01 +0.250 9.2522E-01 +0.275 9.1269E-01 +0.300 9.0007E-01 +0.325 8.8780E-01 +0.350 8.7578E-01 +0.375 8.6405E-01 +0.400 8.5230E-01 +0.425 8.4088E-01 +0.450 8.2971E-01 +0.475 8.1868E-01 +0.500 8.0786E-01 +0.525 7.9278E-01 +0.550 7.7794E-01 +0.575 7.6368E-01 +0.600 7.4989E-01 +0.625 7.3657E-01 +0.650 7.2337E-01 +0.675 7.1071E-01 +0.700 6.9843E-01 +0.725 6.8641E-01 +0.750 6.7471E-01 +0.775 6.6006E-01 +0.800 6.4583E-01 +0.825 6.3224E-01 +0.850 6.1915E-01 +0.875 6.0658E-01 +0.900 5.9420E-01 +0.925 5.8237E-01 +0.950 5.7095E-01 +0.975 5.5982E-01 +1.000 5.4905E-01 +1.025 5.3625E-01 +1.050 5.2391E-01 +1.075 5.1214E-01 +1.100 5.0083E-01 +1.125 4.8999E-01 +1.150 4.7932E-01 +1.175 4.6915E-01 +1.200 4.5935E-01 +1.225 4.4981E-01 +1.250 4.4059E-01 +1.275 4.3000E-01 +1.300 4.1980E-01 +1.325 4.1008E-01 +1.350 4.0074E-01 +1.375 3.9178E-01 +1.400 3.8297E-01 +1.425 3.7457E-01 +1.450 3.6647E-01 +1.475 3.5859E-01 +1.500 3.5098E-01 +1.525 3.4243E-01 +1.550 3.3422E-01 +1.575 3.2637E-01 +1.600 3.1882E-01 +1.625 3.1158E-01 +1.650 3.0445E-01 +1.675 2.9765E-01 +1.700 2.9109E-01 +1.725 2.8470E-01 +1.750 2.7852E-01 +1.775 2.7171E-01 +1.800 2.6517E-01 +1.825 2.5891E-01 +1.850 2.5288E-01 +1.875 2.4709E-01 +1.900 2.4138E-01 +1.925 2.3593E-01 +1.950 2.3066E-01 +1.975 2.2553E-01 +2.000 2.2055E-01 +2.025 2.2329E-01 +2.050 2.2644E-01 +2.075 2.2968E-01 +2.100 2.3303E-01 +2.125 2.3658E-01 +2.150 2.4017E-01 +2.175 2.4392E-01 +2.200 2.4784E-01 +2.225 2.5197E-01 +2.250 2.5629E-01 +2.275 2.5996E-01 +2.300 2.6377E-01 +2.325 2.6769E-01 +2.350 2.7175E-01 +2.375 2.7605E-01 +2.400 2.8040E-01 +2.425 2.8494E-01 +2.450 2.8968E-01 +2.475 2.9468E-01 +2.500 2.9991E-01 +2.525 3.0422E-01 +2.550 3.0871E-01 +2.575 3.1330E-01 +2.600 3.1806E-01 +2.625 3.2308E-01 +2.650 3.2814E-01 +2.675 3.3342E-01 +2.700 3.3892E-01 +2.725 3.4468E-01 +2.750 3.5071E-01 +2.775 3.5544E-01 +2.800 3.6030E-01 +2.825 3.6525E-01 +2.850 3.7033E-01 +2.875 3.7565E-01 +2.900 3.8095E-01 +2.925 3.8642E-01 +2.950 3.9205E-01 +2.975 3.9789E-01 +3.000 4.0390E-01 +3.025 4.0814E-01 +3.050 4.1241E-01 +3.075 4.1668E-01 +3.100 4.2095E-01 +3.125 4.2535E-01 +3.150 4.2957E-01 +3.175 4.3383E-01 +3.200 4.3809E-01 +3.225 4.4236E-01 +3.250 4.4663E-01 +3.275 4.4903E-01 +3.300 4.5136E-01 +3.325 4.5357E-01 +3.350 4.5568E-01 +3.375 4.5775E-01 +3.400 4.5951E-01 +3.425 4.6118E-01 +3.450 4.6271E-01 +3.475 4.6407E-01 +3.500 4.6528E-01 +3.525 4.6505E-01 +3.550 4.6471E-01 +3.575 4.6420E-01 +3.600 4.6351E-01 +3.625 4.6271E-01 +3.650 4.6156E-01 +3.675 4.6027E-01 +3.700 4.5878E-01 +3.725 4.5706E-01 +3.750 4.5513E-01 +3.775 4.5251E-01 +3.800 4.4981E-01 +3.825 4.4698E-01 +3.850 4.4400E-01 +3.875 4.4090E-01 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6.2249E-01 +8.000 6.6317E-01 +8.500 6.7649E-01 +9.000 6.8715E-01 +9.500 6.9623E-01 +10.000 7.0420E-01 +10.500 7.1134E-01 +11.000 7.1780E-01 +11.500 7.2370E-01 +12.000 7.2913E-01 +12.500 7.3415E-01 +13.000 7.3880E-01 +13.500 7.4313E-01 +14.000 7.4717E-01 +14.500 7.5095E-01 +15.000 7.5450E-01 +15.500 7.5783E-01 +16.000 7.6096E-01 \ No newline at end of file diff --git a/test/verification/benchmark/c5g7-td/process_td.py b/test/verification/benchmark/c5g7-td/process_td.py new file mode 100644 index 00000000..2cc70fb2 --- /dev/null +++ b/test/verification/benchmark/c5g7-td/process_td.py @@ -0,0 +1,40 @@ +import numpy as np +import matplotlib.pyplot as plt +import h5py, sys +from matplotlib import cm +from matplotlib import colors + + +# ============================================================================= +# Plot results +# ============================================================================= + +# MPACT solution +data = np.loadtxt("mpact_TD4-4.txt") +t_ref = data[:, 0] +phi_ref = data[:, 1] + +# Grids +with h5py.File("output_td.h5", "r") as f: + t = f["tally/grid/t"][:] + +# Solution +with h5py.File("output_ic.h5", "r") as f: + norm = f["IC/fission"][()] +with h5py.File("output_td.h5", "r") as f: + phi = f["tally/fission/mean"][:] + phi = phi / norm + +plt.figure(figsize=(4, 3)) +# plt.plot(t_ref, phi_ref,'r-', label='MPACT') + +x = 0.5 * (t[1:] + t[:-1]) +y = phi +plt.plot(x, y, "bo", fillstyle="none", label="MC/DC") +plt.xlim([0, 8]) +plt.xlabel("Time [s]") +plt.ylabel("Normalized fission rate") +plt.grid() +plt.legend() +plt.savefig("C5G7-TD4-4.png", dpi=1200, bbox_inches="tight", pad_inches=0) +plt.show() diff --git a/test/verification/benchmark/reed/input.py b/test/verification/benchmark/reed/input.py new file mode 100644 index 00000000..176779c5 --- /dev/null +++ b/test/verification/benchmark/reed/input.py @@ -0,0 +1,53 @@ +import numpy as np +import sys + +import mcdc + + +# ============================================================================= +# Set model +# ============================================================================= +# Three slab layers with different materials +# Based on William H. Reed, NSE (1971), 46:2, 309-314, DOI: 10.13182/NSE46-309 + +# Set materials +m1 = mcdc.material(capture=np.array([50.0])) +m2 = mcdc.material(capture=np.array([5.0])) +m3 = mcdc.material(capture=np.array([0.0])) # Vacuum +m4 = mcdc.material(capture=np.array([0.1]), scatter=np.array([[0.9]])) + +# Set surfaces +s1 = mcdc.surface("plane-x", x=0.0, bc="reflective") +s2 = mcdc.surface("plane-x", x=2.0) +s3 = mcdc.surface("plane-x", x=3.0) +s4 = mcdc.surface("plane-x", x=5.0) +s5 = mcdc.surface("plane-x", x=8.0, bc="vacuum") + +# Set cells +mcdc.cell([+s1, -s2], m1) +mcdc.cell([+s2, -s3], m2) +mcdc.cell([+s3, -s4], m3) +mcdc.cell([+s4, -s5], m4) + +# ============================================================================= +# Set source +# ============================================================================= + +# Isotropic source in the absorbing medium +mcdc.source(x=[0.0, 2.0], isotropic=True, prob=100.0) + +# Isotropic source in the first half of the outermost medium, +# with 1/100 strength +mcdc.source(x=[5.0, 6.0], isotropic=True, prob=1.0) + +# ============================================================================= +# Set tally, setting, and run mcdc +# ============================================================================= + +mcdc.tally(scores=["flux"], x=np.linspace(0.0, 8.0, 41)) + +# Setting +mcdc.setting(N_particle=1000) + +# Run +mcdc.run() diff --git a/test/verification/benchmark/reed/plot.py b/test/verification/benchmark/reed/plot.py new file mode 100644 index 00000000..87c7ab65 --- /dev/null +++ b/test/verification/benchmark/reed/plot.py @@ -0,0 +1,29 @@ +import matplotlib.pyplot as plt +import h5py +import sys + +from reference import reference + + +# Load results +output = sys.argv[1] +with h5py.File(output, "r") as f: + x = f["tally/grid/x"][:] + dx = x[1:] - x[:-1] + x_mid = 0.5 * (x[:-1] + x[1:]) + phi = f["tally/flux/mean"][:] / dx * 101.0 + phi_sd = f["tally/flux/sdev"][:] / dx * 101.0 + +# Reference solution +phi_ref = reference(x) + +# Flux - spatial average +plt.plot(x_mid, phi, "-b", label="MC") +plt.fill_between(x_mid, phi - phi_sd, phi + phi_sd, alpha=0.2, color="b") +plt.plot(x_mid, phi_ref, "--r", label="Ref.") +plt.xlabel(r"$x$, cm") +plt.ylabel("Flux") +plt.grid() +plt.legend() +plt.title(r"$\bar{\phi}_i$") +plt.show() diff --git a/test/verification/benchmark/reed/process.py b/test/verification/benchmark/reed/process.py new file mode 100644 index 00000000..2cac9a1e --- /dev/null +++ b/test/verification/benchmark/reed/process.py @@ -0,0 +1,36 @@ +from reference import reference +import numpy as np +import h5py +import sys + +sys.path.append("../../") +import tool + + +# Cases run +N_min = int(sys.argv[1]) +N_max = int(sys.argv[2]) +N_particle_list = np.logspace(N_min, N_max, (N_max - N_min) * 2 + 1) + +# Reference solution +with h5py.File("output_%i.h5" % int(N_particle_list[0]), "r") as f: + x = f["tally/grid/x"][:] + dx = x[1:] - x[:-1] +phi_ref = reference(x) + +# Error containers +error = np.zeros(len(N_particle_list)) + +error_max = np.zeros(len(N_particle_list)) + +# Calculate error +for k, N_particle in enumerate(N_particle_list): + # Get results + with h5py.File("output_%i.h5" % int(N_particle), "r") as f: + phi = f["tally/flux/mean"][:] / dx * 101.0 + + # Get error + error[k] = tool.error(phi, phi_ref) + error_max[k] = tool.error_max(phi, phi_ref) + +tool.plot_convergence("reed_flux", N_particle_list, error, error_max) diff --git a/test/verification/benchmark/reed/reference.py b/test/verification/benchmark/reed/reference.py new file mode 100644 index 00000000..8ddee379 --- /dev/null +++ b/test/verification/benchmark/reed/reference.py @@ -0,0 +1,78 @@ +import numpy as np +from scipy.integrate import quad + + +def phi1(x): + return ( + 1.0 + - 5.96168047527760 * 10 ** (-47) * np.cosh(52.06761235859028 * x) + - 6.78355315350872 * 10 ** (-56) * np.cosh(62.76152118553390 * x) + - 7.20274049646598 * 10 ** (-84) * np.cosh(95.14161078659372 * x) + - 6.34541150517664 * 10 ** (-238) * np.cosh(272.5766481169758 * x) + ) + + +def phi2(x): + return ( + 1.685808767651539 * 10**3 * np.exp(-5.206761235859028 * x) + + 3.143867366942945 * 10**4 * np.exp(-6.276152118553390 * x) + + 2.879977113018352 * 10**7 * np.exp(-9.514161078659372 * x) + + 8.594190506002560 * 10**22 * np.exp(-27.25766481169758 * x) + + 1.298426035202193 * 10 ** (-36) * np.exp(27.25766481169758 * x) + + 1.432344656303454 * 10 ** (-13) * np.exp(9.514161078659372 * x) + + 1.514562265056083 * 10 ** (-9) * np.exp(6.276152118553390 * x) + + 1.594431209450755 * 10 ** (-8) * np.exp(5.206761235859028 * x) + ) + + +def phi3(x): + return 1.105109108062394 + + +def phi4(x): + return ( + 10.0 + - 0.1983746883968300 * np.exp(0.5254295183311557 * x) + - 7.824765332896027 * 10 ** (-5) * np.exp(1.108937229227813 * x) + - 9.746660212187006 * 10 ** (-6) * np.exp(1.615640334315550 * x) + - 2.895098351422132 * 10 ** (-13) * np.exp(4.554850586269065 * x) + - 75.34793864805979 * np.exp(-0.5254295183311557 * x) + - 20.42874998426011 * np.exp(-1.108937229227813 * x) + - 7.129175418204712 * 10 ** (2) * np.exp(-1.615640334315550 * x) + - 2.716409367577795 * 10 ** (9) * np.exp(-4.554850586269065 * x) + ) + + +def phi5(x): + return ( + 31.53212162577067 * np.exp(-0.5254295183311557 * x) + + 26.25911060454856 * np.exp(-1.108937229227813 * x) + + 1.841223066417334 * 10 ** (3) * np.exp(-1.615640334315550 * x) + + 1.555593549394869 * 10 ** (11) * np.exp(-4.554850586269065 * x) + - 3.119310353653182 * 10 ** (-3) * np.exp(0.5254295183311557 * x) + - 6.336401143340483 * 10 ** (-7) * np.exp(1.108937229227813 * x) + - 3.528757679361232 * 10 ** (-8) * np.exp(1.615640334315550 * x) + - 4.405514335746888 * 10 ** (-18) * np.exp(4.554850586269065 * x) + ) + + +def f_phi(x1, x2): + dx = x2 - x1 + if x2 <= 2.0: + return quad(phi1, x1, x2)[0] / dx + if x2 <= 3.0: + return quad(phi2, x1, x2)[0] / dx + if x2 <= 5.0: + return quad(phi3, x1, x2)[0] / dx + if x2 <= 6.0: + return quad(phi4, x1, x2)[0] / dx + return quad(phi5, x1, x2)[0] / dx + + +def reference(x): + phi = np.zeros(len(x) - 1) + + for i in range(len(phi)): + phi[i] = f_phi(x[i], x[i + 1]) + + return phi From fe4beee2cf598acc94a1eba452938cf75da5916d Mon Sep 17 00:00:00 2001 From: ilhamv Date: Tue, 6 Feb 2024 09:10:12 -0800 Subject: [PATCH 04/31] add parser to verification test --- .github/workflows/mpi_numba_reg.yml | 2 +- .github/workflows/mpi_numba_regII.yml | 2 +- .github/workflows/mpi_reg.yml | 1 - mcdc/kernel.py | 34 +++++++++++++-------------- test/verification/analytic/run.py | 33 ++++++++++++++++++-------- 5 files changed, 42 insertions(+), 30 deletions(-) diff --git a/.github/workflows/mpi_numba_reg.yml b/.github/workflows/mpi_numba_reg.yml index 6c8c9395..384fd150 100644 --- a/.github/workflows/mpi_numba_reg.yml +++ b/.github/workflows/mpi_numba_reg.yml @@ -32,4 +32,4 @@ jobs: - name: Regression Test - Numba and MPI run: | cd test/regression - python run.py --mode=numba --mpiexec=2 \ No newline at end of file + python run.py --mode=numba --mpiexec=4 diff --git a/.github/workflows/mpi_numba_regII.yml b/.github/workflows/mpi_numba_regII.yml index 0174ee85..020de381 100644 --- a/.github/workflows/mpi_numba_regII.yml +++ b/.github/workflows/mpi_numba_regII.yml @@ -32,4 +32,4 @@ jobs: - name: Regression Test - Numba and MPI run: | cd test/regression - python run.py --mode=numba --mpiexec=2 \ No newline at end of file + python run.py --mode=numba --mpiexec=4 diff --git a/.github/workflows/mpi_reg.yml b/.github/workflows/mpi_reg.yml index c2ed8820..792f40e1 100644 --- a/.github/workflows/mpi_reg.yml +++ b/.github/workflows/mpi_reg.yml @@ -33,4 +33,3 @@ jobs: run: | cd test/regression python run.py --mpiexec=4 - python run.py --mpiexec=2 \ No newline at end of file diff --git a/mcdc/kernel.py b/mcdc/kernel.py index e06489aa..074dfc5e 100644 --- a/mcdc/kernel.py +++ b/mcdc/kernel.py @@ -2021,14 +2021,14 @@ def scattering(P, mcdc): sample_phasespace_scattering(P, material, P_new, mcdc) # Bank, but keep it if it is the last particle - if n == N-1: - P['alive'] = True - P['ux'] = P_new['ux'] - P['uy'] = P_new['uy'] - P['uz'] = P_new['uz'] - P['g'] = P_new['g'] - P['E'] = P_new['E'] - P['w'] = P_new['w'] + if n == N - 1: + P["alive"] = True + P["ux"] = P_new["ux"] + P["uy"] = P_new["uy"] + P["uz"] = P_new["uz"] + P["g"] = P_new["g"] + P["E"] = P_new["E"] + P["w"] = P_new["w"] else: add_particle(P_new, mcdc["bank_active"]) @@ -2299,15 +2299,15 @@ def fission(P, mcdc): add_particle(P_new, mcdc["bank_census"]) else: # Keep it if it is the last particle - if n == N-1: - P['alive'] = True - P['ux'] = P_new['ux'] - P['uy'] = P_new['uy'] - P['uz'] = P_new['uz'] - P['t'] = P_new['t'] - P['g'] = P_new['g'] - P['E'] = P_new['E'] - P['w'] = P_new['w'] + if n == N - 1: + P["alive"] = True + P["ux"] = P_new["ux"] + P["uy"] = P_new["uy"] + P["uz"] = P_new["uz"] + P["t"] = P_new["t"] + P["g"] = P_new["g"] + P["E"] = P_new["E"] + P["w"] = P_new["w"] else: add_particle(P_new, mcdc["bank_active"]) diff --git a/test/verification/analytic/run.py b/test/verification/analytic/run.py index 17c67d0b..f69d72d0 100644 --- a/test/verification/analytic/run.py +++ b/test/verification/analytic/run.py @@ -1,12 +1,14 @@ import numpy as np -import os, sys +import os, sys, argparse from task import task - -if len(sys.argv) > 1: - N_rank = int(sys.argv[1]) -else: - N_rank = 1 +# Option parser +parser = argparse.ArgumentParser(description="MC/DC verification test") +parser.add_argument("--mpiexec", type=int, default=0) +parser.add_argument("--srun", type=int, default=0) +args, unargs = parser.parse_known_args() +mpiexec = args.mpiexec +srun = args.srun # ============================================================================= @@ -21,10 +23,21 @@ def run(N_hist, name): """ output = "output_%i" % N_hist - os.system( - "srun -n %i python input.py --mode=numba --N_particle=%i --output=%s" - % (N_rank, N_hist, output) - ) + if srun > 1: + os.system( + "srun -n %i python input.py --mode=numba --N_particle=%i --output=%s" + % (srun, N_hist, output) + ) + elif mpiexec > 1: + os.system( + "mpiexec -n %i python input.py --mode=numba --N_particle=%i --output=%s" + % (mpiexec, N_hist, output) + ) + else: + os.system( + "python input.py --mode=numba --N_particle=%i --output=%s" + % (N_hist, output) + ) # ============================================================================= From 9cb200f08cb0f2d57b1db9721286e5191448e94b Mon Sep 17 00:00:00 2001 From: ilhamv Date: Tue, 6 Feb 2024 11:08:46 -0800 Subject: [PATCH 05/31] remove redundant mpi regression tests --- .github/workflows/mpi_numba_reg.yml | 2 +- .github/workflows/mpi_numba_regII.yml | 35 --------------------------- 2 files changed, 1 insertion(+), 36 deletions(-) delete mode 100644 .github/workflows/mpi_numba_regII.yml diff --git a/.github/workflows/mpi_numba_reg.yml b/.github/workflows/mpi_numba_reg.yml index 384fd150..fe291d34 100644 --- a/.github/workflows/mpi_numba_reg.yml +++ b/.github/workflows/mpi_numba_reg.yml @@ -1,4 +1,4 @@ -name: Regression Test - Numba and MPI (2 threads) +name: Regression Test - Numba and MPI on: [push, pull_request] diff --git a/.github/workflows/mpi_numba_regII.yml b/.github/workflows/mpi_numba_regII.yml deleted file mode 100644 index 020de381..00000000 --- a/.github/workflows/mpi_numba_regII.yml +++ /dev/null @@ -1,35 +0,0 @@ -name: Regression Test - Numba and MPI (4 threads) - -on: [push, pull_request] - -jobs: - build: - runs-on: ${{ matrix.os }} - strategy: - fail-fast: false - matrix: - os: ["ubuntu-latest"] #, "macos-latest" - steps: - - uses: actions/checkout@v3 - - name: Set up python 3.11 - uses: actions/setup-python@v3 - with: - python-version: "3.11" - - name: debug - run: | - pwd - ls - - uses: mpi4py/setup-mpi@v1 - - name: Install dependencies - run: | - #sudo apt-get install libopenmpi-dev - #pip install numpy numba h5py matplotlib scipy pytest colorama mpi4py ngsolve distinctipy - pip list - pip install -e . - - name: Patch Numba - run : | - bash .github/workflows/patch.sh - - name: Regression Test - Numba and MPI - run: | - cd test/regression - python run.py --mode=numba --mpiexec=4 From 4b9dcf7f72efa860b8f28e094e69c2925c373566 Mon Sep 17 00:00:00 2001 From: "Joanna Piper Morgan (amd)" Date: Wed, 14 Feb 2024 15:40:18 -0800 Subject: [PATCH 06/31] adding documentation for cacheing and debug options --- docs/source/conf.py | 1 + docs/source/contribution.rst | 58 ++++++++++++++++++++++++++++++++++++ docs/source/user.rst | 18 +++++++++++ 3 files changed, 77 insertions(+) diff --git a/docs/source/conf.py b/docs/source/conf.py index 29e4116f..69e46ca9 100644 --- a/docs/source/conf.py +++ b/docs/source/conf.py @@ -42,6 +42,7 @@ "sphinx.ext.autosummary", "sphinx_toolbox.github", "sphinx_toolbox.sidebar_links", + "sphinx.ext.autosectionlabel", ] autosummary_generate = True diff --git a/docs/source/contribution.rst b/docs/source/contribution.rst index daf2b2cb..716f324f 100644 --- a/docs/source/contribution.rst +++ b/docs/source/contribution.rst @@ -30,6 +30,64 @@ It's pretty easy to do this locally, just run, in the top level MC/DC directory and all necessary changes will be automatically made for you. +--------- +Debugging +--------- + +MCDC includes options to debug the Numba JIT code. +It does this by toggling Numba options using the numba.config submodule. +This will result in less performant code and longer compile times but will allow for better error messages from Numba and other packages. +`See Numba documentation of a list of all possible debug and compiler options. `_ +The most useful set of debug options for MC/DC can be enabled with + +.. code-block:: python3 + + python input.py --mode=numba_debug + +Which will toggle the following debug and compiler options in Numba: + +* ``DISABLE_JIT=False`` turns on the jitter +* ``NUMBA_OPT=0`` Forces the compilers to form un-optimized code (other options for this are ``1``, ``2``, and ``3`` with ``3`` being the most optimized). This option might need to be changed if errors only result from more optimization. +* ``DEBUG=False`` turns on all debugging options. This is still disabled in ``mcdc numba_debug`` as it will print ALOT of info on your terminal screen +* ``NUMBA_FULL_TRACEBACKS=1`` allows errors from sub-packages to be printed (i.e. Numpy) +* ``NUMBA_BOUNDSCHECK=1`` numba will check vectors for bounds errors. If this is disabled it bound errors will result in a ``seg_fault``. This in consort with the previous option allows for the exact location of a bound error to be printed from Numpy subroutines +* ``NUMBA_DEBUG_NRT=1`` enables the `Numba run time (NRT) statistics counter `_ This helps with debugging memory leaks. +* ``NUMBA_DEBUG_TYPEINFER= 1`` print out debugging information about type inferences that numba might need to make if a function is ill-defined +* ``NUMBA_ENABLE_PROFILING=1`` enables profiler use +* ``NUMBA_DUMP_CFG=1`` prints out a control flow diagram + +If extra debug options or alteration to these options are required they can be toggled and passed under the ``mode==numba_debug`` option tree near the top of ``mcdc/main.py``. + +------- +Caching +------- + +MC/DC is a just-in-time (JIT) compiled code. +This is sometimes disadvantageous, especially for users who might run many versions of the same simulation with slightly different parameters. +As the JIT compilation scheme will only compile functions that are actually used in a given simulation, it is not a grantee that any one function will be compiled. + +Developers should be very cautious about using caching features. +Numba has a few documented errors around caching. +The most critical of which is that functions in other files that are called by cached functions will not force a recompile, even if there are changes in those sub-functions. +In this case caching should be disabled. + +In MC/DC the outer most loop functions (in ``mcdc/loop.py``) are called to be cached. +This is done with a option on the jit flag above the individual function declarations like + +.. code-block:: python3 + + nb.njit(cache=True) + def loop_fixed_source(mcdc): + # Loop over + ... + +To disable caching toggle these jit flags from ``True`` to ``False``. +Alteratively a developer could delete the ``__pycache__`` directory or other cache directory which is system dependent (`see more about clearing the numba cache `_) + + +At some point MC/DC will enable `Numba's Ahead of Time compilation abilities `_. But the core development team is holding off until scheduled `upgrades to AOT functionality in Numba are implemented `_. +However if absolutely required by users numba does allow for some `cache sharing `_. + ------- Testing ------- diff --git a/docs/source/user.rst b/docs/source/user.rst index e04e7416..452c0ac6 100644 --- a/docs/source/user.rst +++ b/docs/source/user.rst @@ -203,6 +203,23 @@ Numba Mode python input.py --mode=numba +When running in Numba mode a significant amount of time is taken compiling Python functions to performant binaries. +Only functions used in a specific simulation will be compiled. +These binaries will be cached meaning that in subsequent runs of the same simulation the compilation step can be avoided. +The cache can be used as an effective ahead of time compilation scheme where binaries can be compiled once and shared between machines. +For more information on caching see :ref:`Caching` and `Numba Caching `_. + +MC/DC also has the ability to run Numba in a debugging mode. +This will result in less performant code and longer compile times but will allow for better error messages from Numba and other packages. + +.. code-block:: python3 + + python input.py --mode=numba_debug + + +For more information on the exact behavior of this option see :ref:`Debugging` + + Using MPI ^^^^^^^^^ @@ -216,6 +233,7 @@ Below, ``--mode`` can equal python or numba. srun python input.py --mode= + Postprocessing Results ---------------------- From df521e7df77c8b89b7ea97895c91d053c84ad9af Mon Sep 17 00:00:00 2001 From: "Joanna Piper Morgan (amd)" Date: Wed, 14 Feb 2024 15:40:47 -0800 Subject: [PATCH 07/31] fixing an incorrect word --- docs/paper.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/paper.md b/docs/paper.md index 23e2f77b..ee941fd2 100644 --- a/docs/paper.md +++ b/docs/paper.md @@ -107,7 +107,7 @@ We have implemented novel algorithms using this scheme and, in some verification It uses the Numba compiler for Python to compile compute kernels to a desired hardware target, including support for graphics processing units (GPUs) [@lam_numba_2015]. `MC/DC` uses `mpi4py` for distributed-memory parallelism [@mpi4py_2021] and has run at the scale of tens of thousands of processors [@variansyah_mc23_mcdc]. These acceleration and abstraction techniques allow `MC/DC` developers to remain in a pure Python development environment without needing to support compiled or domain-specific languages. -This has allowed `MC/DC` to grow from its instantiation less than two years ago into a codebase that supports full performant neutron transport and investigation of novel transport algorithms, with development mostly from relative novices. +This has allowed `MC/DC` to grow from its initialization less than two years ago into a codebase that supports full performant neutron transport and investigation of novel transport algorithms, with development mostly from relative novices. Many of the traditionally developed neutron-transport codes are export-controlled (i.e., are not open source and difficult to access) and notoriously difficult to install, use, and develop in. Because `MC/DC` is an open-source and easily installable Python package (with a `pip`-installable distribution), it is ideal for use in an academic environment for both research and education. From 601f6c4661374c3ea9415c840387f190f54bb297 Mon Sep 17 00:00:00 2001 From: "Joanna Piper Morgan (amd)" Date: Wed, 14 Feb 2024 15:41:58 -0800 Subject: [PATCH 08/31] back in black --- mcdc/loop.py | 1 + mcdc/main.py | 66 ++++++++++++++++++++++++++++++++------------------ mcdc/print_.py | 2 -- 3 files changed, 43 insertions(+), 26 deletions(-) diff --git a/mcdc/loop.py b/mcdc/loop.py index 093fe9ff..202edf34 100644 --- a/mcdc/loop.py +++ b/mcdc/loop.py @@ -28,6 +28,7 @@ # to effectivly disable cache, delete the cache folder (often located in /MCDC/mcdc/__pycache__) # see more about cacheing here https://numba.readthedocs.io/en/stable/developer/caching.html + @njit(cache=True) def loop_fixed_source(mcdc): # Loop over batches diff --git a/mcdc/main.py b/mcdc/main.py index af8ec6ea..cfe5eead 100644 --- a/mcdc/main.py +++ b/mcdc/main.py @@ -5,7 +5,11 @@ # TODO: Will be inside run() once Python/Numba adapter is integrated parser = argparse.ArgumentParser(description="MC/DC: Monte Carlo Dynamic Code") parser.add_argument( - "--mode", type=str, help="Run mode", choices=["python", "numba", "numba_debug"], default="python" + "--mode", + type=str, + help="Run mode", + choices=["python", "numba", "numba_debug"], + default="python", ) parser.add_argument("--N_particle", type=int, help="Number of particles") parser.add_argument("--output", type=str, help="Output file name") @@ -13,7 +17,13 @@ parser.add_argument("--no-progress_bar", dest="progress_bar", action="store_false") args, unargs = parser.parse_known_args() -from mcdc.print_ import print_banner, print_msg, print_runtime, print_header_eigenvalue, print_warning +from mcdc.print_ import ( + print_banner, + print_msg, + print_runtime, + print_header_eigenvalue, + print_warning, +) # Set mode # TODO: Will be inside run() once Python/Numba adapter is integrated @@ -27,28 +37,36 @@ msg = "\n >> Entering numba debug mode\n >> will result in slower code and longer compile times\n >> to configure debug options see main.py" print_warning(msg) - nb.config.DISABLE_JIT = False # turns on the jitter - nb.config.DEBUG = False # turns on debugging options - nb.config.NUMBA_FULL_TRACEBACKS=1 # enables errors from sub-packages to be printed - nb.config.NUMBA_BOUNDSCHECK=1 # checks bounds errors of vectors - nb.config.NUMBA_COLOR_SCHEME="dark_bg" # prints error messages for dark background terminals - nb.config.NUMBA_DEBUG_NRT= 1 # Numba run time (NRT) statistics counter - nb.config.NUMBA_DEBUG_TYPEINFER= 1 # print out debugging information about type inference. - nb.config.NUMBA_ENABLE_PROFILING=1 # enables profiler use - nb.config.NUMBA_DUMP_CFG=1 # prints out a control flow diagram - nb.config.NUMBA_OPT=0 # forums un optimized code from compilers - nb.config.NUMBA_DEBUGINFO=1 # - nb.config.NUMBA_EXTEND_VARIABLE_LIFETIMES=1 # allows for inspection of numba variables after end of compilation - - #file="str.txt";file1="list.txt" - #out=sys.stdout - #sys.stdout=open('debug_numba_config.txt','w') - #help(nb.config) - #sys.stdout.close - - #print_msg('>> Numba config exported to debug_numba_config.txt') - -#elif mode == "numba x86": + nb.config.DISABLE_JIT = False # turns on the jitter + nb.config.DEBUG = False # turns on debugging options + nb.config.NUMBA_FULL_TRACEBACKS = ( + 1 # enables errors from sub-packages to be printed + ) + nb.config.NUMBA_BOUNDSCHECK = 1 # checks bounds errors of vectors + nb.config.NUMBA_COLOR_SCHEME = ( + "dark_bg" # prints error messages for dark background terminals + ) + nb.config.NUMBA_DEBUG_NRT = 1 # Numba run time (NRT) statistics counter + nb.config.NUMBA_DEBUG_TYPEINFER = ( + 1 # print out debugging information about type inference. + ) + nb.config.NUMBA_ENABLE_PROFILING = 1 # enables profiler use + nb.config.NUMBA_DUMP_CFG = 1 # prints out a control flow diagram + nb.config.NUMBA_OPT = 0 # forums un optimized code from compilers + nb.config.NUMBA_DEBUGINFO = 1 # + nb.config.NUMBA_EXTEND_VARIABLE_LIFETIMES = ( + 1 # allows for inspection of numba variables after end of compilation + ) + + # file="str.txt";file1="list.txt" + # out=sys.stdout + # sys.stdout=open('debug_numba_config.txt','w') + # help(nb.config) + # sys.stdout.close + + # print_msg('>> Numba config exported to debug_numba_config.txt') + +# elif mode == "numba x86": # nb.config.NUMBA_OPT = 3 # NUMBA_DISABLE_INTEL_SVML diff --git a/mcdc/print_.py b/mcdc/print_.py index ddaa82c8..5d8bb0d1 100644 --- a/mcdc/print_.py +++ b/mcdc/print_.py @@ -25,8 +25,6 @@ def print_warning(msg): print(Style.RESET_ALL) sys.stdout.flush() - - def print_banner(mcdc): size = MPI.COMM_WORLD.Get_size() From 2b529bddea66acc4585fb5fb62db903232058281 Mon Sep 17 00:00:00 2001 From: "Joanna Piper Morgan (amd)" Date: Wed, 14 Feb 2024 15:44:54 -0800 Subject: [PATCH 09/31] changing max python version to 3.11.8 --- pyproject.toml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/pyproject.toml b/pyproject.toml index 51f7e27a..3ed6b3a1 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -18,7 +18,7 @@ authors = [ ] description = "Monte Carlo / Dynamic Code, a pure python high performance Monte Carlo neutronics package" readme = "README.md" -requires-python = ">=3.9, <=3.11.7" +requires-python = ">=3.9, <=3.11.8" license = {file = "LICENSE"} keywords = ["Monte Carlo", "Nuclear", "GPU", "numba", "mpi4py", "neutron transport", "neutronics", "HPC"] classifiers = [ From 469817b6dfbc963e4f44ed5726aec28697d59ae9 Mon Sep 17 00:00:00 2001 From: Kayla Clements Date: Tue, 27 Feb 2024 13:09:32 -0800 Subject: [PATCH 10/31] Added conda install mpi4py back to install script. --- install.sh | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/install.sh b/install.sh index 90ab5a4f..e0bbf938 100755 --- a/install.sh +++ b/install.sh @@ -15,7 +15,7 @@ bash patch_numba.sh # Install or build mpi4py if [ $# -eq 0 ]; then - conda mpi4py <<< "y" + conda install mpi4py <<< "y" fi while [ $# -gt 0 ]; do case $1 in From 3381e6c3c5b73bfb21e0efb9a4c342c302ac6b09 Mon Sep 17 00:00:00 2001 From: Kayla Clements Date: Tue, 27 Feb 2024 13:41:55 -0800 Subject: [PATCH 11/31] Added python version check to install script --- install.sh | 9 +++++++++ 1 file changed, 9 insertions(+) diff --git a/install.sh b/install.sh index e0bbf938..66963ced 100755 --- a/install.sh +++ b/install.sh @@ -1,5 +1,14 @@ #!/bin/bash +# Check python version +if ! { python3 -c 'import sys; assert sys.version_info < (3,12)' > /dev/null 2>&1 && python3 -c 'import sys; assert sys.version_info >= (3,9)' > /dev/null 2>&1; }; then + v=$(python3 --version) + p=$(which python) + echo "ERROR: Python version must be < 3.12 and >= 3.9." + echo " Found $v at $p." + echo "ERROR: Installation failed." + exit 1 +fi # Install MC/DC module pip install -e . From c46c8e256ba833e07060cb7074ea4e079294be3a Mon Sep 17 00:00:00 2001 From: Kayla Clements Date: Tue, 27 Feb 2024 14:23:25 -0800 Subject: [PATCH 12/31] Re-arranged installation script. When using the script, Caleb was having the issue that pip was trying to install mpi4py and was unable to do so, therefore being unable to finish the mcdc installation. Installing pip with conda first made it so pip no longer tried to install mpi4py. Possibly an issue exclusive to osx-arm64 machines. --- install.sh | 24 ++++++++++++------------ 1 file changed, 12 insertions(+), 12 deletions(-) diff --git a/install.sh b/install.sh index 66963ced..6abce072 100755 --- a/install.sh +++ b/install.sh @@ -10,18 +10,6 @@ if ! { python3 -c 'import sys; assert sys.version_info < (3,12)' > /dev/null 2>& exit 1 fi -# Install MC/DC module -pip install -e . - - -# Install MC/DC dependencies, reply "y" to conda prompt -conda install numpy numba matplotlib scipy h5py pytest colorama <<< "y" - -# Installing visualization dependencies (required via pip for osx-arm64) -pip install ngsolve distinctipy - -bash patch_numba.sh - # Install or build mpi4py if [ $# -eq 0 ]; then conda install mpi4py <<< "y" @@ -53,3 +41,15 @@ while [ $# -gt 0 ]; do shift done +# Install MC/DC module +pip install -e . + + +# Install MC/DC dependencies, reply "y" to conda prompt +conda install numpy numba matplotlib scipy h5py pytest colorama <<< "y" + +# Installing visualization dependencies (required via pip for osx-arm64) +pip install ngsolve distinctipy + +bash patch_numba.sh + From 666e542cba8e6989126c65037dfc2bc5810296d0 Mon Sep 17 00:00:00 2001 From: "Joanna Piper Morgan (jonsey)" Date: Fri, 22 Mar 2024 15:33:59 -0700 Subject: [PATCH 13/31] adding plt.show --- examples/eigenvalue/slab_kornreich_iqmc/process.py | 1 + 1 file changed, 1 insertion(+) diff --git a/examples/eigenvalue/slab_kornreich_iqmc/process.py b/examples/eigenvalue/slab_kornreich_iqmc/process.py index 708587eb..46afcba1 100644 --- a/examples/eigenvalue/slab_kornreich_iqmc/process.py +++ b/examples/eigenvalue/slab_kornreich_iqmc/process.py @@ -95,3 +95,4 @@ plt.xlabel(r"$x$") plt.grid() plt.legend() +plt.show() \ No newline at end of file From eb780227a974fefae58f6788e5c1680998f7e131 Mon Sep 17 00:00:00 2001 From: "Joanna Piper Morgan (jonsey)" Date: Fri, 22 Mar 2024 15:34:28 -0700 Subject: [PATCH 14/31] adding plt.show --- examples/fixed_source/slab_reed_iqmc/process.py | 1 + 1 file changed, 1 insertion(+) diff --git a/examples/fixed_source/slab_reed_iqmc/process.py b/examples/fixed_source/slab_reed_iqmc/process.py index f393b0c1..69c60ca7 100644 --- a/examples/fixed_source/slab_reed_iqmc/process.py +++ b/examples/fixed_source/slab_reed_iqmc/process.py @@ -132,3 +132,4 @@ def f_phi(x1, x2): plt.xlabel(r"$x$") plt.grid() plt.legend() +plt.show() \ No newline at end of file From 0be511c3bf1d3f6e674b61ae0756e65e4649270f Mon Sep 17 00:00:00 2001 From: "Joanna Piper Morgan (jonsey)" Date: Fri, 22 Mar 2024 15:35:12 -0700 Subject: [PATCH 15/31] adding error message for uncondifgured cont eng xsec data lib --- mcdc/input_.py | 2 ++ 1 file changed, 2 insertions(+) diff --git a/mcdc/input_.py b/mcdc/input_.py index 0ec2022f..70488d4b 100644 --- a/mcdc/input_.py +++ b/mcdc/input_.py @@ -323,6 +323,8 @@ def material( nuc_card["ID"] = nuc_ID dir_name = os.getenv("MCDC_XSLIB") + if (dir_name == None): + print_error("Continuous energy data directory not configured \n see https://cement-psaapgithubio.readthedocs.io/en/latest/install.html#configuring-continuous-energy-library \n") with h5py.File(dir_name + "/" + nuc_name + ".h5", "r") as f: if max(f["fission"][:]) > 0.0: nuc_card["fissionable"] = True From b594a4df1dd9e767f8a1860df9a604274e0672f1 Mon Sep 17 00:00:00 2001 From: "Joanna Piper Morgan (jonsey)" Date: Fri, 22 Mar 2024 15:38:50 -0700 Subject: [PATCH 16/31] back in black --- examples/eigenvalue/slab_kornreich_iqmc/process.py | 2 +- examples/fixed_source/slab_reed_iqmc/process.py | 2 +- mcdc/input_.py | 6 ++++-- 3 files changed, 6 insertions(+), 4 deletions(-) diff --git a/examples/eigenvalue/slab_kornreich_iqmc/process.py b/examples/eigenvalue/slab_kornreich_iqmc/process.py index 46afcba1..41d410cd 100644 --- a/examples/eigenvalue/slab_kornreich_iqmc/process.py +++ b/examples/eigenvalue/slab_kornreich_iqmc/process.py @@ -95,4 +95,4 @@ plt.xlabel(r"$x$") plt.grid() plt.legend() -plt.show() \ No newline at end of file +plt.show() diff --git a/examples/fixed_source/slab_reed_iqmc/process.py b/examples/fixed_source/slab_reed_iqmc/process.py index 69c60ca7..5bb0d094 100644 --- a/examples/fixed_source/slab_reed_iqmc/process.py +++ b/examples/fixed_source/slab_reed_iqmc/process.py @@ -132,4 +132,4 @@ def f_phi(x1, x2): plt.xlabel(r"$x$") plt.grid() plt.legend() -plt.show() \ No newline at end of file +plt.show() diff --git a/mcdc/input_.py b/mcdc/input_.py index 70488d4b..36ed3caa 100644 --- a/mcdc/input_.py +++ b/mcdc/input_.py @@ -323,8 +323,10 @@ def material( nuc_card["ID"] = nuc_ID dir_name = os.getenv("MCDC_XSLIB") - if (dir_name == None): - print_error("Continuous energy data directory not configured \n see https://cement-psaapgithubio.readthedocs.io/en/latest/install.html#configuring-continuous-energy-library \n") + if dir_name == None: + print_error( + "Continuous energy data directory not configured \n see https://cement-psaapgithubio.readthedocs.io/en/latest/install.html#configuring-continuous-energy-library \n" + ) with h5py.File(dir_name + "/" + nuc_name + ".h5", "r") as f: if max(f["fission"][:]) > 0.0: nuc_card["fissionable"] = True From 80c41bfa1113cbf6a153bb5fd10990951a845540 Mon Sep 17 00:00:00 2001 From: "Joanna Piper Morgan (jonsey)" Date: Sat, 23 Mar 2024 12:20:06 -0700 Subject: [PATCH 17/31] adding doc strings to all input functions --- mcdc/input_.py | 287 ++++++++++++++++++++++++++++++++++++++++++++++++- 1 file changed, 283 insertions(+), 4 deletions(-) diff --git a/mcdc/input_.py b/mcdc/input_.py index 36ed3caa..f3f4b103 100644 --- a/mcdc/input_.py +++ b/mcdc/input_.py @@ -1,6 +1,7 @@ """ This module contains functions for setting MC/DC input deck. The input deck class is defined in `card.py` and instantiated in `global_.py`. +Note docstring are numpy typed """ import h5py, math, mpi4py, os @@ -656,6 +657,21 @@ def _set_J(x, t, card): def cell(surfaces_flags, fill, lattice_center=None): + """_summary_ + + Parameters + ---------- + surfaces_flags : bool + list of surface cards + fill : bool + fill the cells + lattice_center : _type_, optional + _description_, by default None + + Returns + ------- + cell card : dictionary + """ N_surface = len(surfaces_flags) # Make cell card @@ -685,6 +701,20 @@ def cell(surfaces_flags, fill, lattice_center=None): def universe(cells, root=False): + """_summary_ + + Parameters + ---------- + cells : dictionary + cell card dexcriptions + root : bool, optional + by default False + + Returns + ------- + dictionary + universe + """ N_cell = len(cells) # Set default card values (c.f. type_.py) @@ -708,6 +738,25 @@ def universe(cells, root=False): def lattice(x=None, y=None, z=None, universes=None): + """ + Create a lattice card + + Parameters + ---------- + x : array like, optional + x[float], by default None + y : array like, optional + y[float], by default None + z : array like, optional + z[float], by default None + universes : dictionary, optional + d, by default None + + Returns + ------- + dictionary + lattice card + """ # Make lattice card card = make_card_lattice() card["ID"] = len(mcdc.input_deck.lattices) @@ -899,6 +948,35 @@ def tally( g=np.array([-INF, INF]), E=np.array([0.0, INF]), ): + """_summary_ + + Parameters + ---------- + scores : _type_ + _description_ + x : _type_, optional + _description_, by default np.array([-INF, INF]) + y : _type_, optional + _description_, by default np.array([-INF, INF]) + z : _type_, optional + _description_, by default np.array([-INF, INF]) + t : _type_, optional + _description_, by default np.array([-INF, INF]) + mu : _type_, optional + _description_, by default np.array([-1.0, 1.0]) + azi : _type_, optional + _description_, by default np.array([-PI, PI]) + g : _type_, optional + _description_, by default np.array([-INF, INF]) + E : _type_, optional + _description_, by default np.array([0.0, INF]) + + Returns + ------- + _type_ + _description_ + """ + # Get tally card card = mcdc.input_deck.tally @@ -940,6 +1018,44 @@ def tally( def setting(**kw): + """ + Create a setting card. + + Other Parameters + ---------------- + N_particle : int + Number of MC particle histories to run (for k-eigen and iQMC its /iteration) + N_batch : int + Number of batches to run + rng_seed : int + Random number seed + time_boundary : float + the time edge of the problem after which all particles will be killed + progress_bar : bool + display the progress bar (disable when running MC/DC in a loop) + output_name : str + Name of the output file MC/DC should save data in, default is output.h5 + save_input_deck : bool + toggle to save the input deck + particle_tracker : bool + true will track the paths of all individual particle histories, memory issues abound + k_eff : str + toggle true to run a k-eigen problem + source_file : str + specify a source file path and name + IC_file : str + path to a file containing a description of an initial condition as a file + active_bank_buff : int + size of the activate particle bank buffer, for MPI runs + census_bank_buff : int + sets size of the census buffer particle bank + + Returns + ------- + dictionary + A setting card + """ + # Check the suplied keyword arguments for key in kw.keys(): check_support( @@ -1056,6 +1172,28 @@ def setting(**kw): def eigenmode( N_inactive=0, N_active=0, k_init=1.0, gyration_radius=None, save_particle=False ): + """ + Creates an eigenmode card + + Parameters + ---------- + N_inactive : int + Number of inactive cycles to settle k + N_active : int + Number of active cycles to collect statistics and inform the value of k + k_init : float + an initial k value + gyration_radius : float + specify a gyration radius + save_particle : bool + toggle to save particle track outputs in a tally mesh + + Returns + ------- + dictionary + A eigen mode card + """ + # Update setting card card = mcdc.input_deck.setting card["N_inactive"] = N_inactive @@ -1096,17 +1234,35 @@ def eigenmode( def implicit_capture(): + """sets implicit capture""" card = mcdc.input_deck.technique card["implicit_capture"] = True card["weighted_emission"] = False def weighted_emission(flag): + """ + sets weighted emission + + Parameters + ---------- + flag : bool + toggle weighted emission on or off + """ + card = mcdc.input_deck.technique card["weighted_emission"] = flag def population_control(pct="combing"): + """sets population control techniques + + Parameters + ---------- + pct : str, optional + population control method, by default "combing" + """ + card = mcdc.input_deck.technique card["population_control"] = True card["weighted_emission"] = False @@ -1119,12 +1275,28 @@ def population_control(pct="combing"): def branchless_collision(): + """ + sets branchless collision + """ card = mcdc.input_deck.technique card["branchless_collision"] = True card["weighted_emission"] = False def time_census(t): + """ + Sets a time + + Parameters + ---------- + t : array like [float] + set the time census boundaries + + Returns + ------- + Card alterations. + """ + # Remove census beyond the final tally time grid point while True: if t[-1] >= mcdc.input_deck.tally["mesh"]["t"][-1]: @@ -1142,6 +1314,28 @@ def time_census(t): def weight_window(x=None, y=None, z=None, t=None, window=None, width=None): + """adds weight windows for a combing function + + Parameters + ---------- + x : array like[float], optional + location of the weight window in x, by default None + y : array like[float], optional + location of the weight window in y, by default None + z : array like[float], optional + location of the weight window in z, by default None + t : array like[float], optional + location of the weight window in t, by default None + window : array like[float], optional + bound of the statistic weight of the window, by default None + width : array like[float], optional + statistical width the window will apply, by default None + + Returns + ------- + Card alterations. + + """ card = mcdc.input_deck.technique card["weight_window"] = True @@ -1206,6 +1400,68 @@ def iQMC( eigenmode_solver="power_iteration", score=[], ): + """Sets iqmc settings + + Parameters + ---------- + g : _type_, optional + _description_, by default None + t : _type_, optional + _description_, by default None + x : _type_, optional + _description_, by default None + y : _type_, optional + _description_, by default None + z : _type_, optional + _description_, by default None + phi0 : _type_, optional + _description_, by default None + source0 : _type_, optional + _description_, by default None + source_x0 : _type_, optional + _description_, by default None + source_y0 : _type_, optional + _description_, by default None + source_z0 : _type_, optional + _description_, by default None + source_xy0 : _type_, optional + _description_, by default None + source_xz0 : _type_, optional + _description_, by default None + source_yz0 : _type_, optional + _description_, by default None + source_xyz0 : _type_, optional + _description_, by default None + fission_source0 : _type_, optional + _description_, by default None + krylov_restart : _type_, optional + _description_, by default None + fixed_source : _type_, optional + _description_, by default None + scramble : bool, optional + _description_, by default False + maxitt : int, optional + _description_, by default 25 + tol : _type_, optional + _description_, by default 1e-6 + N_dim : int, optional + _description_, by default 6 + seed : int, optional + _description_, by default 12345 + preconditioner_sweeps : int, optional + _description_, by default 5 + generator : str, optional + _description_, by default "halton" + fixed_source_solver : str, optional + _description_, by default "source_iteration" + eigenmode_solver : str, optional + _description_, by default "power_iteration" + score : list, optional + _description_, by default [] + + + """ + card = mcdc.input_deck.technique card["iQMC"] = True card["iqmc"]["tol"] = tol @@ -1308,7 +1564,7 @@ def iQMC( def weight_roulette(w_threshold=0.2, w_survive=1.0): """ - If neutron weight is below `w_threshold`, then enter weight rouelette + If neutron weight is below `w_threshold`, then enter weight roulette technique with survival weight `w_survive`. Parameters @@ -1319,7 +1575,7 @@ def weight_roulette(w_threshold=0.2, w_survive=1.0): Returns ------- - None. + Card alterations. """ card = mcdc.input_deck.technique @@ -1347,9 +1603,9 @@ def IC_generator( N_neutron : int Neutron target size N_precursor : int - Delayed neutron precursot target size + Delayed neutron precursor target size cycle_stretch : float - Factor to strethch number of cycles. Higher cycle stretch reduces inter-cycle + Factor to stretch number of cycles. Higher cycle stretch reduces inter-cycle correlation. neutron_density, max_neutron_density : float Total and maximum neutron density, required if `N_neutron` > 0. @@ -1402,6 +1658,15 @@ def IC_generator( def dsm(order=1): + """ + direct sensitivity analysis + + Parameters + ---------- + order : int, optional + order of the sensitivity to probe, by default 1 + """ + card = mcdc.input_deck.technique if order > 2: print_error("DSM currently only supports up to second-order sensitivities") @@ -1409,6 +1674,20 @@ def dsm(order=1): def uq(**kw): + """ + uncertainty quantification set + + Other Parameters + ---------------- + w_threshold : weight_roulette() is called on a particle if + P['w'] <= wr_threshold + w_survive : survival weight + + Returns + ------- + Card alterations. + """ + def append_card(delta_card, global_tag): delta_card["distribution"] = dist delta_card["flags"] = [] From 31ea5d1428a3db65c5a4af3efaa09d9989df02b3 Mon Sep 17 00:00:00 2001 From: "Joanna Piper Morgan (jonsey)" Date: Sat, 23 Mar 2024 12:55:41 -0700 Subject: [PATCH 18/31] eiding input docstinrgs and some documentaiton fixes --- docs/source/user.rst | 11 +++--- mcdc/input_.py | 83 ++++++++++++++++++++++++-------------------- 2 files changed, 52 insertions(+), 42 deletions(-) diff --git a/docs/source/user.rst b/docs/source/user.rst index 452c0ac6..555bad2a 100644 --- a/docs/source/user.rst +++ b/docs/source/user.rst @@ -226,13 +226,14 @@ Using MPI MC/DC can be executed using MPI with or without Numba acceleration. If ``numba-mode`` is enabled the ``jit`` compilation, which is executed on all threads, can take between 30s-2min. For smaller problems, Numba compilation time could exceed runtime, and pure python mode could be preferable. -Below, ``--mode`` can equal python or numba. +Below, ``--mode`` can equal python or numba. MC/DC gets MPI functinoality via `mpi4py `_. +As an example, to run on 36 processes in Numba mode with `SLURM `_: .. code-block:: python3 - srun python input.py --mode= - + srun -n 36 python input.py --mode= +For systems that do not use SLURM (i.e., a local system) try ``mpiexec`` or ``mpirun`` in its stead. Postprocessing Results ---------------------- @@ -291,7 +292,7 @@ A tool like ``matplotlib`` will work great for plotting results. For more complex simulations, open source professional visualization software like `Paraview `_ or `Visit `_ are available. -As the problem we ran above is pretty simple and has no scattering or fission, we have an analytic solution we can import: +As the problem we ran above is pretty simple and has no scattering or fission, we have an `analytic solution we can import `_: .. code-block:: python3 @@ -300,7 +301,7 @@ As the problem we ran above is pretty simple and has no scattering or fission, w In the script below, we plot the space-averaged flux and space-averaged current, including their statistical noise. We also use the space-averaged flux and current to compute a new quantity, the space-averaged angular flux, and plot it over space and angle in a heat map. -Remember that when reporting results from a Monte Carlo solver, you should **always include the statical error!** +Remember that when reporting results from a Monte Carlo solver, you should **always include the statistical error!** .. code-block:: python3 diff --git a/mcdc/input_.py b/mcdc/input_.py index f3f4b103..6a2024c7 100644 --- a/mcdc/input_.py +++ b/mcdc/input_.py @@ -657,7 +657,8 @@ def _set_J(x, t, card): def cell(surfaces_flags, fill, lattice_center=None): - """_summary_ + """ + Defines a cell as a building block of geometry Parameters ---------- @@ -665,8 +666,8 @@ def cell(surfaces_flags, fill, lattice_center=None): list of surface cards fill : bool fill the cells - lattice_center : _type_, optional - _description_, by default None + lattice_center : array like[float], optional + defines the center of the lattice, by default None Returns ------- @@ -701,12 +702,13 @@ def cell(surfaces_flags, fill, lattice_center=None): def universe(cells, root=False): - """_summary_ + """ + Defines the region where particles will be tracked Parameters ---------- cells : dictionary - cell card dexcriptions + cell card descriptions root : bool, optional by default False @@ -799,7 +801,7 @@ def lattice(x=None, y=None, z=None, universes=None): def source(**kw): """ - Create a source card. + Create a source card Other Parameters ---------------- @@ -948,33 +950,33 @@ def tally( g=np.array([-INF, INF]), E=np.array([0.0, INF]), ): - """_summary_ + """ + Creates a tally card to collect MC solutions Parameters ---------- - scores : _type_ - _description_ - x : _type_, optional - _description_, by default np.array([-INF, INF]) - y : _type_, optional - _description_, by default np.array([-INF, INF]) - z : _type_, optional - _description_, by default np.array([-INF, INF]) - t : _type_, optional - _description_, by default np.array([-INF, INF]) - mu : _type_, optional - _description_, by default np.array([-1.0, 1.0]) - azi : _type_, optional - _description_, by default np.array([-PI, PI]) - g : _type_, optional - _description_, by default np.array([-INF, INF]) - E : _type_, optional + scores : str + set tally type, default to tracklength + x : array like [float], optional + define x-spatial tally bins, by default np.array([-INF, INF]) + y : array like [float], optional + define y-spatial tally bins, by default np.array([-INF, INF]) + z : array like [float], optional + define z-spatial tally bins, by default np.array([-INF, INF]) + t : array like [float], optional + define time tally bins, by default np.array([-INF, INF]) + mu : array like [float], optional + define axial angular tally bins, by default np.array([-1.0, 1.0]) + azi : array like [float], optional + define azimuthal angle tally bins, by default np.array([-PI, PI]) + g : array like [float], optional + tally group, define an energy band to tally in, by default np.array([-INF, INF]) + E : array like [float], optional _description_, by default np.array([0.0, INF]) Returns ------- - _type_ - _description_ + tally card : dictionary """ # Get tally card @@ -1234,7 +1236,9 @@ def eigenmode( def implicit_capture(): - """sets implicit capture""" + """ + Sets implicit capture + """ card = mcdc.input_deck.technique card["implicit_capture"] = True card["weighted_emission"] = False @@ -1242,7 +1246,7 @@ def implicit_capture(): def weighted_emission(flag): """ - sets weighted emission + Sets weighted emission variance reduction Parameters ---------- @@ -1255,7 +1259,8 @@ def weighted_emission(flag): def population_control(pct="combing"): - """sets population control techniques + """ + Sets population control techniques Parameters ---------- @@ -1276,7 +1281,7 @@ def population_control(pct="combing"): def branchless_collision(): """ - sets branchless collision + Sets branchless collision variance reduction technique """ card = mcdc.input_deck.technique card["branchless_collision"] = True @@ -1314,7 +1319,8 @@ def time_census(t): def weight_window(x=None, y=None, z=None, t=None, window=None, width=None): - """adds weight windows for a combing function + """ + Adds weight window variance reduction technique Parameters ---------- @@ -1400,14 +1406,15 @@ def iQMC( eigenmode_solver="power_iteration", score=[], ): - """Sets iqmc settings + """ + Sets iQMC settings Parameters ---------- g : _type_, optional - _description_, by default None + group, by default None t : _type_, optional - _description_, by default None + time, by default None x : _type_, optional _description_, by default None y : _type_, optional @@ -1459,7 +1466,9 @@ def iQMC( score : list, optional _description_, by default [] - + Returns + ------- + iqmc card : dictionary """ card = mcdc.input_deck.technique @@ -1659,7 +1668,7 @@ def IC_generator( def dsm(order=1): """ - direct sensitivity analysis + Direct sensitivity method Parameters ---------- @@ -1675,7 +1684,7 @@ def dsm(order=1): def uq(**kw): """ - uncertainty quantification set + Set uncertainty quantification Other Parameters ---------------- From 4ce16bd1fa702531edec1641c092d0fb83b41c6e Mon Sep 17 00:00:00 2001 From: "Joanna Piper Morgan (jonsey)" Date: Sat, 23 Mar 2024 14:22:37 -0700 Subject: [PATCH 19/31] fixing the number of particles in the buff bank --- examples/eigenvalue/smrg7/input.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/eigenvalue/smrg7/input.py b/examples/eigenvalue/smrg7/input.py index 56a42325..359da073 100644 --- a/examples/eigenvalue/smrg7/input.py +++ b/examples/eigenvalue/smrg7/input.py @@ -382,7 +382,7 @@ def set_mat(mat): mcdc.tally(scores=["flux", "fission"], x=x_grid, y=y_grid, z=z_grid, g="all") # Setting -mcdc.setting(N_particle=1e2) +mcdc.setting(N_particle=1e2, census_bank_buff=100) mcdc.eigenmode(N_inactive=10, N_active=30, gyration_radius="all") mcdc.population_control() From 52e316a78119c34025f63542b4ca593cf0f20a9e Mon Sep 17 00:00:00 2001 From: "Joanna Piper Morgan (jonsey)" Date: Sat, 23 Mar 2024 19:50:54 -0700 Subject: [PATCH 20/31] back in black --- mcdc/input_.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/mcdc/input_.py b/mcdc/input_.py index 6a2024c7..4752633e 100644 --- a/mcdc/input_.py +++ b/mcdc/input_.py @@ -1468,7 +1468,7 @@ def iQMC( Returns ------- - iqmc card : dictionary + iqmc card : dictionary """ card = mcdc.input_deck.technique From 8ef7f2e17a165b94517ff8071f3adc4e7c09e610 Mon Sep 17 00:00:00 2001 From: "Joanna Piper Morgan (jonsey)" Date: Tue, 26 Mar 2024 14:16:31 -0700 Subject: [PATCH 21/31] updating paper --- docs/paper.bib | 81 ++++++++++++++++++++++++++++++++++++++++++++++++++ docs/paper.md | 8 +++-- 2 files changed, 86 insertions(+), 3 deletions(-) diff --git a/docs/paper.bib b/docs/paper.bib index 25435ba8..4f6d0851 100644 --- a/docs/paper.bib +++ b/docs/paper.bib @@ -116,3 +116,84 @@ @book{lewis_computational_1984 } +#shift +@article{shift, + title = {Continuous-energy {Monte} {Carlo} neutron transport on {GPUs} in the {Shift} code}, + volume = {128}, + issn = {03064549}, + url = {https://linkinghub.elsevier.com/retrieve/pii/S0306454919300167}, + doi = {10.1016/j.anucene.2019.01.012}, + abstract = {A continuous-energy Monte Carlo neutron transport solver executing on GPUs has been developed within the Shift code. Several algorithmic approaches are considered, including both history-based and event-based implementations. Unlike in previous work involving multigroup Monte Carlo transport, it is demonstrated that event-based algorithms significantly outperform a historybased approach for continuous-energy transport as a result of increased device occupancy and reduced thread divergence. Numerical results are presented for detailed full-core models of a small modular reactor (SMR), including a model containing depleted fuel materials. These results demonstrate the substantial gains in performance that are possible with the latest-generation of GPUs. On the depleted SMR core configuration, an NVIDIA P100 GPU with 56 streaming multiprocessors provides performance equivalent to 90 CPU cores, and the latest V100 GPU with 80 multiprocessors offers the performance of more than 150 CPU cores.}, + language = {en}, + urldate = {2023-11-03}, + journal = {Annals of Nuclear Energy}, + author = {Hamilton, Steven P. and Evans, Thomas M.}, + month = jun, + year = {2019}, + pages = {236--247}, + file = {1-s2.0-S0306454919300167-am.pdf:/Users/jonesy/Documents/PapersLibrary/1-s2.0-S0306454919300167-am.pdf:application/pdf}, +} + + +#mcatk +@article{mcatk, + title = {Monte {Carlo} {Application} {ToolKit} ({MCATK})}, + volume = {82}, + issn = {0306-4549}, + url = {https://www.sciencedirect.com/science/article/pii/S0306454914004472}, + doi = {https://doi.org/10.1016/j.anucene.2014.08.047}, + abstract = {The Monte Carlo Application ToolKit (MCATK) is a component-based software library designed to build specialized applications and to provide new functionality for existing general purpose Monte Carlo radiation transport codes. We will describe MCATK and its capabilities along with presenting some verification and validations results.}, + journal = {Annals of Nuclear Energy}, + author = {Adams, Terry and Nolen, Steve and Sweezy, Jeremy and Zukaitis, Anthony and Campbell, Joann and Goorley, Tim and Greene, Simon and Aulwes, Rob}, + year = {2015}, + keywords = {Agile development, Component software, Monte Carlo particle transport, Parallel computing, Population control, Time-dependent}, + pages = {41--47}, + annote = {Joint International Conference on Supercomputing in Nuclear Applications and Monte Carlo 2013, SNA + MC 2013. Pluri- and Trans-disciplinarity, Towards New Modeling and Numerical Simulation Paradigms}, +} + + +# mcnp +@techreport{mcnp, + address = {Los Alamos, NM, USA}, + author = {Rising, Michael Evan and Armstrong, Jerawan Chudoung and Bolding, Simon R. and Brown, Forrest Brooks and Bull, Jeffrey S. and Burke, Timothy Patrick and Clark, Alexander Rich and Dixon, David A. and Forster, III, Robert Arthur and Giron, Jesse Frank and Grieve, Tristan Sumner and Hughes, III, Henry Grady and Josey, Colin James and Kulesza, Joel Aaron and Martz, Roger Lee and McCartney, Austin P. and McKinney, Gregg Walter and Mosher, Scott William and Pearson, Eric John and Solomon, Jr., Clell Jeffrey and Swaminarayan, Sriram and Sweezy, Jeremy Ed and Wilson, Stephen Christian and Zukaitis, Anthony J.}, + doi = {10.2172/1909545}, + institution = {Los Alamos National Laboratory}, + month = {January}, + number = {LA-UR-22-33103, Rev.~1}, + title = {{MCNP\textsuperscript{\textregistered} Code Version 6.3.0 Release Notes}}, + url = {https://www.osti.gov/biblio/1909545}, + year = {2023} +} + +# openmc +@article{openmc, + author = {Romano, Paul K. and Forget, Benoit}, + address = {United States}, + copyright = {2012 Elsevier Ltd}, + issn = {0306-4549}, + journal = {Annals of nuclear energy}, + keywords = {Code (cryptography) ; Computational science ; Computer science ; Criticality ; High performance computing ; Monte Carlo ; Monte carlo code ; Monte Carlo method ; Neutron transport ; Nuclear Science \& Technology ; Open source ; Particle transport ; Software design ; Supercomputer ; Theoretical computer science}, + language = {eng}, + number = {C}, + organization = {UT-Battelle LLC/ORNL, Oak Ridge, TN (Unted States)}, + pages = {274-281}, + publisher = {Elsevier Ltd}, + title = {The OpenMC Monte Carlo particle transport code}, + volume = {51}, + year = {2013}, +} + + +# geant4 +@article{geant4, + title = {Geant4—a simulation toolkit}, + journal = {Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment}, + volume = {506}, + number = {3}, + pages = {250-303}, + year = {2003}, + issn = {0168-9002}, + doi = {10.1016/S0168-9002(03)01368-8}, + url = {https://www.sciencedirect.com/science/article/pii/S0168900203013688}, + author = {S. Agostinelli and J. Allison and K. Amako and J. Apostolakis and H. Araujo and P. Arce and M. Asai and D. Axen and S. Banerjee and G. Barrand and F. Behner and L. Bellagamba and J. Boudreau and L. Broglia and A. Brunengo and H. Burkhardt and S. Chauvie and J. Chuma and R. Chytracek and G. Cooperman and G. Cosmo and P. Degtyarenko and A. Dell'Acqua and G. Depaola and D. Dietrich and R. Enami and A. Feliciello and C. Ferguson and H. Fesefeldt and G. Folger and F. Foppiano and A. Forti and S. Garelli and S. Giani and R. Giannitrapani and D. Gibin and J.J. {Gómez Cadenas} and I. González and G. {Gracia Abril} and G. Greeniaus and W. Greiner and V. Grichine and A. Grossheim and S. Guatelli and P. Gumplinger and R. Hamatsu and K. Hashimoto and H. Hasui and A. Heikkinen and A. Howard and V. Ivanchenko and A. Johnson and F.W. Jones and J. Kallenbach and N. Kanaya and M. Kawabata and Y. Kawabata and M. Kawaguti and S. Kelner and P. Kent and A. Kimura and T. Kodama and R. Kokoulin and M. Kossov and H. Kurashige and E. Lamanna and T. Lampén and V. Lara and V. Lefebure and F. Lei and M. Liendl and W. Lockman and F. Longo and S. Magni and M. Maire and E. Medernach and K. Minamimoto and P. {Mora de Freitas} and Y. Morita and K. Murakami and M. Nagamatu and R. Nartallo and P. Nieminen and T. Nishimura and K. Ohtsubo and M. Okamura and S. O'Neale and Y. Oohata and K. Paech and J. Perl and A. Pfeiffer and M.G. Pia and F. Ranjard and A. Rybin and S. Sadilov and E. {Di Salvo} and G. Santin and T. Sasaki and N. Savvas and Y. Sawada and S. Scherer and S. Sei and V. Sirotenko and D. Smith and N. Starkov and H. Stoecker and J. Sulkimo and M. Takahata and S. Tanaka and E. Tcherniaev and E. {Safai Tehrani} and M. Tropeano and P. Truscott and H. Uno and L. Urban and P. Urban and M. Verderi and A. Walkden and W. Wander and H. Weber and J.P. Wellisch and T. Wenaus and D.C. Williams and D. Wright and T. Yamada and H. Yoshida and D. Zschiesche}, +} \ No newline at end of file diff --git a/docs/paper.md b/docs/paper.md index ee941fd2..33d7e72e 100644 --- a/docs/paper.md +++ b/docs/paper.md @@ -109,16 +109,18 @@ It uses the Numba compiler for Python to compile compute kernels to a desired ha These acceleration and abstraction techniques allow `MC/DC` developers to remain in a pure Python development environment without needing to support compiled or domain-specific languages. This has allowed `MC/DC` to grow from its initialization less than two years ago into a codebase that supports full performant neutron transport and investigation of novel transport algorithms, with development mostly from relative novices. -Many of the traditionally developed neutron-transport codes are export-controlled (i.e., are not open source and difficult to access) and notoriously difficult to install, use, and develop in. -Because `MC/DC` is an open-source and easily installable Python package (with a `pip`-installable distribution), it is ideal for use in an academic environment for both research and education. +Many traditionally developed neutron-transport codes (e.g. `MCNP` [@mcnp], `Shift` [@shift], and `MCATK` [@mcatk]) are export-controlled and notoriously difficult to install, use, and develop in. +`MC/DC` is comparable to other open source Monte Carlo neutron-transport apps (e.g. `OpenMC` [@openmc]), however `MC/DC` is an easily installable Python package (with a `pip` distribution) with it's own novel transport methods and features tailored to tackle dynamic transport. +This all together makes `MC/DC` ideal for use in an academic environment for both research and education. This is further assisted by the test suite we have developed for unit, regression, verification, and performance tests, which are mostly run using continuous integration via GitHub Actions. +In a code-to-code performance comparison `MC/DC` was found to run about 2.5 times slower then the Shift Monte Carlo code, and showed similar scaling on some systems [@variansyah_mc23_mcdc]. `MC/DC` has support for continuous energy and multi-group treatments of the neutron distribution in energy. It can solve k-eigenvalue problems (used to determine neutron population growth rates in reactors) as well as fully dynamic simulations. It has a novel continuous geometry movement function that models transient elements (e.g., control rods or pulsed neutron experiments) more accurately than the step functions used by other codes. It also supports some simple domain decomposition, with more complex algorithms currently being implemented. -`MC/DC`-enabled explorations into dynamic neutron transport algorithms have been successful, including quasi-Monte Carlo techniques [@mcdc:variansyah_physor22_pct], hybrid iterative techniques for k-eigenvalue simulations [@mcdc:qmc; @mcdc:qmcabs], transient population control techniques [@mcdc:variansyah_nse22_pct], hash-based random number generation, uncertainty and global sensitivity analysis [@mcdc:clements_mc23], residual Monte Carlo methods, and machine learning techniques for dynamic node scheduling, among others. +`MC/DC`-enabled explorations into dynamic neutron transport algorithms have been successful, including quasi-Monte Carlo techniques [@mcdc:variansyah_physor22_pct], hybrid iterative techniques for k-eigenvalue simulations [@mcdc:qmc; @mcdc:qmcabs], transient population control techniques [@mcdc:variansyah_nse22_pct], hash-based random number generation, uncertainty and global sensitivity analysis [@mcdc:clements_mc23; mcdc:clements_variance_2024], residual Monte Carlo methods, and machine learning techniques for dynamic node scheduling, among others. # Future Work From 50503b431371d9b5bb4195bb5dd5911f1f9e4855 Mon Sep 17 00:00:00 2001 From: "Joanna Piper Morgan (jonsey)" Date: Tue, 26 Mar 2024 14:50:44 -0700 Subject: [PATCH 22/31] adding citation to paper and notes to examples --- docs/paper.bib | 26 ++++++++++++++++++++++++++ docs/paper.md | 2 +- examples/c5g7/3d/TDX/input.py | 4 ++++ examples/c5g7/3d/k-eigenvalue/input.py | 1 + examples/eigenvalue/2d_c5g7/input.py | 1 + 5 files changed, 33 insertions(+), 1 deletion(-) diff --git a/docs/paper.bib b/docs/paper.bib index 4f6d0851..c596e014 100644 --- a/docs/paper.bib +++ b/docs/paper.bib @@ -82,6 +82,21 @@ @article{mcdc:variansyah_nse22_pct doi = {10.1080/00295639.2022.2091906} } +@article{mcdc:clements_variance_2024, + title = {A variance deconvolution estimator for efficient uncertainty quantification in {Monte} {Carlo} radiation transport applications}, + volume = {319}, + issn = {0022-4073}, + url = {https://www.sciencedirect.com/science/article/pii/S0022407324000657}, + doi = {https://doi.org/10.1016/j.jqsrt.2024.108958}, + abstract = {Monte Carlo simulations are at the heart of many high-fidelity simulations and analyses for radiation transport systems. As is the case with any complex computational model, it is important to propagate sources of input uncertainty and characterize how they affect model output. Unfortunately, uncertainty quantification (UQ) is made difficult by the stochastic variability that Monte Carlo transport solvers introduce. The standard method to avoid corrupting the UQ statistics with the transport solver noise is to increase the number of particle histories, resulting in very high computational costs. In this contribution, we propose and analyze a sampling estimator based on the law of total variance to compute UQ variance even in the presence of residual noise from Monte Carlo transport calculations. We rigorously derive the statistical properties of the new variance estimator, compare its performance to that of the standard method, and demonstrate its use on neutral particle transport model problems involving both attenuation and scattering physics. We illustrate, both analytically and numerically, the estimator’s statistical performance as a function of available computational budget and the distribution of that budget between UQ samples and particle histories. We show analytically and corroborate numerically that the new estimator is unbiased, unlike the standard approach, and is more accurate and precise than the standard estimator for the same computational budget.}, + journal = {Journal of Quantitative Spectroscopy and Radiative Transfer}, + author = {Clements, Kayla B. and Geraci, Gianluca and Olson, Aaron J. and Palmer, Todd S.}, + year = {2024}, + keywords = {Monte Carlo radiation transport, Stochastic solvers, Uncertainty quantification}, + pages = {108958}, +} +} + @inproceedings{variansyah_mc23_mcdc, Booktitle = {International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering}, title = {Development of {MC/DC}: a performant, scalable, and portable {P}ython-based {M}onte {C}arlo neutron transport code}, @@ -196,4 +211,15 @@ @article{geant4 doi = {10.1016/S0168-9002(03)01368-8}, url = {https://www.sciencedirect.com/science/article/pii/S0168900203013688}, author = {S. Agostinelli and J. Allison and K. Amako and J. Apostolakis and H. Araujo and P. Arce and M. Asai and D. Axen and S. Banerjee and G. Barrand and F. Behner and L. Bellagamba and J. Boudreau and L. Broglia and A. Brunengo and H. Burkhardt and S. Chauvie and J. Chuma and R. Chytracek and G. Cooperman and G. Cosmo and P. Degtyarenko and A. Dell'Acqua and G. Depaola and D. Dietrich and R. Enami and A. Feliciello and C. Ferguson and H. Fesefeldt and G. Folger and F. Foppiano and A. Forti and S. Garelli and S. Giani and R. Giannitrapani and D. Gibin and J.J. {Gómez Cadenas} and I. González and G. {Gracia Abril} and G. Greeniaus and W. Greiner and V. Grichine and A. Grossheim and S. Guatelli and P. Gumplinger and R. Hamatsu and K. Hashimoto and H. Hasui and A. Heikkinen and A. Howard and V. Ivanchenko and A. Johnson and F.W. Jones and J. Kallenbach and N. Kanaya and M. Kawabata and Y. Kawabata and M. Kawaguti and S. Kelner and P. Kent and A. Kimura and T. Kodama and R. Kokoulin and M. Kossov and H. Kurashige and E. Lamanna and T. Lampén and V. Lara and V. Lefebure and F. Lei and M. Liendl and W. Lockman and F. Longo and S. Magni and M. Maire and E. Medernach and K. Minamimoto and P. {Mora de Freitas} and Y. Morita and K. Murakami and M. Nagamatu and R. Nartallo and P. Nieminen and T. Nishimura and K. Ohtsubo and M. Okamura and S. O'Neale and Y. Oohata and K. Paech and J. Perl and A. Pfeiffer and M.G. Pia and F. Ranjard and A. Rybin and S. Sadilov and E. {Di Salvo} and G. Santin and T. Sasaki and N. Savvas and Y. Sawada and S. Scherer and S. Sei and V. Sirotenko and D. Smith and N. Starkov and H. Stoecker and J. Sulkimo and M. Takahata and S. Tanaka and E. Tcherniaev and E. {Safai Tehrani} and M. Tropeano and P. Truscott and H. Uno and L. Urban and P. Urban and M. Verderi and A. Walkden and W. Wander and H. Weber and J.P. Wellisch and T. Wenaus and D.C. Williams and D. Wright and T. Yamada and H. Yoshida and D. Zschiesche}, +} + +@confrence{mcdc:cuneo2024alternative, + title={An Alternative to Stride-Based RNG for Monte Carlo Transport}, + author={Braxton S. Cuneo and Ilham Variansyah}, + year={2024}, + doi = {10.48550/arXiv.2403.06362}, + journal = {Submitted to Transactions of the American Nuclear, Annual meeting 2024}, + eprint={2403.06362}, + archivePrefix={arXiv}, + primaryClass={physics.comp-ph} } \ No newline at end of file diff --git a/docs/paper.md b/docs/paper.md index 33d7e72e..3d6ce273 100644 --- a/docs/paper.md +++ b/docs/paper.md @@ -120,7 +120,7 @@ It can solve k-eigenvalue problems (used to determine neutron population growth It has a novel continuous geometry movement function that models transient elements (e.g., control rods or pulsed neutron experiments) more accurately than the step functions used by other codes. It also supports some simple domain decomposition, with more complex algorithms currently being implemented. -`MC/DC`-enabled explorations into dynamic neutron transport algorithms have been successful, including quasi-Monte Carlo techniques [@mcdc:variansyah_physor22_pct], hybrid iterative techniques for k-eigenvalue simulations [@mcdc:qmc; @mcdc:qmcabs], transient population control techniques [@mcdc:variansyah_nse22_pct], hash-based random number generation, uncertainty and global sensitivity analysis [@mcdc:clements_mc23; mcdc:clements_variance_2024], residual Monte Carlo methods, and machine learning techniques for dynamic node scheduling, among others. +`MC/DC`-enabled explorations into dynamic neutron transport algorithms have been successful, including quasi-Monte Carlo techniques [@mcdc:variansyah_physor22_pct], hybrid iterative techniques for k-eigenvalue simulations [@mcdc:qmc; @mcdc:qmcabs], transient population control techniques [@mcdc:variansyah_nse22_pct], hash-based random number generation [@mcdc:cuneo2024alternative], uncertainty and global sensitivity analysis [@mcdc:clements_mc23; mcdc:clements_variance_2024], residual Monte Carlo methods, and machine learning techniques for dynamic node scheduling, among others. # Future Work diff --git a/examples/c5g7/3d/TDX/input.py b/examples/c5g7/3d/TDX/input.py index 593f9126..93ab9f50 100644 --- a/examples/c5g7/3d/TDX/input.py +++ b/examples/c5g7/3d/TDX/input.py @@ -299,6 +299,10 @@ def set_mat(mat): # Setting mcdc.setting(N_particle=1e2, active_bank_buff=1000) +# small particle count, a more realistic number is 1e7 or higher which +# will require some acceleration to run at those high particle counts +# This is a very hard problem to solve and may also require multiple +# nodes depending on your systems # Run mcdc.run() diff --git a/examples/c5g7/3d/k-eigenvalue/input.py b/examples/c5g7/3d/k-eigenvalue/input.py index dca80622..d9c2cc64 100644 --- a/examples/c5g7/3d/k-eigenvalue/input.py +++ b/examples/c5g7/3d/k-eigenvalue/input.py @@ -297,6 +297,7 @@ def set_mat(mat): # Setting mcdc.setting(N_particle=1e3) + mcdc.eigenmode(N_inactive=50, N_active=150, gyration_radius="all") mcdc.population_control() diff --git a/examples/eigenvalue/2d_c5g7/input.py b/examples/eigenvalue/2d_c5g7/input.py index 078abab9..0abedd26 100644 --- a/examples/eigenvalue/2d_c5g7/input.py +++ b/examples/eigenvalue/2d_c5g7/input.py @@ -181,6 +181,7 @@ def set_mat(mat): # Setting mcdc.setting(N_particle=1e3) + mcdc.eigenmode(N_inactive=10, N_active=30, gyration_radius="infinite-z") mcdc.population_control() From 4d8688f5fa2f9312931d1118d7ae19c9b8dfb7f5 Mon Sep 17 00:00:00 2001 From: "Joanna Piper Morgan (jonsey)" Date: Tue, 26 Mar 2024 15:18:41 -0700 Subject: [PATCH 23/31] fixing 2D plotting issues --- examples/eigenvalue/2d_c5g7/input.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/eigenvalue/2d_c5g7/input.py b/examples/eigenvalue/2d_c5g7/input.py index 0abedd26..b82a8683 100644 --- a/examples/eigenvalue/2d_c5g7/input.py +++ b/examples/eigenvalue/2d_c5g7/input.py @@ -177,7 +177,7 @@ def set_mat(mat): # Tally x_grid = np.linspace(0.0, pitch * 17 * 3, 17 * 3 + 1) y_grid = np.linspace(-pitch * 17 * 3, 0.0, 17 * 3 + 1) -mcdc.tally(scores=["flux"], x=x_grid, y=y_grid) +mcdc.tally(scores=["flux"], x=x_grid, y=y_grid, g='all') # Setting mcdc.setting(N_particle=1e3) From fd555266cee66048d3b735c9d9e5cd43ea6e39d5 Mon Sep 17 00:00:00 2001 From: "Joanna Piper Morgan (jonsey)" Date: Tue, 26 Mar 2024 15:20:03 -0700 Subject: [PATCH 24/31] back in black --- examples/eigenvalue/2d_c5g7/input.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/eigenvalue/2d_c5g7/input.py b/examples/eigenvalue/2d_c5g7/input.py index b82a8683..19e5edd7 100644 --- a/examples/eigenvalue/2d_c5g7/input.py +++ b/examples/eigenvalue/2d_c5g7/input.py @@ -177,7 +177,7 @@ def set_mat(mat): # Tally x_grid = np.linspace(0.0, pitch * 17 * 3, 17 * 3 + 1) y_grid = np.linspace(-pitch * 17 * 3, 0.0, 17 * 3 + 1) -mcdc.tally(scores=["flux"], x=x_grid, y=y_grid, g='all') +mcdc.tally(scores=["flux"], x=x_grid, y=y_grid, g="all") # Setting mcdc.setting(N_particle=1e3) From c621ffa509fce634ab3e6f495fb6e6df2abae06c Mon Sep 17 00:00:00 2001 From: Ilham Variansyah Date: Wed, 27 Mar 2024 09:45:03 -0700 Subject: [PATCH 25/31] Update paper.md Fix citations --- docs/paper.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/paper.md b/docs/paper.md index 3d6ce273..70498629 100644 --- a/docs/paper.md +++ b/docs/paper.md @@ -120,7 +120,7 @@ It can solve k-eigenvalue problems (used to determine neutron population growth It has a novel continuous geometry movement function that models transient elements (e.g., control rods or pulsed neutron experiments) more accurately than the step functions used by other codes. It also supports some simple domain decomposition, with more complex algorithms currently being implemented. -`MC/DC`-enabled explorations into dynamic neutron transport algorithms have been successful, including quasi-Monte Carlo techniques [@mcdc:variansyah_physor22_pct], hybrid iterative techniques for k-eigenvalue simulations [@mcdc:qmc; @mcdc:qmcabs], transient population control techniques [@mcdc:variansyah_nse22_pct], hash-based random number generation [@mcdc:cuneo2024alternative], uncertainty and global sensitivity analysis [@mcdc:clements_mc23; mcdc:clements_variance_2024], residual Monte Carlo methods, and machine learning techniques for dynamic node scheduling, among others. +`MC/DC`-enabled explorations into dynamic neutron transport algorithms have been successful, including quasi-Monte Carlo techniques [@mcdc:qmc], hybrid iterative techniques for k-eigenvalue simulations [@mcdc:qmcabs], population control techniques [@mcdc:variansyah_nse22_pct], hash-based random number generation [@mcdc:cuneo2024alternative], uncertainty and global sensitivity analysis [@mcdc:clements_mc23; @mcdc:clements_variance_2024], residual Monte Carlo methods, and machine learning techniques for dynamic node scheduling, among others. # Future Work From 39f48fd6c1c2ccba22fd8743134af8a69b850972 Mon Sep 17 00:00:00 2001 From: Ilham Variansyah Date: Wed, 27 Mar 2024 10:20:38 -0700 Subject: [PATCH 26/31] Update paper.bib --- docs/paper.bib | 24 ++++++++++++++++++++---- 1 file changed, 20 insertions(+), 4 deletions(-) diff --git a/docs/paper.bib b/docs/paper.bib index c596e014..038708da 100644 --- a/docs/paper.bib +++ b/docs/paper.bib @@ -65,12 +65,29 @@ @inproceedings{mcdc:qmcabs @inproceedings{mcdc:variansyah_physor22_pct, Booktitle = {International Conference on Physics of Reactors}, - title = {An effective initial particle sampling technique for {M}onte {C}arlo reactor transient simulations}, + title = {Performance of Population Control Techniques in Monte Carlo Reactor Criticality Simulation}, year = {2022}, author = {Ilham Variansyah and Ryan G. McClarren}, address = {Pittsburgh, Pennsylvania, USA}, } +@inproceedings{variansyah_mc23_ic, + Booktitle = {International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering}, + title = {An effective initial particle sampling technique for Monte Carlo reactor transient simulations}, + year = {2023}, + author = {Ilham Variansyah and Ryan G. McClarren}, + address = {Niagara Falls, Ontario, Canada}, + doi = {10.48550/arXiv.2305.07646} +} + +@inproceedings{variansyah_mc23_moving_object, + Booktitle = {International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering}, + title = {High-fidelity treatment for object movement in time-dependent Monte Carlo transport simulations}, + year = {2023}, + author = {Ilham Variansyah and Ryan G. McClarren}, + address = {Niagara Falls, Ontario, Canada}, + doi = {10.48550/arXiv.2305.07641} +} @article{mcdc:variansyah_nse22_pct, author = {Ilham Variansyah and Ryan G McClarren}, @@ -95,13 +112,12 @@ @article{mcdc:clements_variance_2024 keywords = {Monte Carlo radiation transport, Stochastic solvers, Uncertainty quantification}, pages = {108958}, } -} @inproceedings{variansyah_mc23_mcdc, Booktitle = {International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering}, title = {Development of {MC/DC}: a performant, scalable, and portable {P}ython-based {M}onte {C}arlo neutron transport code}, year = {2023}, - author = {Ilham Variansyah and Joanna Piper Morgan and Kyle E. Niemeyer and Ryan G. McClarren}, + author = {Ilham Variansyah and Joanna Piper Morgan and Jordan Northrop and Kyle E. Niemeyer and Ryan G. McClarren}, address = {Niagara Falls, Ontario, Canada}, doi = {10.48550/arXiv.2305.07636} } @@ -222,4 +238,4 @@ @confrence{mcdc:cuneo2024alternative eprint={2403.06362}, archivePrefix={arXiv}, primaryClass={physics.comp-ph} -} \ No newline at end of file +} From 830dede3ca98e201eaea66fa4dc2b70a1934452f Mon Sep 17 00:00:00 2001 From: Ilham Variansyah Date: Wed, 27 Mar 2024 10:31:22 -0700 Subject: [PATCH 27/31] Update citations --- docs/paper.md | 7 +++---- 1 file changed, 3 insertions(+), 4 deletions(-) diff --git a/docs/paper.md b/docs/paper.md index 70498629..4df5ad79 100644 --- a/docs/paper.md +++ b/docs/paper.md @@ -113,14 +113,13 @@ Many traditionally developed neutron-transport codes (e.g. `MCNP` [@mcnp], `Shif `MC/DC` is comparable to other open source Monte Carlo neutron-transport apps (e.g. `OpenMC` [@openmc]), however `MC/DC` is an easily installable Python package (with a `pip` distribution) with it's own novel transport methods and features tailored to tackle dynamic transport. This all together makes `MC/DC` ideal for use in an academic environment for both research and education. This is further assisted by the test suite we have developed for unit, regression, verification, and performance tests, which are mostly run using continuous integration via GitHub Actions. -In a code-to-code performance comparison `MC/DC` was found to run about 2.5 times slower then the Shift Monte Carlo code, and showed similar scaling on some systems [@variansyah_mc23_mcdc]. +In an initial code-to-code performance comparison, `MC/DC` was found to run about 2.5 times slower than the Shift Monte Carlo code for a simple problem and showed similar scaling on some systems [@mcdc:variansyah_mc23_mcdc]. `MC/DC` has support for continuous energy and multi-group treatments of the neutron distribution in energy. It can solve k-eigenvalue problems (used to determine neutron population growth rates in reactors) as well as fully dynamic simulations. -It has a novel continuous geometry movement function that models transient elements (e.g., control rods or pulsed neutron experiments) more accurately than the step functions used by other codes. It also supports some simple domain decomposition, with more complex algorithms currently being implemented. -`MC/DC`-enabled explorations into dynamic neutron transport algorithms have been successful, including quasi-Monte Carlo techniques [@mcdc:qmc], hybrid iterative techniques for k-eigenvalue simulations [@mcdc:qmcabs], population control techniques [@mcdc:variansyah_nse22_pct], hash-based random number generation [@mcdc:cuneo2024alternative], uncertainty and global sensitivity analysis [@mcdc:clements_mc23; @mcdc:clements_variance_2024], residual Monte Carlo methods, and machine learning techniques for dynamic node scheduling, among others. +`MC/DC`-enabled explorations into dynamic neutron transport algorithms have been successful, including quasi-Monte Carlo techniques [@mcdc:qmc], hybrid iterative techniques for k-eigenvalue simulations [@mcdc:qmcabs], population control techniques [@mcdc:variansyah_nse22_pct; @mcdc:variansyah_physor22_pct], continuous geometry movement techniques that model transient elements [@mcdc:variansyah_mc23_moving_object] (e.g., control rods or pulsed neutron experiments) more accurately than step functions typically used by other codes, initial condition sampling technique for typical reactor transients [@mcdc:variansyah_mc23_ic], hash-based random number generation [@mcdc:cuneo2024alternative], uncertainty and global sensitivity analysis [@mcdc:clements_mc23; @mcdc:clements_variance_2024], residual Monte Carlo methods, and machine learning techniques for dynamic node scheduling, among others. # Future Work @@ -129,7 +128,7 @@ We currently have operability on Nvidia GPUs (supported via Numba), and work is On GPUs, `MC/DC` will use the `harmonize` asynchronous GPU scheduler to increase performance [@brax2023]. `harmonize` works by batching jobs during execution such that similar operations get executed simultaneously, reducing the divergence between parallel threads running on the GPU. -We will continue to explore novel methods for dynamic neutron transport and will keep pushing to make `MC/DC` not only a proven platform for rapidly exploring neutron-transport methods, but also a fully fledged simulation code for academic and industrial use. +We will continue to explore novel methods for dynamic neutron transport and will keep pushing to make `MC/DC` not only a proven platform for rapidly exploring neutron-transport methods, but also a fully-fledged simulation code for academic and industrial use. # Acknowledgements From d84074925a6d7714ee7ce5991e2b29b5a4fde5a3 Mon Sep 17 00:00:00 2001 From: Ilham Variansyah Date: Wed, 27 Mar 2024 11:04:55 -0700 Subject: [PATCH 28/31] Update paper.md --- docs/paper.md | 11 ++++++----- 1 file changed, 6 insertions(+), 5 deletions(-) diff --git a/docs/paper.md b/docs/paper.md index 4df5ad79..68fb790d 100644 --- a/docs/paper.md +++ b/docs/paper.md @@ -109,15 +109,16 @@ It uses the Numba compiler for Python to compile compute kernels to a desired ha These acceleration and abstraction techniques allow `MC/DC` developers to remain in a pure Python development environment without needing to support compiled or domain-specific languages. This has allowed `MC/DC` to grow from its initialization less than two years ago into a codebase that supports full performant neutron transport and investigation of novel transport algorithms, with development mostly from relative novices. -Many traditionally developed neutron-transport codes (e.g. `MCNP` [@mcnp], `Shift` [@shift], and `MCATK` [@mcatk]) are export-controlled and notoriously difficult to install, use, and develop in. -`MC/DC` is comparable to other open source Monte Carlo neutron-transport apps (e.g. `OpenMC` [@openmc]), however `MC/DC` is an easily installable Python package (with a `pip` distribution) with it's own novel transport methods and features tailored to tackle dynamic transport. +Many traditionally developed neutron-transport codes are export-controlled (e.g. `MCNP` [@mcnp], `Shift` [@shift], and `MCATK` [@mcatk]) and some are known to be difficult to install, use, and develop in. +`MC/DC` is open-source, and thus, similar to other open-source Monte Carlo neutron-transport codes (e.g., `OpenMC` [@openmc]), it promotes knowledge sharing, collaboration, and inclusive, community-driven development. +What makes `MC/DC` unique is that its code base is exclusively written in Python, making it a good method exploration tool and an excellent entry point for students. +Furthermore, `MC/DC` is wrapped as a Python package that can be conveniently installed via the `pip` distribution, and its development is assisted by a suite of unit, regression, verification, and performance tests, which are mostly run using continuous integration via GitHub Actions. This all together makes `MC/DC` ideal for use in an academic environment for both research and education. -This is further assisted by the test suite we have developed for unit, regression, verification, and performance tests, which are mostly run using continuous integration via GitHub Actions. -In an initial code-to-code performance comparison, `MC/DC` was found to run about 2.5 times slower than the Shift Monte Carlo code for a simple problem and showed similar scaling on some systems [@mcdc:variansyah_mc23_mcdc]. -`MC/DC` has support for continuous energy and multi-group treatments of the neutron distribution in energy. +`MC/DC` has support for continuous and multi-group energy neutron transport physics with constructive solid geometry modeling. It can solve k-eigenvalue problems (used to determine neutron population growth rates in reactors) as well as fully dynamic simulations. It also supports some simple domain decomposition, with more complex algorithms currently being implemented. +In an initial code-to-code performance comparison, `MC/DC` was found to run about 2.5 times slower than the Shift Monte Carlo code for a simple problem and showed similar scaling on some systems [@mcdc:variansyah_mc23_mcdc]. `MC/DC`-enabled explorations into dynamic neutron transport algorithms have been successful, including quasi-Monte Carlo techniques [@mcdc:qmc], hybrid iterative techniques for k-eigenvalue simulations [@mcdc:qmcabs], population control techniques [@mcdc:variansyah_nse22_pct; @mcdc:variansyah_physor22_pct], continuous geometry movement techniques that model transient elements [@mcdc:variansyah_mc23_moving_object] (e.g., control rods or pulsed neutron experiments) more accurately than step functions typically used by other codes, initial condition sampling technique for typical reactor transients [@mcdc:variansyah_mc23_ic], hash-based random number generation [@mcdc:cuneo2024alternative], uncertainty and global sensitivity analysis [@mcdc:clements_mc23; @mcdc:clements_variance_2024], residual Monte Carlo methods, and machine learning techniques for dynamic node scheduling, among others. From 2abcfdb779300b2c85b7567963c4425cb25b4e10 Mon Sep 17 00:00:00 2001 From: Kayla Clements Date: Wed, 27 Mar 2024 13:15:59 -0700 Subject: [PATCH 29/31] Edit input_.py for consistency --- mcdc/input_.py | 375 ++++++++++++++++++++++++++----------------------- 1 file changed, 198 insertions(+), 177 deletions(-) diff --git a/mcdc/input_.py b/mcdc/input_.py index 4752633e..ec409d61 100644 --- a/mcdc/input_.py +++ b/mcdc/input_.py @@ -1,7 +1,7 @@ """ This module contains functions for setting MC/DC input deck. The input deck class is defined in `card.py` and instantiated in `global_.py`. -Note docstring are numpy typed +Docstrings use NumPy formatting. """ import h5py, math, mpi4py, os @@ -62,7 +62,7 @@ def nuclide( Parameters ---------- capture : numpy.ndarray (1D), optional - Capture microscopic cross-section [barn] + Capture microscopic cross-section [barn]. scatter : numpy.ndarray (2D), optional Differential scattering microscopic cross-section [gout, gin] [barn]. fission : numpy.ndarray (1D), optional @@ -74,23 +74,23 @@ def nuclide( nu_d : numpy.ndarray (2D), optional Delayed neutron precursor yield [dg, gin]. chi_p : numpy.ndarray (2D), optional - Prompt fission spectrum [gout, gin] + Prompt fission spectrum [gout, gin]. chi_d : numpy.ndarray (2D), optional - Delayed neutron spectrum [gout, dg] + Delayed neutron spectrum [gout, dg]. speed : numpy.ndarray (1D), optional - Energy group speed [cm/s] + Energy group speed [cm/s]. decay : numpy.ndarray (1D), optional - Precursor group decay constant [/s] + Precursor group decay constant [/s]. sensitivity : bool, optional - Set to `True` to calculate sensitivities to the nuclide + Set to `True` to calculate sensitivities to the nuclide. dsm_Np : float Average number of derivative particles produced at each - sensitivity nuclide collision + sensitivity nuclide collision. Returns ------- dictionary - A nuclide card + A nuclide card. Notes ----- @@ -245,9 +245,9 @@ def material( Parameters ---------- nuclides : list of tuple of (dictionary, float), optional - List of pairs of nuclide card and its density [/barn-cm] + List of pairs of nuclide card and its density [/barn-cm]. capture : numpy.ndarray (1D), optional - Capture macroscopic cross-section [/cm] + Capture macroscopic cross-section [/cm]. scatter : numpy.ndarray (2D), optional Differential scattering macroscopic cross-section [gout, gin] [/cm]. fission : numpy.ndarray (1D), optional @@ -259,24 +259,24 @@ def material( nu_d : numpy.ndarray (2D), optional Delayed neutron precursor yield [dg, gin]. chi_p : numpy.ndarray (2D), optional - Prompt fission spectrum [gout, gin] + Prompt fission spectrum [gout, gin]. chi_d : numpy.ndarray (2D), optional - Delayed neutron spectrum [gout, dg] + Delayed neutron spectrum [gout, dg]. speed : numpy.ndarray (1D), optional - Energy group speed [cm/s] + Energy group speed [cm/s]. decay : numpy.ndarray (1D), optional - Precursor group decay constant [/s] + Precursor group decay constant [/s]. sensitivity : bool, optional Set to `True` to calculate sensitivities to the material - (only relevant for single-nuclide material) + (only relevant for single-nuclide material). dsm_Np : float Average number of derivative particles produced at each - sensitivity material collision (only relevant for single_nuclide material) + sensitivity material collision (only relevant for single_nuclide material). Returns ------- dictionary - A material card + A material card. See also -------- @@ -432,10 +432,10 @@ def surface(type_, bc="interface", sensitivity=False, dsm_Np=1.0, **kw): bc : {'interface', 'vacuum', 'reflective'} Surface boundary condition. sensitivity : bool, optional - Set to `True` to calculate sensitivities to the nuclide + Set to `True` to calculate sensitivities to the nuclide. dsm_Np : int Average number of derivative particles produced at each - sensitivity surface crossing + sensitivity surface crossing. Other Parameters ---------------- @@ -465,7 +465,7 @@ def surface(type_, bc="interface", sensitivity=False, dsm_Np=1.0, **kw): See also -------- - mcdc.cell : SurfaceHandle is used to define cell domain + mcdc.cell : SurfaceHandle is used to define cell domain. """ # Make surface card card = make_card_surface() @@ -658,20 +658,26 @@ def _set_J(x, t, card): def cell(surfaces_flags, fill, lattice_center=None): """ - Defines a cell as a building block of geometry + Define a cell as a building block of geometry. Parameters ---------- - surfaces_flags : bool - list of surface cards - fill : bool - fill the cells - lattice_center : array like[float], optional - defines the center of the lattice, by default None + surfaces_flags : list of SurfaceHandle + List of surfaces that contain the cell. + fill : dictionary + Material that fills the cell. + lattice_center : array_like[float], optional + Defines the center of the lattice (default None, implies no lattice). Returns ------- - cell card : dictionary + dictionary + A cell card. + + See also + -------- + mcdc.surface : Creates SurfaceHandle used to define cell domain. + mcdc.material : Defines material used to fill cell. """ N_surface = len(surfaces_flags) @@ -703,19 +709,23 @@ def cell(surfaces_flags, fill, lattice_center=None): def universe(cells, root=False): """ - Defines the region where particles will be tracked + Define the region where particles will be tracked. Parameters ---------- - cells : dictionary - cell card descriptions + cells : list of dictionary + List of cells that comprise the universe. root : bool, optional - by default False + Defines whether the universe is the root universe (default False). Returns ------- dictionary - universe + A universe card. + + See also + -------- + mcdc.cell : Creates cells used to define universe. """ N_cell = len(cells) @@ -741,23 +751,23 @@ def universe(cells, root=False): def lattice(x=None, y=None, z=None, universes=None): """ - Create a lattice card + Create a lattice card. Parameters ---------- - x : array like, optional - x[float], by default None - y : array like, optional - y[float], by default None - z : array like, optional - z[float], by default None - universes : dictionary, optional - d, by default None + x : array_like[float], optional + x-coordinates that define the lattice mesh (default None). + y : array_like[float], optional + y-coordinates that define the lattice mesh (default None). + z : array_like[float], optional + z-coordinates that define the lattice mesh (default None). + universes : list of (list of dictionary), optional + List of lists of universe cards that fill the lattice (default None). Returns ------- dictionary - lattice card + Lattice card. """ # Make lattice card card = make_card_lattice() @@ -801,7 +811,7 @@ def lattice(x=None, y=None, z=None, universes=None): def source(**kw): """ - Create a source card + Create a source card. Other Parameters ---------------- @@ -814,7 +824,7 @@ def source(**kw): z : array_like [z_min and z_max] for uniform source. isotropic : bool - Flag for isotropic source + Flag for whether source is isotropic. direction : array_like [ux, uy, uz] unit vector for parallel beam source. white_direction : array_like @@ -832,9 +842,9 @@ def source(**kw): Returns ------- dictionary - A source card + A source card. """ - # Check the suplied keyword arguments + # Check the supplied keyword arguments for key in kw.keys(): check_support( "source parameter", @@ -951,32 +961,33 @@ def tally( E=np.array([0.0, INF]), ): """ - Creates a tally card to collect MC solutions + Create a tally card to collect MC solutions. Parameters ---------- - scores : str - set tally type, default to tracklength - x : array like [float], optional - define x-spatial tally bins, by default np.array([-INF, INF]) - y : array like [float], optional - define y-spatial tally bins, by default np.array([-INF, INF]) - z : array like [float], optional - define z-spatial tally bins, by default np.array([-INF, INF]) - t : array like [float], optional - define time tally bins, by default np.array([-INF, INF]) - mu : array like [float], optional - define axial angular tally bins, by default np.array([-1.0, 1.0]) - azi : array like [float], optional - define azimuthal angle tally bins, by default np.array([-PI, PI]) - g : array like [float], optional - tally group, define an energy band to tally in, by default np.array([-INF, INF]) - E : array like [float], optional - _description_, by default np.array([0.0, INF]) + scores : list of str + List of tally types (default ["tracklength"]). + x : array_like[float], optional + x-coordinates that demarcate tally bins (default numpy.ndarray([-INF, INF])). + y : array_like[float], optional + y-coordinates that demarcate tally bins (default numpy.ndarray([-INF, INF])). + z : array_like[float], optional + z-coordinates that demarcate tally bins (default numpy.ndarray([-INF, INF])). + t : array_like[float], optional + Times that demarcate tally bins (default numpy.ndarray([-INF, INF])). + mu : array_like[float], optional + Angles that demarcate axial angular tally bins (default numpy.ndarray([-1.0, 1.0])). + azi : array_like[float], optional + Angles that demarcate azimuthal angular tally bins (default numpy.ndarray([-1.0, 1.0])). + g : array_like[float], optional + Energies that demarcate energy tally bins (default numpy.ndarray([-INF, INF])). + E : array_like[float], optional + Continuous energy functionality, (default numpy.ndarray([0.0, INF])). Returns ------- - tally card : dictionary + dictionary + A tally card. """ # Get tally card @@ -1026,39 +1037,39 @@ def setting(**kw): Other Parameters ---------------- N_particle : int - Number of MC particle histories to run (for k-eigen and iQMC its /iteration) + Number of MC particle histories to run (for k-eigen and iQMC its /iteration). N_batch : int - Number of batches to run + Number of batches to run. rng_seed : int - Random number seed + Random number seed. time_boundary : float - the time edge of the problem after which all particles will be killed + The time edge of the problem, after which all particles will be killed. progress_bar : bool - display the progress bar (disable when running MC/DC in a loop) + Whether to display the progress bar (default True; disable when running MC/DC in a loop). output_name : str - Name of the output file MC/DC should save data in, default is output.h5 + Name of the output file MC/DC should save data in (default "output.h5"). save_input_deck : bool - toggle to save the input deck + Whether to save the input deck information to the output file (default False). particle_tracker : bool - true will track the paths of all individual particle histories, memory issues abound + Whether to track paths of all individual particles histories, memory issues abound (default False). k_eff : str - toggle true to run a k-eigen problem + Whether to run a k-eigenvalue problem. source_file : str - specify a source file path and name + Source file path and name. IC_file : str - path to a file containing a description of an initial condition as a file + Path to a file containing a description of an initial condition. active_bank_buff : int - size of the activate particle bank buffer, for MPI runs + Size of the activate particle bank buffer, for MPI runs. census_bank_buff : int - sets size of the census buffer particle bank + Sets size of the census buffer particle bank. Returns ------- dictionary - A setting card + A setting card. """ - # Check the suplied keyword arguments + # Check the supplied keyword arguments for key in kw.keys(): check_support( "setting parameter", @@ -1175,25 +1186,25 @@ def eigenmode( N_inactive=0, N_active=0, k_init=1.0, gyration_radius=None, save_particle=False ): """ - Creates an eigenmode card + Create an eigenmode card. Parameters ---------- N_inactive : int - Number of inactive cycles to settle k + Number of cycles not included when averaging the k-eigenvalue (default 0). N_active : int - Number of active cycles to collect statistics and inform the value of k + Number of cycles to include for statistics of the k-eigenvalue (default 0). k_init : float - an initial k value - gyration_radius : float - specify a gyration radius + Initial k value to iterate on (default 1.0). + gyration_radius : float, optional + Specify a gyration radius (default None). save_particle : bool - toggle to save particle track outputs in a tally mesh + Whether particle track outputs in a tally mesh (default False). Returns ------- dictionary - A eigen mode card + A eigenmode card. """ # Update setting card @@ -1237,7 +1248,7 @@ def eigenmode( def implicit_capture(): """ - Sets implicit capture + Activate implicit capture (implies no weighted emission). """ card = mcdc.input_deck.technique card["implicit_capture"] = True @@ -1246,12 +1257,12 @@ def implicit_capture(): def weighted_emission(flag): """ - Sets weighted emission variance reduction + Activate weighted emission variance reduction technique. Parameters ---------- flag : bool - toggle weighted emission on or off + True to activate weighted emission. """ card = mcdc.input_deck.technique @@ -1260,12 +1271,12 @@ def weighted_emission(flag): def population_control(pct="combing"): """ - Sets population control techniques + Set population control techniques. Parameters ---------- pct : str, optional - population control method, by default "combing" + Population control method (default "combing"). """ card = mcdc.input_deck.technique @@ -1281,7 +1292,7 @@ def population_control(pct="combing"): def branchless_collision(): """ - Sets branchless collision variance reduction technique + Activate branchless collision variance reduction technique (implies no weighted emission). """ card = mcdc.input_deck.technique card["branchless_collision"] = True @@ -1290,16 +1301,16 @@ def branchless_collision(): def time_census(t): """ - Sets a time + Set time-census boundaries. Parameters ---------- - t : array like [float] - set the time census boundaries + t : array_like[float] + The time-census boundaries. Returns ------- - Card alterations. + None (in-place card alterations). """ # Remove census beyond the final tally time grid point @@ -1320,26 +1331,26 @@ def time_census(t): def weight_window(x=None, y=None, z=None, t=None, window=None, width=None): """ - Adds weight window variance reduction technique + Activate weight window variance reduction technique. Parameters ---------- - x : array like[float], optional - location of the weight window in x, by default None - y : array like[float], optional - location of the weight window in y, by default None - z : array like[float], optional - location of the weight window in z, by default None - t : array like[float], optional - location of the weight window in t, by default None - window : array like[float], optional - bound of the statistic weight of the window, by default None - width : array like[float], optional - statistical width the window will apply, by default None + x : array_like[float], optional + Location of the weight window in x (default None). + y : array_like[float], optional + Location of the weight window in y (default None). + z : array_like[float], optional + Location of the weight window in z (default None). + t : array_like[float], optional + Location of the weight window in t (default None). + window : array_like[float], optional + Bound of the statistic weight of the window (default None). + width : array_like[float], optional + Statistical width the window will apply (default None). Returns ------- - Card alterations. + A weight window card. """ card = mcdc.input_deck.technique @@ -1407,68 +1418,68 @@ def iQMC( score=[], ): """ - Sets iQMC settings + Set iQMC settings. Parameters ---------- - g : _type_, optional - group, by default None - t : _type_, optional - time, by default None - x : _type_, optional - _description_, by default None - y : _type_, optional - _description_, by default None - z : _type_, optional - _description_, by default None - phi0 : _type_, optional - _description_, by default None - source0 : _type_, optional - _description_, by default None - source_x0 : _type_, optional - _description_, by default None - source_y0 : _type_, optional - _description_, by default None - source_z0 : _type_, optional - _description_, by default None - source_xy0 : _type_, optional - _description_, by default None - source_xz0 : _type_, optional - _description_, by default None - source_yz0 : _type_, optional - _description_, by default None - source_xyz0 : _type_, optional - _description_, by default None - fission_source0 : _type_, optional - _description_, by default None - krylov_restart : _type_, optional - _description_, by default None - fixed_source : _type_, optional - _description_, by default None + g : array_like[float], optional + Energy values that define energy mesh (default None). + t : array_like[float], optional + Time values that define time mesh (default None). + x : array_like[float], optional + x-coordinates that define spacial mesh (default None). + y : array_like[float], optional + y-coordinates that define spacial mesh (default None). + z : array_like[float], optional + z-coordinates that define spacial mesh (default None). + phi0 : array_like[float], optional + Initial scalar flux (default None). + source0 : array_like[float], optional + Initial particle source (default None). + source_x0 : array_like[float], optional + Initial source for tilt-x (default None). + source_y0 : array_like[float], optional + Initial source for tilt-y (default None). + source_z0 : array_like[float], optional + Initial source for tilt-z (default None). + source_xy0 : array_like[float], optional + Initial source for tilt-xy (default None). + source_xz0 : array_like[float], optional + Initial source for tilt-xz (default None). + source_yz0 : array_like[float], optional + Initial source for tilt-yz (default None). + source_xyz0 : array_like[float], optional + Initial source for tilt-xyz (default None). + fission_source0 : array_like[float], optional + Initial fission source (default None). + krylov_restart : int, optional + Max number of iterations for Krylov iteration (default same as maxitt). + fixed_source : array_like[float], optional + Fixed source (default same as phi0). scramble : bool, optional - _description_, by default False + Whether to scramble (default False, implies over-easy). maxitt : int, optional - _description_, by default 25 - tol : _type_, optional - _description_, by default 1e-6 + Maximum number of iterations allowed before termination (default 25). + tol : float, optional + Convergence tolerance (default 1e-6). N_dim : int, optional - _description_, by default 6 + Problem dimensionality (default 6). seed : int, optional - _description_, by default 12345 + Random number seed (default 12345). preconditioner_sweeps : int, optional - _description_, by default 5 + Number of preconditioner sweeps (default 5). generator : str, optional - _description_, by default "halton" + Low-discrepancy sequence generator (default "halton"). fixed_source_solver : str, optional - _description_, by default "source_iteration" + Deterministic solver for fixed-source problem (default "source_iteration"). eigenmode_solver : str, optional - _description_, by default "power_iteration" - score : list, optional - _description_, by default [] + Solver for k-eigenvalue problem (default "power_iteration"). + score : list of str + List of tally types (default empty list). Returns ------- - iqmc card : dictionary + None (in-place card alterations). """ card = mcdc.input_deck.technique @@ -1573,19 +1584,21 @@ def iQMC( def weight_roulette(w_threshold=0.2, w_survive=1.0): """ + Activate weight roulette technique. + If neutron weight is below `w_threshold`, then enter weight roulette technique with survival weight `w_survive`. Parameters ---------- - w_threshold : weight_roulette() is called on a particle if - P['w'] <= wr_threshold - w_survive : survival weight + w_threshold : float + Weight_roulette() is called on a particle if P['w'] <= wr_threshold. + w_survive : float + Weight of surviving particle. Returns ------- - Card alterations. - + None (in-place card alterations). """ card = mcdc.input_deck.technique card["weight_roulette"] = True @@ -1603,16 +1616,17 @@ def IC_generator( max_precursor_density=None, ): """ - Turn on initial condition generator, which samples initial neutrons and precursors - during an eigenvalue simulation. + Activate initial condition generator. + The initial condition generator samples initial neutrons and precursors + during an eigenvalue simulation. Parameters ---------- N_neutron : int - Neutron target size + Neutron target size. N_precursor : int - Delayed neutron precursor target size + Delayed neutron precursor target size. cycle_stretch : float Factor to stretch number of cycles. Higher cycle stretch reduces inter-cycle correlation. @@ -1620,6 +1634,10 @@ def IC_generator( Total and maximum neutron density, required if `N_neutron` > 0. precursor_density, max_precursor_density : float Total and maximum precursor density, required if `N_precursor` > 0. + + Returns + ------- + None (in-place card alterations). """ # Turn on eigenmode and population control @@ -1684,17 +1702,20 @@ def dsm(order=1): def uq(**kw): """ - Set uncertainty quantification + Activate uncertainty quantification. Other Parameters ---------------- - w_threshold : weight_roulette() is called on a particle if - P['w'] <= wr_threshold - w_survive : survival weight + material : dictionary, optional + Material card of material with uncertain parameters. + nuclide : dictionary, optional + Nuclear card of nuclide with uncertain parameters. + distribution : {"uniform"} + Probability distribution of uncertain parameters. Returns ------- - Card alterations. + None (in-place card alterations). """ def append_card(delta_card, global_tag): From a4b0a75c7f40ae0a634eddab4640893f88c795af Mon Sep 17 00:00:00 2001 From: Kayla Clements Date: Wed, 27 Mar 2024 15:39:52 -0700 Subject: [PATCH 30/31] Update paper.bib --- docs/paper.bib | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/docs/paper.bib b/docs/paper.bib index 038708da..7a046307 100644 --- a/docs/paper.bib +++ b/docs/paper.bib @@ -65,7 +65,7 @@ @inproceedings{mcdc:qmcabs @inproceedings{mcdc:variansyah_physor22_pct, Booktitle = {International Conference on Physics of Reactors}, - title = {Performance of Population Control Techniques in Monte Carlo Reactor Criticality Simulation}, + title = {Performance of Population Control Techniques in {M}onte {C}arlo Reactor Criticality Simulation}, year = {2022}, author = {Ilham Variansyah and Ryan G. McClarren}, address = {Pittsburgh, Pennsylvania, USA}, @@ -73,7 +73,7 @@ @inproceedings{mcdc:variansyah_physor22_pct @inproceedings{variansyah_mc23_ic, Booktitle = {International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering}, - title = {An effective initial particle sampling technique for Monte Carlo reactor transient simulations}, + title = {An effective initial particle sampling technique for {M}onte {C}arlo reactor transient simulations}, year = {2023}, author = {Ilham Variansyah and Ryan G. McClarren}, address = {Niagara Falls, Ontario, Canada}, @@ -82,7 +82,7 @@ @inproceedings{variansyah_mc23_ic @inproceedings{variansyah_mc23_moving_object, Booktitle = {International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering}, - title = {High-fidelity treatment for object movement in time-dependent Monte Carlo transport simulations}, + title = {High-fidelity treatment for object movement in time-dependent {M}onte {C}arlo transport simulations}, year = {2023}, author = {Ilham Variansyah and Ryan G. McClarren}, address = {Niagara Falls, Ontario, Canada}, @@ -124,7 +124,7 @@ @inproceedings{variansyah_mc23_mcdc @article{brax2023, author = {Cuneo, Braxton and Bailey, Mike}, - title = {Divergence Reduction in Monte Carlo Neutron Transport with On-GPU Asynchronous Scheduling}, + title = {Divergence Reduction in {M}onte {C}arlo Neutron Transport with On-{GPU} Asynchronous Scheduling}, year = {2023}, publisher = {Association for Computing Machinery}, address = {New York, NY, USA}, @@ -209,7 +209,7 @@ @article{openmc organization = {UT-Battelle LLC/ORNL, Oak Ridge, TN (Unted States)}, pages = {274-281}, publisher = {Elsevier Ltd}, - title = {The OpenMC Monte Carlo particle transport code}, + title = {The {OpenMC} {M}onte {C}arlo particle transport code}, volume = {51}, year = {2013}, } @@ -230,7 +230,7 @@ @article{geant4 } @confrence{mcdc:cuneo2024alternative, - title={An Alternative to Stride-Based RNG for Monte Carlo Transport}, + title={An Alternative to Stride-Based RNG for {M}onte {C}arlo Transport}, author={Braxton S. Cuneo and Ilham Variansyah}, year={2024}, doi = {10.48550/arXiv.2403.06362}, From cbd9f553c1a9adee9dfd53b68ccf1b516bf41c0f Mon Sep 17 00:00:00 2001 From: Kayla Clements Date: Wed, 27 Mar 2024 15:44:28 -0700 Subject: [PATCH 31/31] Update user.rst --- docs/source/user.rst | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/source/user.rst b/docs/source/user.rst index 555bad2a..bb25f7ac 100644 --- a/docs/source/user.rst +++ b/docs/source/user.rst @@ -226,7 +226,7 @@ Using MPI MC/DC can be executed using MPI with or without Numba acceleration. If ``numba-mode`` is enabled the ``jit`` compilation, which is executed on all threads, can take between 30s-2min. For smaller problems, Numba compilation time could exceed runtime, and pure python mode could be preferable. -Below, ``--mode`` can equal python or numba. MC/DC gets MPI functinoality via `mpi4py `_. +Below, ``--mode`` can equal python or numba. MC/DC gets MPI functionality via `mpi4py `_. As an example, to run on 36 processes in Numba mode with `SLURM `_: .. code-block:: python3