From 7b6c4e55180ae6ce491d8e876d7b6c49a10d6a73 Mon Sep 17 00:00:00 2001 From: Mori Compute Machine Date: Thu, 28 Jan 2016 20:56:44 -0800 Subject: [PATCH 1/7] Python skeleton codes --- serial/python_pic2/Pic2.py | 210 +++++++++++++++++++++++ serial/python_pic2/disp.png | Bin 0 -> 590469 bytes serial/python_pic2/push.py | 322 ++++++++++++++++++++++++++++++++++++ 3 files changed, 532 insertions(+) create mode 100644 serial/python_pic2/Pic2.py create mode 100644 serial/python_pic2/disp.png create mode 100644 serial/python_pic2/push.py diff --git a/serial/python_pic2/Pic2.py b/serial/python_pic2/Pic2.py new file mode 100644 index 0000000..4e57e03 --- /dev/null +++ b/serial/python_pic2/Pic2.py @@ -0,0 +1,210 @@ +#------------------- +#Skeleton 2D Electrostatic PIC code +# written by Thamine Dalichaouch, Viktor K. Decyk, Adam Tableman, and Qiyang Hu, UCLA +import numpy as np +import math +from push import * +import time +import matplotlib.pyplot as plt +int_type = np.int32 +double_type = np.float64 +float_type = np.float32 +complex_type = np.complex64 + +def main(): + #----- Same format as other Skeleton Codes written by Viktor Decyk ----- + + #number of cells in each direction-- nx = 2^indx + indx = 8; indy=8 + #indx = 3; indy=3 + #number of particles in each direction + #npx = 2024; npy = 2024 + npx = 500;npy = 500 + #ndim = number dimensions + ndim =2 + #tend = time at end of plasma simulation in units of plasma freq. + #dt = time interval + #qme = electron charge in units of |e| + tend =1000.0; dt = 0.1; qme = -1 + #vtx/vty are thermal velocities + #vx0/vy0 are drift velocities + vtx = 4.0; vty = 4.0; vx0 = 0; vy0 = 0; + # ax/ay = smoothed particle size in x/y direction + ax = .912871; ay = .912871 + ax = 0 + ay = 0 + # idimp = number of particle coordinates = 4 + # ipbc = particle boundary condition: 1 = periodic, 2 = reflecting + # sortime = number of time steps between standard electron sorting + idimp = 4; ipbc = 2; sortime = 50 + # wke/we/wt = particle kinetic/electric field/total energy + wke = np.zeros((1),float_type) + we = np.zeros((1),float_type) + wt = np.zeros((1),float_type) + + # declare and initialize timing data + itime = np.empty((4),int_type) + tdpost = 0.0; tguard = 0.0; tfft = 0.0; tfield = 0.0 + tpush = 0.0; tsort = 0.0 + dtime = np.empty((1),double_type) + + # initialize scalars for standard code + # nptot = total number of particles in simulation + # nx/ny = number of grid points in x/y direction + nptot = npx*npy; nx = int(math.pow(2,indx)); ny = int(math.pow(2,indy)) + + # nyquist frequencies + nxh = int(nx/2); nyh = max(1,int(ny/2)) + + #guard cell definitions; do not change guard cells + nxe = nx + 2; nye = ny + 2; + + + # nloop = number of time steps in simulation + # ntime = current time step + nloop = int(tend/dt +0.001); ntime = 0 + + phi = np.empty((nloop,nxh,nyh),complex_type) + phi.fill(0.0) + #extra params + qbme = qme + + # inverse particles per cell normalizing factor + affp = float(nx*ny)/nptot + + # allocate data for code + # part, part2 = particle arrays + part = np.empty((idimp,nptot),float_type,'C') + if(sortime>0): + part2 = np.empty((idimp,nptot),float_type,'C') + + # electron charge density with guard cells + qe = np.empty((nxe,nye),float_type,'C') + qe2 = np.empty((nxe,nye),float_type,'C') + + # wavenumbers (ndim,kx,ky) for fourier analysis + kvector = np.empty((ndim,nxe,nye),complex_type,'C') + kvector.fill(0.0) + + #fft electron charge density + qe_fft = np.empty((nxe,nye),complex_type,'C') + + # smoothed electric field with guard cells in fourier space + fxye = np.empty((ndim,nxe,nye),complex_type,'C') + + # smoothed electric field with guard cells in real space + fxyre = np.empty((ndim,nxe,nye),float_type,'C') + + # form factor array for poisson solver + ffc = np.empty((nxe,nye),complex_type,'C') + ffc.fill(0.0) + + #form factor array do this once + form_factor(ffc,nx,ny,nxh,nyh,affp,ax,ay,kvector) + + #initialize particle velocities and + init_particles(part,vtx,vty,vx0,vy0,npx,npy,idimp,nptot,nx,ny,ipbc) + + #main loop + for ntime in xrange(0,nloop): + print ntime + #zero matrices + fxye.fill(0.0) + qe.fill(0.0) + fxyre.fill(0.0) + qe_fft.fill(0.0) + + #deposit charge + t = time.time() + deposit2(part,qe,qme,nptot,idimp,nxe,nye) + tdpost += time.time() - t + + + #add guard cells + t = time.time() + guard_cells(qe,nx,ny,nxe,nye) + tguard += time.time() - t + + + #charge to fourier space! + t = time.time() + fourier_rho(qe_fft,qe,nx,ny) + tfft += time.time() - t + + + #calculate field in fourier space + t = time.time() + fourier_force(qe_fft,fxye,ffc,nx,ny,nxh,nyh,we,kvector) + tfield += time.time()-t + np.copyto(phi[ntime,:,:],fxye[0,:nxh,:nyh]) + + #force to real space, updates fxye + t = time.time() + real_force(fxyre,fxye,nx,ny,nxe,nye) + tfft += time.time() -t + + t = time.time() + guard_force(fxyre,nx,ny) + tguard += time.time()-t + + + #push particles updates part,wke + wke[0] = 0.0 + t = time.time() + push_particles(part,fxyre,qbme,nx,ny,dt,wke,ipbc,nptot,ndim) + tpush += time.time() -t + if(sortime > 0): + if(ntime%sortime == 0): + t = time.time() + #sort by y axis + part = part[:,np.argsort(part[1,:])] + tsort = tsort + time.time() -t + + if (ntime<1): + print "Initial Field, Kinetic and Total Energies:" + print "%14.7e %14.7e %14.7e" % (we, wke, wke + we) + + + + + print "ntime = ", ntime + print "Final Field, Kinetic and Total Energies:" + print "%14.7e %14.7e %14.7e" % (we, wke, wke + we) + + print "" + print "deposit time = ", tdpost + print "guard time = ", tguard + print "solver time = ", tfield + print "fft time = ", tfft + print "push time = ", tpush + tfield = tfield + tguard + tfft + print "sort time = ", tsort + print "total solver time = ", tfield + par_time = tdpost + tpush + tsort + print "total particle time = ", par_time + wt = par_time + tfield + print "total time = ", wt + print "" + + #diagnostics for code to view a plot of the disperion relation for Ex + # default set to false + print_diagnostics = True + + if(print_diagnostics): + plt.figure(1,figsize=(12,6)) + freq_start = 0.3 + freq_end = 7 + fx_st = int(freq_start*dt*nloop/(2*np.pi)) + fx_end = int(freq_end*dt*nloop/(2*np.pi)) + print fx_st,fx_end + freq_start = (2*np.pi/(dt*nloop))*fx_st + freq_end = (2*np.pi/(dt*nloop))*fx_end + plt.imshow(np.abs(np.fft.fft(phi[:,:,1],axis=0)[fx_st:fx_end,:]),origin ='lower',extent=[0,np.pi,freq_start,freq_end]) + #plt.axis([0,np.pi, freq_start,freq_end]) + plt.colorbar() + plt.savefig('disp',dpi = 400,bbox_inches = 'tight') + + #plt.show() + +if __name__ == "__main__": + main() \ No newline at end of file diff --git a/serial/python_pic2/disp.png b/serial/python_pic2/disp.png new file mode 100644 index 0000000000000000000000000000000000000000..32a01470addacbbb0c34fdfed514f29a3b6d0d5c GIT binary patch literal 590469 zcmeFYhd+Vn#RYgUL*1A!&=3QG+bVMUWD=`|vZA+}Xt-WG~n6+B1q^Xdo z5$?A3-dnVY9V&Rv<5vg_Y7kU2FKQG*Qr|$19(QezS@*!mo9&o+kU&?qIP92T>STip7Ylgf4@b%t0eBs?+ac!%_hI!vOw^j!~Z_;@X_Pu z3Ov6r%!ei7{y&l~Y8$HjKN9}mF8oJB3{~DrtNtUrT*G#)So~1M_kdLs$eylV>wp*z z|E`rJ7kmMH&vt(?xLIW9vxs!T5`WE)P-diAfSsuQ@7mTxDoISN_!DQsCv@z0t#!F2 zC4+OU_fj3-2vWc`d8wu}!vPq-Ix)UWyuV*3Epl)j;av79_U1~CKkmP1z~k}oY~DQWr!trPb8b0Hn=|wo{zK){mb27awJRUoV}M2xdyq zDWk5V8^Z^i@z6};am`k{TMK4)2qPn@@H++I`=1iG?rN^#I-6>DT5BVknjg2(IrpeL zbh)=r|I2qAxxV(w+Ou70+1Jv>yZ@@#?_9?BzreI!Oc2@mcFJS9Vzwo4bG&?UZQkqV zY^G=2RSonbN_jc|C86JcA}wd#EDcx*-e=RRCU!qWECoJl;I*{A`}x28&xPbRfXB}t z&o--$pSsW{_q(S#4VG8la~JR(a}Uo9-rK6ulrr`B9?IV`tF^zS7ozw3zDa#MP60+``h9f*KhmKbnoM;6fS4IK%$vZK2ft+dO$m;|IpWI$iy}_6E%a2 zJ`?l%!$JSVLYsHqnFZdfS&emzXrgKT+l+D)dCY?KdG3CQ-dquq$O2rH8yQib8Bz2 zRu14VlHyKJv3&67@AhH%GB%|xoKwW7wu;#zHGBELTsvM?@CMGUilMy4uHE;?nTT@| zpt7Sm`&&7w5?Wi$(H9c_i@}$%$!*;tJ8FJEzWx7Y?J%|XW8y%s);iS84)tnzD`27~ z&|@~sx8=aV`TkqZcs{}M#H}fj{ZBgw&#j7B+I! 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z8vfn8xI_EY|LaFEiUnnPFz{#hkgdE=x7SXLRS+Ng_X7=yjp*}}sww)wNL8_-k1vP9 vH=xh9gOcb26Jfj=ecTHEhCcrP{N)W2Ub_eaKg&sI22{^$Dt|n8>*0R^qUG#x literal 0 HcmV?d00001 diff --git a/serial/python_pic2/push.py b/serial/python_pic2/push.py new file mode 100644 index 0000000..21bab64 --- /dev/null +++ b/serial/python_pic2/push.py @@ -0,0 +1,322 @@ +import numpy as np +import math +import time +from numpy import vectorize +pi2 = 2*np.pi +float_type = np.float32 +double_type = np.float64 + + + +#form factor for poisson equation +def form_factor(ffc,nx,ny,nxh,nyh,affp,ax,ay,kvector): + dnx = pi2/float(nx) + dny = pi2/float(ny) + for i in xrange(nx): + for j in xrange(ny): + if(i > nxh): + dkx = dnx * (nx-i) + else: + dkx = dnx* i + + if(j> nyh): + dky=dny * (ny-j) + else: + dky = dny * j + + at = dky*dky+dkx*dkx + gauss_fact = math.exp(-0.5*(dky*dky*ay*ay+dkx*dkx*ax*ax)) + #eliminate zero mode and nyquist mode (nxh,nyh) + if(j == nyh): + kvector.itemset((1,i,j),0) + else: + if(j>nyh): + kvector.itemset((1,i,j),1.0j*dky) + else: + kvector.itemset((1,i,j),-1.0j*dky) + + if(i == nxh): + kvector.itemset((0,i,j),0) + else: + if(i>nxh): + kvector.itemset((0,i,j),1.0j*dkx) + else: + kvector.itemset((0,i,j),-1.0j*dkx) + + if(at==0): + ffc.itemset((i,j),affp+1.0j) + + else: + ffc.itemset((i,j),affp*gauss_fact/at+1.0j*gauss_fact) + + + + +#initialize particles on grid +def init_particles(part,vtx,vty,vx0,vy0,npx,npy,idimp,nptot,nx,ny,ipbc): + edgelx =0.0 + edgely = 0.0 + at1 = np.float(nx)/np.float(npx) + at2 = np.float(ny)/np.float(npy) + # boundary conditions + if(ipbc==2): + edgelx = 1.0; + edgely = 1.0 + at1 = np.float(nx-2)/npx + at2 = np.float(ny-2)/npy + elif(ipbc ==3): + edgelx =1.0 + at1 = np.float(nx-2)/npx + + att = edgelx + at1 * (np.arange(npx)+0.5) + for y in xrange(npy): + at3 = edgely + at2 * (np.float(y)+0.5) + part[0,npx*y:(npx*(y+1))] = np.copy(att) + part[1,npx*y:(npx*(y+1))] = at3 + + part[2,:]=vtx * np.random.normal(0,1,nptot) + part[3,:]=vty * np.random.normal(0,1,nptot) + + #correct for drift + vdrift_x = np.sum(part[2,:],dtype=double_type)/nptot -vx0 + vdrift_y = np.sum(part[3,:],dtype=double_type)/nptot - vy0 + + np.subtract(part[2,:],vdrift_x,part[2,:]) + np.subtract(part[3,:],vdrift_y,part[3,:]) + + + +#deposit particles +def deposit2(part,qe,qme,nptot,idimp,nxe,nye): + floor = np.int_(part) + floor_x = floor[0,:] + floor_y = floor[1,:] + + #calculate distances from nearest grid points + dx = np.subtract(part[0,:],floor[0,:]) + dy = np.subtract(part[1,:],floor[1,:]) + adx = np.subtract(np.float(1.0),dx) + ady = np.subtract(np.float(1.0),dy) + + #area weighting + a1 = np.multiply(adx,ady) + a2 = np.multiply(adx,dy) + a3 = np.multiply(dx,ady) + a4 = np.multiply(dx,dy) + + #python sucks at individual element manipulation, time to vectorize! + ngrid = nxe*nye + a1f = np.bincount(floor_y*nxe+floor_x,a1,ngrid) + a2f = np.bincount((floor_y+1)*nxe+floor_x,a2,ngrid) + a3f = np.bincount((floor_y)*nxe+floor_x+1,a3,ngrid) + a4f = np.bincount((floor_y+1)*nxe+floor_x+1,a4,ngrid) + qf = np.add(a1f,a2f) + np.add(qf,a3f,qf) + np.add(qf,a4f,qf) + yy = np.arange(nye) + xx = np.arange(nxe) + for x in xrange(nxe): + qe[x,yy] = qf[yy*nxe+x] + np.multiply(qe,qme,qe) + + +#guard cells for charge interpolation +def guard_cells(qe,nx,ny,nxe,nye): + qe[0,:ny]+= qe[nx,:ny] + qe[nx,:ny]=0.0 + qe[:nx,0] += qe[:nx,ny] + qe[:nx,ny] = 0 + qe[0,0] += qe[nx,ny] + qe[nx,ny]=0 + + +#fourier analyze rho +def fourier_rho(qe_fft,qe,nx,ny): + qe_fft[:nx,:ny] = np.fft.fft2(qe[:nx,:ny]/float(nx*ny)) + + +#force in fourier space +def fourier_force(qe_fft,fxye,ffc,nx,ny,nxh,nyh,we,kvector): + wp = 0.0 + #unwrap vectors + kx = kvector[0,:,:] + ky = kvector[1,:,:] + at1 = np.multiply(ffc.real,ffc.imag,dtype = double_type) + temp = np.multiply(qe_fft,at1) + #print temp + np.multiply(temp,kx,fxye[0,:,:]) + np.multiply(temp,ky,fxye[1,:,:]) + rho_squared = np.multiply(qe_fft,qe_fft.conj()) + #zero freq + rho_squared[0,0]=0 + #nyquist freq + rho_squared[nxh,:] = 0 + rho_squared[:,nyh] = 0 + wp = np.sum(np.multiply(at1,rho_squared.real),dtype= double_type) + #kinetic energy + we[0] = .5*wp *float(nx*ny) + + + + + + + + +#force to real space +def real_force(fxyre,fxye,nx,ny,nxe,nye): + fxyre[0,:nx,:ny] = float(nx*ny)*np.fft.ifft2(fxye[0,:nx,:ny]).real + fxyre[1,:nx,:ny] = float(nx*ny)*np.fft.ifft2(fxye[1,:nx,:ny]).real + + +#guard cells for force +def guard_force(fxye,nx,ny): + for k in xrange(ny): + fxye.itemset((0,nx,k),fxye.item(0,0,k)) + fxye.itemset((1,nx,k),fxye.item(1,0,k)) + + for j in xrange(nx): + fxye.itemset((0,j,ny),fxye.item(0,j,0)) + fxye.itemset((1,j,ny),fxye.item(1,j,0)) + + fxye.itemset((0,nx,ny),fxye.item(0,0,0)) + fxye.itemset((1,nx,ny),fxye.item(1,0,0)) + + +#push these particles +def push_particles(part,fxye,qbme,nx,ny,dt,wke,ipbc,nptot,ndim): + qtm = qbme * dt + edgelx = 0.0 + edgely = 0.0 + edgerx = float(nx) + edgery = float(ny) + if(ipbc == 2): + edgelx = 1.0 + edgely = 1.0 + edgerx = float(nx-1) + edgery = float(ny-1) + elif(ipbc == 3): + edgelx = 1.0 + edgerx = float(nx-1) + + floor = part.astype(int) + floor_x = floor[0,:] + floor_y = floor[1,:] + + #calculate distances from lower grid points + dx = np.subtract(part[0,:],floor[0,:]) + dy = np.subtract(part[1,:],floor[1,:]) + adx = np.subtract(np.float(1.0),dx) + ady = np.subtract(np.float(1.0),dy) + + #area weighting + a1 = np.multiply(adx,ady) + a2 = np.multiply(adx,dy) + a3 = np.multiply(dx,ady) + a4 = np.multiply(dx,dy) + + da = np.empty((ndim,nptot)) + temp = np.empty((ndim,nptot)) + + #weight the forces + np.multiply(fxye[:,floor_x,floor_y],a1,da) + np.multiply(fxye[:,floor_x,floor_y+1],a2,temp) + np.add(da,temp,da) + + np.multiply(fxye[:,floor_x+1,floor_y],a3,temp) + np.add(da,temp,da) + np.multiply(fxye[:,floor_x+1,floor_y+1],a4,temp) + np.add(da,temp,da) + #calculate velocity + vel = np.copy(part[2:4,:]) + v_new = np.add(vel, qtm*da) + np.copyto(part[2:4,:],v_new) + v_sum = np.add(v_new,vel) + sum1 = np.sum(np.multiply(v_sum,v_sum)) + + #calculate position + pos_temp = np.add(part[0:2,:],v_new * dt) + + #boundary conditions + x_temp = pos_temp[0,:] + y_temp = pos_temp[1,:] + + #periodic + if(ipbc == 1): + x_temp = np.where(x_temp=edgerx,x_temp-edgerx,x_temp) + y_temp = np.where(y_temp=edgery,y_temp-edgery,y_temp) + #reflecting + elif(ipbc == 2): + indices = np.where(np.logical_or(x_temp= edgerx)) + x_temp[indices] = part[0,indices] + part[2,indices] = -part[2,indices] + indices = np.where(np.logical_or(y_temp= edgery)) + y_temp[indices] = part[1,indices] + part[3,indices] = -part[3,indices] + else: + print 'ipbc must be periodic or reflecting' + np.copyto(part[0,:],x_temp) + np.copyto(part[1,:],y_temp) + wke[0] = sum1*0.125 + + + + + + + + + +#auxiliary methods for debugging purposes + +# #deposit particles +# def deposit(part,qe,qme,nptot,idimp,nxe,nye): +# t = time.time() +# f = 0 +# f2 = 0 +# print 'hi' + +# for j in xrange(nptot): +# if(j% 100000 == 0): +# print j +# print f +# print f2 +# t2 = time.time() +# #xxyy = part[:,j] +# xx = part[0,j] +# yy = part[1,j] +# x_floor = int(xx) +# y_floor = int(yy) +# dx = xx-x_floor +# dy = yy-y_floor +# f+= time.time()-t2 +# adx = 1.0-dx +# ady = 1.0-dy +# #mm = nxe*y_floor +# #mp = mm +nxe +# #np = x_floor+1 +# t2 = time.time() +# qe.itemset((x_floor,y_floor),qe.item(x_floor,y_floor)+qme*adx*ady) +# qe.itemset((x_floor,y_floor+1),qe.item(x_floor,y_floor+1)+qme*adx*dy) +# qe.itemset((x_floor+1,y_floor),qe.item(x_floor+1,y_floor)+qme*dx*ady) +# qe.itemset((x_floor+1,y_floor+1),qe.item(x_floor+1,y_floor+1)+qme*dx*dy) + +# f2+= time.time()-t2 +# #f += time.time()-t2 +# print time.time()-t + + + #weight the forces + # np.multiply(force_re[0,flo_x,flo_y],a1,da[0,:]) + # np.multiply(force_re[1,flo_x,flo_y],a1,da[1,:]) + # np.multiply(force_re[0,flo_x,flo_y+1],a2,temp[0,:]) + # np.multiply(force_re[1,flo_x,flo_y+1],a2,temp[1,:]) + # np.add(da,temp,da) + # np.multiply(force_re[0,flo_x+1,flo_y],a3,temp[0,:]) + # np.multiply(force_re[1,flo_x+1,flo_y],a3,temp[1,:]) + # np.add(da,temp,da) + # np.multiply(force_re[0,flo_x+1,flo_y+1],a4,temp[0,:]) + # np.multiply(force_re[1,flo_x+1,flo_y+1],a4,temp[1,:]) + # np.add(da,temp,da) \ No newline at end of file From 1e93704ff3bfdbbe35a7522f389ecb3c37ac0f78 Mon Sep 17 00:00:00 2001 From: atableman Date: Thu, 28 Jan 2016 21:12:49 -0800 Subject: [PATCH 2/7] Adding a README.md --- serial/python_pic2/README.md | 4 ++++ 1 file changed, 4 insertions(+) create mode 100644 serial/python_pic2/README.md diff --git a/serial/python_pic2/README.md b/serial/python_pic2/README.md new file mode 100644 index 0000000..77638ca --- /dev/null +++ b/serial/python_pic2/README.md @@ -0,0 +1,4 @@ +_Hello_ +## This is Python + +And this is ```code``` From e3f7fb370cab08fa6283eaa96078cf800e69c80a Mon Sep 17 00:00:00 2001 From: Mori Compute Machine Date: Thu, 28 Jan 2016 21:41:38 -0800 Subject: [PATCH 3/7] Readme --- README.md | 4 +- serial/python_pic2/Pic2.py | 4 +- serial/python_pic2/README.md | 108 ++++++++++++++++++++++++++++++++++- serial/python_pic2/disp.png | Bin 590469 -> 0 bytes serial/python_pic2/disp2.png | Bin 0 -> 571411 bytes 5 files changed, 108 insertions(+), 8 deletions(-) delete mode 100644 serial/python_pic2/disp.png create mode 100644 serial/python_pic2/disp2.png diff --git a/README.md b/README.md index 185a488..861287a 100644 --- a/README.md +++ b/README.md @@ -1,4 +1,4 @@ -# Particle-In-Cell Skeleton Codes +# Particle-In-Cell Skeleton Codes Succinct PIC Implementation __All source code in this repository is confidential.__ @@ -88,7 +88,7 @@ Here's a table showing the names of the codes and their parallelism (ES means el | -------- | --------------------- | ----------- | --------- | ----------- | |__Basic Serial__| ||pic1|ES|C,Fortran| None-Serial| -||pic2|ES|C,Fortran| None-Serial| +||pic2|ES|C,Fortran,Python| None-Serial| ||pic3|ES|C,Fortran| None-Serial| ||bpic1|EM|C,Fortran| None-Serial| ||bpic2|EM|C,Fortran| None-Serial| diff --git a/serial/python_pic2/Pic2.py b/serial/python_pic2/Pic2.py index 4e57e03..991cd17 100644 --- a/serial/python_pic2/Pic2.py +++ b/serial/python_pic2/Pic2.py @@ -28,11 +28,9 @@ def main(): tend =1000.0; dt = 0.1; qme = -1 #vtx/vty are thermal velocities #vx0/vy0 are drift velocities - vtx = 4.0; vty = 4.0; vx0 = 0; vy0 = 0; + vtx = 1.0; vty = 1.0; vx0 = 0; vy0 = 0; # ax/ay = smoothed particle size in x/y direction ax = .912871; ay = .912871 - ax = 0 - ay = 0 # idimp = number of particle coordinates = 4 # ipbc = particle boundary condition: 1 = periodic, 2 = reflecting # sortime = number of time steps between standard electron sorting diff --git a/serial/python_pic2/README.md b/serial/python_pic2/README.md index 77638ca..981357f 100644 --- a/serial/python_pic2/README.md +++ b/serial/python_pic2/README.md @@ -1,4 +1,106 @@ -_Hello_ -## This is Python +Skeleton 2D Electrostatic Particle-in-Cell (PIC) codes +by Viktor K. Decyk +copyright 1994-2013, regents of the university of california -And this is ```code``` +This program contains sample codes for illustrating the basic structure +of a 2D Electrostatic Particle-in-Cell (PIC) code in Python. The codes have no diagnosics except for initial and final +energies. Their primary purpose is to provide example codes for +physical science students learning about PIC codes. They are also +intended as benchmark reference codes to aid in developing new codes and +in evaluating new computer architectures. + +PIC codes are widely used in plasma physics. They model plasmas as +particles which interact self-consistently via the electromagnetic +fields they themselves produce. PIC codes generally have three +important procedures in the main iteration loop. The first is the +deposit, where some particle quantity, such as a charge, is accumulated +on a grid via interpolation to produce a source density. The second +important procedure is the field solver, which solves Maxwell’s equation +or a subset to obtain the electric and/or magnetic fields from the +source densities. Finally, once the fields are obtained, the particle +forces are found by interpolation from the grid, and the particle +co-ordinates are updated, using Newton’s second law and the Lorentz +force. The particle processing parts dominate over the field solving +parts in a typical PIC application. + +More details about PIC codes can be found in the texts by C. K. Birdsall +and A. B. Langdon, Plasma Physics via Computer Simulation, 1985, +R. W. Hockney and J. W. Eastwood, Computer Simulation Using Particles, +1981, and John M. Dawson, "Particle simulation of plasmas", Rev. Mod. +Phys. 55, 403 (1983). Details about the mathematical equations and +units used in this code is given in the companion article, +"Description of Electrostatic Spectral Code from the UPIC Framework" by +Viktor K. Decyk, UCLA, in the file ESModels.pdf. + +No warranty for proper operation of this software is given or implied. +Software or information may be copied, distributed, and used at own +risk; it may not be distributed without this notice included verbatim +with each file. If use of these codes results in a publication, an +acknowledgement is requested. + +The code here uses the simplest force, the electrostatic Coulomb +interaction, obtained by solving a Poisson equation. A spectral method +using Fast Fourier Transforms (FFTs) is used to solve the Poisson +equation. A real to complex FFT is used, and the data in Fourier space +is stored in a packed format, where the input and output sizes are the +same. The boundary conditions are periodic, only electron species are +included, and linear interpolation is used. + +Particles are initialized with a uniform distribution in space and a +gaussian distribution in velocity space. This describes a plasma in +thermal equilibrium. The inner loop contains a charge deposit, an add +guard cell procedure, a scalar FFT, a Poisson solver, a vector FFT, a +copy guard cell procedure, a particle push, and a particle sorting +procedure. The final energy and timings are printed. A sample output +file for the default input parameters is included in the file output. + +In more detail, the inner loop of the code contains the following +procedures in Fortran (C): + +Deposit section: + deposit2: deposit charge density + guard_cells: add charge density guard cells + +Field solve section: + fourier_rho: FFT charge density to fourier space + fourier_force: calculate smoothed longitudinal electric field in + fourier space. + real_force: FFT smoothed electric field to real space + +Particle Push section: + guard_force: fill in guard cells for smoothed electric field + push_particles: update particle co-ordinates with smoothed + electric field: + x(t)->x(t+dt); v(t-dt/2)->v(t+dt/2) + +The inputs to the code are the grid parameters indx, indy, the particle +number parameters npx, npy, the time parameters tend, dt, the velocity +parameters vtx, vty, vx0, vy0, and the sorting parameter sortime. + +In more detail: +indx = exponent which determines length in x direction, nx=2**indx. +indy = exponent which determines length in y direction, ny=2**indy. + These ensure the system lengths are a power of 2. +npx = number of electrons distributed in x direction. +npy = number of electrons distributed in y direction. + The total number of particles in the simulation is npx*npy. +tend = time at end of simulation, in units of plasma frequency. +dt = time interval between successive calculations. + The number of time steps the code runs is given by tend/dt. + dt should be less than .2 for the electrostatic code. +vtx/vty = thermal velocity of electrons in x/y direction + a typical value is 1.0. +vx0/vy0 = drift velocity of electrons in x/y direction. +sortime = number of time steps between electron sorting. + This is used to improve cache performance. sortime=0 to suppress. + +The major program files contained here include: +Pic2.py Python main program +push.py Python procedure Library + + +To run the program, type + +Python Pic2 + +into command prompt. \ No newline at end of file diff --git a/serial/python_pic2/disp.png b/serial/python_pic2/disp.png deleted file mode 100644 index 32a01470addacbbb0c34fdfed514f29a3b6d0d5c..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 590469 zcmeFYhd+Vn#RYgUL*1A!&=3QG+bVMUWD=`|vZA+}Xt-WG~n6+B1q^Xdo z5$?A3-dnVY9V&Rv<5vg_Y7kU2FKQG*Qr|$19(QezS@*!mo9&o+kU&?qIP92T>STip7Ylgf4@b%t0eBs?+ac!%_hI!vOw^j!~Z_;@X_Pu z3Ov6r%!ei7{y&l~Y8$HjKN9}mF8oJB3{~DrtNtUrT*G#)So~1M_kdLs$eylV>wp*z z|E`rJ7kmMH&vt(?xLIW9vxs!T5`WE)P-diAfSsuQ@7mTxDoISN_!DQsCv@z0t#!F2 zC4+OU_fj3-2vWc`d8wu}!vPq-Ix)UWyuV*3Epl)j;av79_U1~CKkmP1z~k}oY~DQWr!trPb8b0Hn=|wo{zK){mb27awJRUoV}M2xdyq zDWk5V8^Z^i@z6};am`k{TMK4)2qPn@@H++I`=1iG?rN^#I-6>DT5BVknjg2(IrpeL zbh)=r|I2qAxxV(w+Ou70+1Jv>yZ@@#?_9?BzreI!Oc2@mcFJS9Vzwo4bG&?UZQkqV zY^G=2RSonbN_jc|C86JcA}wd#EDcx*-e=RRCU!qWECoJl;I*{A`}x28&xPbRfXB}t z&o--$pSsW{_q(S#4VG8la~JR(a}Uo9-rK6ulrr`B9?IV`tF^zS7ozw3zDa#MP60+``h9f*KhmKbnoM;6fS4IK%$vZK2ft+dO$m;|IpWI$iy}_6E%a2 zJ`?l%!$JSVLYsHqnFZdfS&emzXrgKT+l+D)dCY?KdG3CQ-dquq$O2rH8yQib8Bz2 zRu14VlHyKJv3&67@AhH%GB%|xoKwW7wu;#zHGBELTsvM?@CMGUilMy4uHE;?nTT@| zpt7Sm`&&7w5?Wi$(H9c_i@}$%$!*;tJ8FJEzWx7Y?J%|XW8y%s);iS84)tnzD`27~ z&|@~sx8=aV`TkqZcs{}M#H}fj{ZBgw&#j7B+I! 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Note: the context of this file is case sensitive. + +python module cpush2 ! in + interface ! in :cpush2 + subroutine cdistr2(part,vtx,vty,vdx,vdy,npx,npy,idimp,nop,nx,ny,ipbc) ! in :cpush2:cpush2_hpy.f90 + real dimension(*),intent(inout) :: part + real intent(in) :: vtx + real intent(in) :: vty + real intent(in) :: vdx + real intent(in) :: vdy + integer intent(in) :: npx + integer intent(in) :: npy + integer intent(in) :: idimp + integer intent(in) :: nop + integer intent(in) :: nx + integer intent(in) :: ny + integer intent(in) :: ipbc + end subroutine cdistr2 + end interface + interface ! in :cpush2 + subroutine cgpush2l(part,fxy,qbm,dt,ek,idimp,nop,nx,ny,nxv,nyv,ipbc) ! in :cpush2:cpush2_hpy.f90 + real dimension(*),intent(inout) :: part + real dimension(*),intent(in) :: fxy + real intent(in) :: qbm + real intent(in) :: dt + real intent(inout) :: ek + integer intent(in) :: idimp + integer intent(in) :: nop + integer intent(in) :: nx + integer intent(in) :: ny + integer intent(in) :: nxv + integer intent(in) :: nyv + integer intent(in) :: ipbc + end subroutine cgpush2l + end interface + interface ! in :cpush2 + subroutine cgpost2l(part,q,qm,nop,idimp,nxv,nyv) ! in :cpush2:cpush2_hpy.f90 + real dimension(*),intent(in) :: part + real dimension(*),intent(inout) :: q + real intent(in) :: qm + integer intent(in) :: nop + integer intent(in) :: idimp + integer intent(in) :: nxv + integer intent(in) :: nyv + end subroutine cgpost2l + end interface + interface ! in :cpush2 + subroutine cdsortp2yl(parta,partb,npic,idimp,nop,ny1) ! in :cpush2:cpush2_hpy.f90 + real dimension(*),intent(in) :: parta + real dimension(*),intent(inout) :: partb + integer dimension(*),intent(inout) :: npic + integer intent(in) :: idimp + integer intent(in) :: nop + integer intent(in) :: ny1 + end subroutine cdsortp2yl + end interface + interface ! in :cpush2 + subroutine ccguard2l(fxy,nx,ny,nxe,nye) ! in :cpush2:cpush2_hpy.f90 + real dimension(*),intent(inout) :: fxy + integer intent(in) :: nx + integer intent(in) :: ny + integer intent(in) :: nxe + integer intent(in) :: nye + end subroutine ccguard2l + end interface + interface ! in :cpush2 + subroutine caguard2l(q,nx,ny,nxe,nye) ! in :cpush2:cpush2_hpy.f90 + real dimension(*),intent(inout) :: q + integer intent(in) :: nx + integer intent(in) :: ny + integer intent(in) :: nxe + integer intent(in) :: nye + end subroutine caguard2l + end interface + interface ! in :cpush2 + subroutine cpois22(q,fxy,isign,ffc,ax,ay,affp,we,nx,ny,nxvh,nyv,nxhd,nyhd) ! in :cpush2:cpush2_hpy.f90 + real dimension(*),intent(in) :: q + real dimension(*),intent(inout) :: fxy + integer intent(in) :: isign + complex dimension(*),intent(inout) :: ffc + real intent(in) :: ax + real intent(in) :: ay + real intent(in) :: affp + real intent(inout) :: we + integer intent(in) :: nx + integer intent(in) :: ny + integer intent(in) :: nxvh + integer intent(in) :: nyv + integer intent(in) :: nxhd + integer intent(in) :: nyhd + end subroutine cpois22 + end interface + interface ! in :cpush2 + subroutine cwfft2rinit(mixup,sct,indx,indy,nxhyd,nxyhd) ! in :cpush2:cpush2_hpy.f90 + integer dimension(*),intent(inout) :: mixup + complex dimension(*),intent(inout) :: sct + integer intent(in) :: indx + integer intent(in) :: indy + integer intent(in) :: nxhyd + integer intent(in) :: nxyhd + end subroutine cwfft2rinit + end interface + interface ! in :cpush2 + subroutine cwfft2rx(f,isign,mixup,sct,indx,indy,nxhd,nyd,nxhyd,nxyhd) ! in :cpush2:cpush2_hpy.f90 + real dimension(*),intent(inout) :: f + integer :: isign + integer dimension(*),intent(inout) :: mixup + complex dimension(*),intent(inout) :: sct + integer :: indx + integer :: indy + integer :: nxhd + integer :: nyd + integer :: nxhyd + integer :: nxyhd + end subroutine cwfft2rx + end interface + interface ! in :cpush2 + subroutine cwfft2r2(f,isign,mixup,sct,indx,indy,nxhd,nyd,nxhyd,nxyhd) ! in :cpush2:cpush2_hpy.f90 + real dimension(*),intent(inout) :: f + integer intent(in) :: isign + integer dimension(*),intent(inout) :: mixup + complex dimension(*),intent(inout) :: sct + integer intent(in) :: indx + integer intent(in) :: indy + integer intent(in) :: nxhd + integer intent(in) :: nyd + integer intent(in) :: nxhyd + integer intent(in) :: nxyhd + end subroutine cwfft2r2 + end interface +end python module cpush2 + +! This file was auto-generated with f2py (version:2). +! 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z?;zZd@BjjRDE@yC=sWHQ5jGhf^NUDoJw2gA*iDl5vSPHLWZ6;2T*O)k5-oPSTO zf16w8{%30WZ_!VG`RD2d1^n+Y(gy?OH-yO)i|bvD_|UD~6+jCE9vA!T`AutZf)bzx zhH+dmsR@USu9eQID6SoX*U5?@m{fzpP%+j}7QMI;XA$PXv6p zMjv*Y4<4XbBnxIo4*VNDCqBmv6PNq+BGdHQb(OiHi}SYC4ft{oAL*UqFhduq8_0=| zDsXT_b+OO-ojN)V;!qWzz314i#v8sZ5^O53v(K3nzKy;X#HWJppa<51ees=td6VBg znMF8dF&yTfa}`~^GW4gOGg7DV6*LZW@J;bQSIK{iKjK>!I(*{#p#gL%b&8`SoXqia zD${|{sgV5C$jJr6SM<}fGy+F#^qnT$QLow=&P9a0O{QY@b*X;-mF1E6dK@S1F8nWL z@R=+=_cT5a$0wgzXJ)KL#<`dISFTwmyK{H^dA|_UuIBpO`{{fyuZwp{kr^L;oa%c zz}?`KGg-gm++5Ghoh;0&0X*&Wmq94xzf-}%zj69%LT0r&LrZ7(0+E@o)BrP!WM2#! zSbpKauK^4!oz5Hi>?3AiGnYRcz{EkfJ{-!r?%}xfJr9TV3my)jf=u0): - part2 = np.empty((idimp,nptot),float_type,'C') + part2 = np.empty((idimp,nptot),float_type,'F') # electron charge density with guard cells - qe = np.empty((nxe,nye),float_type,'C') - qe2 = np.empty((nxe,nye),float_type,'C') + qe = np.empty((nxe,nye),float_type,'F') + qe2 = np.empty((nxe,nye),float_type,'F') # wavenumbers (ndim,kx,ky) for fourier analysis - kvector = np.empty((ndim,nxe,nye),complex_type,'C') + kvector = np.empty((ndim,nxe,nye),complex_type,'F') kvector.fill(0.0) #fft electron charge density - qe_fft = np.empty((nxe,nye),complex_type,'C') + qe_fft = np.empty((nxe,nye),complex_type,'F') # smoothed electric field with guard cells in fourier space - fxye = np.empty((ndim,nxe,nye),complex_type,'C') + fxye = np.empty((ndim,nxe,nye),complex_type,'F') # smoothed electric field with guard cells in real space - fxyre = np.empty((ndim,nxe,nye),float_type,'C') + fxyre = np.empty((ndim,nxe,nye),float_type,'F') # form factor array for poisson solver - ffc = np.empty((nxe,nye),complex_type,'C') + ffc = np.empty((nxe,nye),complex_type,'F') ffc.fill(0.0) #form factor array do this once @@ -105,7 +105,8 @@ def main(): #main loop for ntime in xrange(0,nloop): - print ntime + if ntime % 100 ==0 : + print ntime #zero matrices fxye.fill(0.0) qe.fill(0.0) @@ -190,14 +191,14 @@ def main(): if(print_diagnostics): plt.figure(1,figsize=(12,6)) - freq_start = 0.3 - freq_end = 7 + freq_start = 0.7 + freq_end = 3 fx_st = int(freq_start*dt*nloop/(2*np.pi)) fx_end = int(freq_end*dt*nloop/(2*np.pi)) print fx_st,fx_end freq_start = (2*np.pi/(dt*nloop))*fx_st freq_end = (2*np.pi/(dt*nloop))*fx_end - plt.imshow(np.abs(np.fft.fft(phi[:,:,1],axis=0)[fx_st:fx_end,:]),origin ='lower',extent=[0,np.pi,freq_start,freq_end]) + plt.imshow(np.abs(np.fft.fft(phi[:,:,ny/3],axis=0)[fx_st:fx_end,:]),origin ='lower',extent=[0,np.pi,freq_start,freq_end]) #plt.axis([0,np.pi, freq_start,freq_end]) plt.colorbar() plt.savefig('disp',dpi = 400,bbox_inches = 'tight') diff --git a/serial/python_pic2/Vectorization_code/Pic2.py b/serial/python_pic2/Vectorization_code/Pic2.py new file mode 100644 index 0000000..991cd17 --- /dev/null +++ b/serial/python_pic2/Vectorization_code/Pic2.py @@ -0,0 +1,208 @@ +#------------------- +#Skeleton 2D Electrostatic PIC code +# written by Thamine Dalichaouch, Viktor K. Decyk, Adam Tableman, and Qiyang Hu, UCLA +import numpy as np +import math +from push import * +import time +import matplotlib.pyplot as plt +int_type = np.int32 +double_type = np.float64 +float_type = np.float32 +complex_type = np.complex64 + +def main(): + #----- Same format as other Skeleton Codes written by Viktor Decyk ----- + + #number of cells in each direction-- nx = 2^indx + indx = 8; indy=8 + #indx = 3; indy=3 + #number of particles in each direction + #npx = 2024; npy = 2024 + npx = 500;npy = 500 + #ndim = number dimensions + ndim =2 + #tend = time at end of plasma simulation in units of plasma freq. + #dt = time interval + #qme = electron charge in units of |e| + tend =1000.0; dt = 0.1; qme = -1 + #vtx/vty are thermal velocities + #vx0/vy0 are drift velocities + vtx = 1.0; vty = 1.0; vx0 = 0; vy0 = 0; + # ax/ay = smoothed particle size in x/y direction + ax = .912871; ay = .912871 + # idimp = number of particle coordinates = 4 + # ipbc = particle boundary condition: 1 = periodic, 2 = reflecting + # sortime = number of time steps between standard electron sorting + idimp = 4; ipbc = 2; sortime = 50 + # wke/we/wt = particle kinetic/electric field/total energy + wke = np.zeros((1),float_type) + we = np.zeros((1),float_type) + wt = np.zeros((1),float_type) + + # declare and initialize timing data + itime = np.empty((4),int_type) + tdpost = 0.0; tguard = 0.0; tfft = 0.0; tfield = 0.0 + tpush = 0.0; tsort = 0.0 + dtime = np.empty((1),double_type) + + # initialize scalars for standard code + # nptot = total number of particles in simulation + # nx/ny = number of grid points in x/y direction + nptot = npx*npy; nx = int(math.pow(2,indx)); ny = int(math.pow(2,indy)) + + # nyquist frequencies + nxh = int(nx/2); nyh = max(1,int(ny/2)) + + #guard cell definitions; do not change guard cells + nxe = nx + 2; nye = ny + 2; + + + # nloop = number of time steps in simulation + # ntime = current time step + nloop = int(tend/dt +0.001); ntime = 0 + + phi = np.empty((nloop,nxh,nyh),complex_type) + phi.fill(0.0) + #extra params + qbme = qme + + # inverse particles per cell normalizing factor + affp = float(nx*ny)/nptot + + # allocate data for code + # part, part2 = particle arrays + part = np.empty((idimp,nptot),float_type,'C') + if(sortime>0): + part2 = np.empty((idimp,nptot),float_type,'C') + + # electron charge density with guard cells + qe = np.empty((nxe,nye),float_type,'C') + qe2 = np.empty((nxe,nye),float_type,'C') + + # wavenumbers (ndim,kx,ky) for fourier analysis + kvector = np.empty((ndim,nxe,nye),complex_type,'C') + kvector.fill(0.0) + + #fft electron charge density + qe_fft = np.empty((nxe,nye),complex_type,'C') + + # smoothed electric field with guard cells in fourier space + fxye = np.empty((ndim,nxe,nye),complex_type,'C') + + # smoothed electric field with guard cells in real space + fxyre = np.empty((ndim,nxe,nye),float_type,'C') + + # form factor array for poisson solver + ffc = np.empty((nxe,nye),complex_type,'C') + ffc.fill(0.0) + + #form factor array do this once + form_factor(ffc,nx,ny,nxh,nyh,affp,ax,ay,kvector) + + #initialize particle velocities and + init_particles(part,vtx,vty,vx0,vy0,npx,npy,idimp,nptot,nx,ny,ipbc) + + #main loop + for ntime in xrange(0,nloop): + print ntime + #zero matrices + fxye.fill(0.0) + qe.fill(0.0) + fxyre.fill(0.0) + qe_fft.fill(0.0) + + #deposit charge + t = time.time() + deposit2(part,qe,qme,nptot,idimp,nxe,nye) + tdpost += time.time() - t + + + #add guard cells + t = time.time() + guard_cells(qe,nx,ny,nxe,nye) + tguard += time.time() - t + + + #charge to fourier space! + t = time.time() + fourier_rho(qe_fft,qe,nx,ny) + tfft += time.time() - t + + + #calculate field in fourier space + t = time.time() + fourier_force(qe_fft,fxye,ffc,nx,ny,nxh,nyh,we,kvector) + tfield += time.time()-t + np.copyto(phi[ntime,:,:],fxye[0,:nxh,:nyh]) + + #force to real space, updates fxye + t = time.time() + real_force(fxyre,fxye,nx,ny,nxe,nye) + tfft += time.time() -t + + t = time.time() + guard_force(fxyre,nx,ny) + tguard += time.time()-t + + + #push particles updates part,wke + wke[0] = 0.0 + t = time.time() + push_particles(part,fxyre,qbme,nx,ny,dt,wke,ipbc,nptot,ndim) + tpush += time.time() -t + if(sortime > 0): + if(ntime%sortime == 0): + t = time.time() + #sort by y axis + part = part[:,np.argsort(part[1,:])] + tsort = tsort + time.time() -t + + if (ntime<1): + print "Initial Field, Kinetic and Total Energies:" + print "%14.7e %14.7e %14.7e" % (we, wke, wke + we) + + + + + print "ntime = ", ntime + print "Final Field, Kinetic and Total Energies:" + print "%14.7e %14.7e %14.7e" % (we, wke, wke + we) + + print "" + print "deposit time = ", tdpost + print "guard time = ", tguard + print "solver time = ", tfield + print "fft time = ", tfft + print "push time = ", tpush + tfield = tfield + tguard + tfft + print "sort time = ", tsort + print "total solver time = ", tfield + par_time = tdpost + tpush + tsort + print "total particle time = ", par_time + wt = par_time + tfield + print "total time = ", wt + print "" + + #diagnostics for code to view a plot of the disperion relation for Ex + # default set to false + print_diagnostics = True + + if(print_diagnostics): + plt.figure(1,figsize=(12,6)) + freq_start = 0.3 + freq_end = 7 + fx_st = int(freq_start*dt*nloop/(2*np.pi)) + fx_end = int(freq_end*dt*nloop/(2*np.pi)) + print fx_st,fx_end + freq_start = (2*np.pi/(dt*nloop))*fx_st + freq_end = (2*np.pi/(dt*nloop))*fx_end + plt.imshow(np.abs(np.fft.fft(phi[:,:,1],axis=0)[fx_st:fx_end,:]),origin ='lower',extent=[0,np.pi,freq_start,freq_end]) + #plt.axis([0,np.pi, freq_start,freq_end]) + plt.colorbar() + plt.savefig('disp',dpi = 400,bbox_inches = 'tight') + + #plt.show() + +if __name__ == "__main__": + main() \ No newline at end of file diff --git a/serial/python_pic2/Vectorization_code/push.py b/serial/python_pic2/Vectorization_code/push.py new file mode 100644 index 0000000..21bab64 --- /dev/null +++ b/serial/python_pic2/Vectorization_code/push.py @@ -0,0 +1,322 @@ +import numpy as np +import math +import time +from numpy import vectorize +pi2 = 2*np.pi +float_type = np.float32 +double_type = np.float64 + + + +#form factor for poisson equation +def form_factor(ffc,nx,ny,nxh,nyh,affp,ax,ay,kvector): + dnx = pi2/float(nx) + dny = pi2/float(ny) + for i in xrange(nx): + for j in xrange(ny): + if(i > nxh): + dkx = dnx * (nx-i) + else: + dkx = dnx* i + + if(j> nyh): + dky=dny * (ny-j) + else: + dky = dny * j + + at = dky*dky+dkx*dkx + gauss_fact = math.exp(-0.5*(dky*dky*ay*ay+dkx*dkx*ax*ax)) + #eliminate zero mode and nyquist mode (nxh,nyh) + if(j == nyh): + kvector.itemset((1,i,j),0) + else: + if(j>nyh): + kvector.itemset((1,i,j),1.0j*dky) + else: + kvector.itemset((1,i,j),-1.0j*dky) + + if(i == nxh): + kvector.itemset((0,i,j),0) + else: + if(i>nxh): + kvector.itemset((0,i,j),1.0j*dkx) + else: + kvector.itemset((0,i,j),-1.0j*dkx) + + if(at==0): + ffc.itemset((i,j),affp+1.0j) + + else: + ffc.itemset((i,j),affp*gauss_fact/at+1.0j*gauss_fact) + + + + +#initialize particles on grid +def init_particles(part,vtx,vty,vx0,vy0,npx,npy,idimp,nptot,nx,ny,ipbc): + edgelx =0.0 + edgely = 0.0 + at1 = np.float(nx)/np.float(npx) + at2 = np.float(ny)/np.float(npy) + # boundary conditions + if(ipbc==2): + edgelx = 1.0; + edgely = 1.0 + at1 = np.float(nx-2)/npx + at2 = np.float(ny-2)/npy + elif(ipbc ==3): + edgelx =1.0 + at1 = np.float(nx-2)/npx + + att = edgelx + at1 * (np.arange(npx)+0.5) + for y in xrange(npy): + at3 = edgely + at2 * (np.float(y)+0.5) + part[0,npx*y:(npx*(y+1))] = np.copy(att) + part[1,npx*y:(npx*(y+1))] = at3 + + part[2,:]=vtx * np.random.normal(0,1,nptot) + part[3,:]=vty * np.random.normal(0,1,nptot) + + #correct for drift + vdrift_x = np.sum(part[2,:],dtype=double_type)/nptot -vx0 + vdrift_y = np.sum(part[3,:],dtype=double_type)/nptot - vy0 + + np.subtract(part[2,:],vdrift_x,part[2,:]) + np.subtract(part[3,:],vdrift_y,part[3,:]) + + + +#deposit particles +def deposit2(part,qe,qme,nptot,idimp,nxe,nye): + floor = np.int_(part) + floor_x = floor[0,:] + floor_y = floor[1,:] + + #calculate distances from nearest grid points + dx = np.subtract(part[0,:],floor[0,:]) + dy = np.subtract(part[1,:],floor[1,:]) + adx = np.subtract(np.float(1.0),dx) + ady = np.subtract(np.float(1.0),dy) + + #area weighting + a1 = np.multiply(adx,ady) + a2 = np.multiply(adx,dy) + a3 = np.multiply(dx,ady) + a4 = np.multiply(dx,dy) + + #python sucks at individual element manipulation, time to vectorize! + ngrid = nxe*nye + a1f = np.bincount(floor_y*nxe+floor_x,a1,ngrid) + a2f = np.bincount((floor_y+1)*nxe+floor_x,a2,ngrid) + a3f = np.bincount((floor_y)*nxe+floor_x+1,a3,ngrid) + a4f = np.bincount((floor_y+1)*nxe+floor_x+1,a4,ngrid) + qf = np.add(a1f,a2f) + np.add(qf,a3f,qf) + np.add(qf,a4f,qf) + yy = np.arange(nye) + xx = np.arange(nxe) + for x in xrange(nxe): + qe[x,yy] = qf[yy*nxe+x] + np.multiply(qe,qme,qe) + + +#guard cells for charge interpolation +def guard_cells(qe,nx,ny,nxe,nye): + qe[0,:ny]+= qe[nx,:ny] + qe[nx,:ny]=0.0 + qe[:nx,0] += qe[:nx,ny] + qe[:nx,ny] = 0 + qe[0,0] += qe[nx,ny] + qe[nx,ny]=0 + + +#fourier analyze rho +def fourier_rho(qe_fft,qe,nx,ny): + qe_fft[:nx,:ny] = np.fft.fft2(qe[:nx,:ny]/float(nx*ny)) + + +#force in fourier space +def fourier_force(qe_fft,fxye,ffc,nx,ny,nxh,nyh,we,kvector): + wp = 0.0 + #unwrap vectors + kx = kvector[0,:,:] + ky = kvector[1,:,:] + at1 = np.multiply(ffc.real,ffc.imag,dtype = double_type) + temp = np.multiply(qe_fft,at1) + #print temp + np.multiply(temp,kx,fxye[0,:,:]) + np.multiply(temp,ky,fxye[1,:,:]) + rho_squared = np.multiply(qe_fft,qe_fft.conj()) + #zero freq + rho_squared[0,0]=0 + #nyquist freq + rho_squared[nxh,:] = 0 + rho_squared[:,nyh] = 0 + wp = np.sum(np.multiply(at1,rho_squared.real),dtype= double_type) + #kinetic energy + we[0] = .5*wp *float(nx*ny) + + + + + + + + +#force to real space +def real_force(fxyre,fxye,nx,ny,nxe,nye): + fxyre[0,:nx,:ny] = float(nx*ny)*np.fft.ifft2(fxye[0,:nx,:ny]).real + fxyre[1,:nx,:ny] = float(nx*ny)*np.fft.ifft2(fxye[1,:nx,:ny]).real + + +#guard cells for force +def guard_force(fxye,nx,ny): + for k in xrange(ny): + fxye.itemset((0,nx,k),fxye.item(0,0,k)) + fxye.itemset((1,nx,k),fxye.item(1,0,k)) + + for j in xrange(nx): + fxye.itemset((0,j,ny),fxye.item(0,j,0)) + fxye.itemset((1,j,ny),fxye.item(1,j,0)) + + fxye.itemset((0,nx,ny),fxye.item(0,0,0)) + fxye.itemset((1,nx,ny),fxye.item(1,0,0)) + + +#push these particles +def push_particles(part,fxye,qbme,nx,ny,dt,wke,ipbc,nptot,ndim): + qtm = qbme * dt + edgelx = 0.0 + edgely = 0.0 + edgerx = float(nx) + edgery = float(ny) + if(ipbc == 2): + edgelx = 1.0 + edgely = 1.0 + edgerx = float(nx-1) + edgery = float(ny-1) + elif(ipbc == 3): + edgelx = 1.0 + edgerx = float(nx-1) + + floor = part.astype(int) + floor_x = floor[0,:] + floor_y = floor[1,:] + + #calculate distances from lower grid points + dx = np.subtract(part[0,:],floor[0,:]) + dy = np.subtract(part[1,:],floor[1,:]) + adx = np.subtract(np.float(1.0),dx) + ady = np.subtract(np.float(1.0),dy) + + #area weighting + a1 = np.multiply(adx,ady) + a2 = np.multiply(adx,dy) + a3 = np.multiply(dx,ady) + a4 = np.multiply(dx,dy) + + da = np.empty((ndim,nptot)) + temp = np.empty((ndim,nptot)) + + #weight the forces + np.multiply(fxye[:,floor_x,floor_y],a1,da) + np.multiply(fxye[:,floor_x,floor_y+1],a2,temp) + np.add(da,temp,da) + + np.multiply(fxye[:,floor_x+1,floor_y],a3,temp) + np.add(da,temp,da) + np.multiply(fxye[:,floor_x+1,floor_y+1],a4,temp) + np.add(da,temp,da) + #calculate velocity + vel = np.copy(part[2:4,:]) + v_new = np.add(vel, qtm*da) + np.copyto(part[2:4,:],v_new) + v_sum = np.add(v_new,vel) + sum1 = np.sum(np.multiply(v_sum,v_sum)) + + #calculate position + pos_temp = np.add(part[0:2,:],v_new * dt) + + #boundary conditions + x_temp = pos_temp[0,:] + y_temp = pos_temp[1,:] + + #periodic + if(ipbc == 1): + x_temp = np.where(x_temp=edgerx,x_temp-edgerx,x_temp) + y_temp = np.where(y_temp=edgery,y_temp-edgery,y_temp) + #reflecting + elif(ipbc == 2): + indices = np.where(np.logical_or(x_temp= edgerx)) + x_temp[indices] = part[0,indices] + part[2,indices] = -part[2,indices] + indices = np.where(np.logical_or(y_temp= edgery)) + y_temp[indices] = part[1,indices] + part[3,indices] = -part[3,indices] + else: + print 'ipbc must be periodic or reflecting' + np.copyto(part[0,:],x_temp) + np.copyto(part[1,:],y_temp) + wke[0] = sum1*0.125 + + + + + + + + + +#auxiliary methods for debugging purposes + +# #deposit particles +# def deposit(part,qe,qme,nptot,idimp,nxe,nye): +# t = time.time() +# f = 0 +# f2 = 0 +# print 'hi' + +# for j in xrange(nptot): +# if(j% 100000 == 0): +# print j +# print f +# print f2 +# t2 = time.time() +# #xxyy = part[:,j] +# xx = part[0,j] +# yy = part[1,j] +# x_floor = int(xx) +# y_floor = int(yy) +# dx = xx-x_floor +# dy = yy-y_floor +# f+= time.time()-t2 +# adx = 1.0-dx +# ady = 1.0-dy +# #mm = nxe*y_floor +# #mp = mm +nxe +# #np = x_floor+1 +# t2 = time.time() +# qe.itemset((x_floor,y_floor),qe.item(x_floor,y_floor)+qme*adx*ady) +# qe.itemset((x_floor,y_floor+1),qe.item(x_floor,y_floor+1)+qme*adx*dy) +# qe.itemset((x_floor+1,y_floor),qe.item(x_floor+1,y_floor)+qme*dx*ady) +# qe.itemset((x_floor+1,y_floor+1),qe.item(x_floor+1,y_floor+1)+qme*dx*dy) + +# f2+= time.time()-t2 +# #f += time.time()-t2 +# print time.time()-t + + + #weight the forces + # np.multiply(force_re[0,flo_x,flo_y],a1,da[0,:]) + # np.multiply(force_re[1,flo_x,flo_y],a1,da[1,:]) + # np.multiply(force_re[0,flo_x,flo_y+1],a2,temp[0,:]) + # np.multiply(force_re[1,flo_x,flo_y+1],a2,temp[1,:]) + # np.add(da,temp,da) + # np.multiply(force_re[0,flo_x+1,flo_y],a3,temp[0,:]) + # np.multiply(force_re[1,flo_x+1,flo_y],a3,temp[1,:]) + # np.add(da,temp,da) + # np.multiply(force_re[0,flo_x+1,flo_y+1],a4,temp[0,:]) + # np.multiply(force_re[1,flo_x+1,flo_y+1],a4,temp[1,:]) + # np.add(da,temp,da) \ No newline at end of file diff --git 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form_factor(ffc,nx,ny,nxh,nyh,affp,ax,ay,kvector): dnx = pi2/float(nx) dny = pi2/float(ny) @@ -28,30 +30,27 @@ def form_factor(ffc,nx,ny,nxh,nyh,affp,ax,ay,kvector): gauss_fact = math.exp(-0.5*(dky*dky*ay*ay+dkx*dkx*ax*ax)) #eliminate zero mode and nyquist mode (nxh,nyh) if(j == nyh): - kvector.itemset((1,i,j),0) + kvector[1,i,j] = 0 else: if(j>nyh): - kvector.itemset((1,i,j),1.0j*dky) + kvector[1,i,j] = 1.0j*dky else: - kvector.itemset((1,i,j),-1.0j*dky) + kvector[1,i,j] = -1.0j*dky if(i == nxh): - kvector.itemset((0,i,j),0) + kvector[0,i,j] = 0 else: if(i>nxh): - kvector.itemset((0,i,j),1.0j*dkx) + kvector[0,i,j] = 1.0j*dkx else: - kvector.itemset((0,i,j),-1.0j*dkx) + kvector[0,i,j] = -1.0j*dkx if(at==0): - ffc.itemset((i,j),affp+1.0j) - + ffc[i,j]= affp+1.0j else: - ffc.itemset((i,j),affp*gauss_fact/at+1.0j*gauss_fact) + ffc[i,j] = affp*gauss_fact/at+1.0j*gauss_fact - - #initialize particles on grid def init_particles(part,vtx,vty,vx0,vy0,npx,npy,idimp,nptot,nx,ny,ipbc): edgelx =0.0 @@ -87,37 +86,21 @@ def init_particles(part,vtx,vty,vx0,vy0,npx,npy,idimp,nptot,nx,ny,ipbc): #deposit particles +@jit def deposit2(part,qe,qme,nptot,idimp,nxe,nye): - floor = np.int_(part) - floor_x = floor[0,:] - floor_y = floor[1,:] - - #calculate distances from nearest grid points - dx = np.subtract(part[0,:],floor[0,:]) - dy = np.subtract(part[1,:],floor[1,:]) - adx = np.subtract(np.float(1.0),dx) - ady = np.subtract(np.float(1.0),dy) - - #area weighting - a1 = np.multiply(adx,ady) - a2 = np.multiply(adx,dy) - a3 = np.multiply(dx,ady) - a4 = np.multiply(dx,dy) - - #python sucks at individual element manipulation, time to vectorize! - ngrid = nxe*nye - a1f = np.bincount(floor_y*nxe+floor_x,a1,ngrid) - a2f = np.bincount((floor_y+1)*nxe+floor_x,a2,ngrid) - a3f = np.bincount((floor_y)*nxe+floor_x+1,a3,ngrid) - a4f = np.bincount((floor_y+1)*nxe+floor_x+1,a4,ngrid) - qf = np.add(a1f,a2f) - np.add(qf,a3f,qf) - np.add(qf,a4f,qf) - yy = np.arange(nye) - xx = np.arange(nxe) - for x in xrange(nxe): - qe[x,yy] = qf[yy*nxe+x] - np.multiply(qe,qme,qe) + for j in xrange(nptot): + xx = part[0,j] + yy = part[1,j] + indx = int(xx) + indy = int(yy) + dx = xx - indx + dy = yy - indy + adx = 1.0-dx + ady = 1.0-dy + qe[indx,indy]+= qme*adx*ady + qe[indx+1,indy] += qme*dx*ady + qe[indx,indy+1] += qme*adx * dy + qe[indx+1,indy+1]+=qme*dx*dy #guard cells for charge interpolation @@ -171,19 +154,13 @@ def real_force(fxyre,fxye,nx,ny,nxe,nye): #guard cells for force def guard_force(fxye,nx,ny): - for k in xrange(ny): - fxye.itemset((0,nx,k),fxye.item(0,0,k)) - fxye.itemset((1,nx,k),fxye.item(1,0,k)) - - for j in xrange(nx): - fxye.itemset((0,j,ny),fxye.item(0,j,0)) - fxye.itemset((1,j,ny),fxye.item(1,j,0)) - - fxye.itemset((0,nx,ny),fxye.item(0,0,0)) - fxye.itemset((1,nx,ny),fxye.item(1,0,0)) + fxye[:,nx,:ny] = fxye[:,0,:ny] + fxye[:,:nx,ny] = fxye[:,:nx,0] + fxye[:,nx,ny]=fxye[:,0,0] #push these particles +@jit def push_particles(part,fxye,qbme,nx,ny,dt,wke,ipbc,nptot,ndim): qtm = qbme * dt edgelx = 0.0 @@ -199,67 +176,140 @@ def push_particles(part,fxye,qbme,nx,ny,dt,wke,ipbc,nptot,ndim): edgelx = 1.0 edgerx = float(nx-1) - floor = part.astype(int) - floor_x = floor[0,:] - floor_y = floor[1,:] - - #calculate distances from lower grid points - dx = np.subtract(part[0,:],floor[0,:]) - dy = np.subtract(part[1,:],floor[1,:]) - adx = np.subtract(np.float(1.0),dx) - ady = np.subtract(np.float(1.0),dy) - - #area weighting - a1 = np.multiply(adx,ady) - a2 = np.multiply(adx,dy) - a3 = np.multiply(dx,ady) - a4 = np.multiply(dx,dy) - - da = np.empty((ndim,nptot)) - temp = np.empty((ndim,nptot)) + v_sum= 0.0 + for j in xrange(nptot): + xx = part[0,j] + yy = part[1,j] + indx = int(xx) + indy = int(yy) + dx = xx - indx + dy = yy - indy + adx = 1.0-dx + ady = 1.0-dy + #area weighting + a1 = adx*ady + a2 = dx*ady + a3 = adx * dy + a4 = dx * dy + forcex = fxye[0,indx,indy]*a1 + fxye[0,indx+1,indy]*a2+fxye[0,indx,indy+1]*a3 +fxye[0,indx+1,indy+1]*a4 + forcey = fxye[1,indx,indy]*a1 + fxye[1,indx+1,indy]*a2+fxye[1,indx,indy+1]*a3 +fxye[1,indx+1,indy+1]*a4 + velx = part[2,j] + vely = part[3,j] + # # calcualte new velcities + vx_new = velx + qtm* forcex + vy_new = vely + qtm * forcey + #do averaging for kinetic energy + v_sum += (vx_new+velx)**2 + (vy_new+vely)**2 + #update velocities + part[2,j] = vx_new + part[3,j] = vy_new + # calculate new positon + x_new = part[0,j]+vx_new * dt + y_new = part[1,j]+vy_new * dt + + # boundary conditions + #periodic + if(ipbc == 1): + if(x_new < edgelx): + x_new += edgerx + if(x_new >= edgerx): + x_new -= edgerx + if(y_new < edgely): + y_new += edgery + if(y_new >= edgery): + y_new -= edgery + elif(ipbc == 2): + if(x_new < edgelx or x_new >= edgerx): + x_new = part[0,j] + part[2,j] = -part[2,j] + if(y_new < edgely or y_new >= edgery): + y_new = part[1,j] + part[3,j] = -part[3,j] - #weight the forces - np.multiply(fxye[:,floor_x,floor_y],a1,da) - np.multiply(fxye[:,floor_x,floor_y+1],a2,temp) - np.add(da,temp,da) - - np.multiply(fxye[:,floor_x+1,floor_y],a3,temp) - np.add(da,temp,da) - np.multiply(fxye[:,floor_x+1,floor_y+1],a4,temp) - np.add(da,temp,da) - #calculate velocity - vel = np.copy(part[2:4,:]) - v_new = np.add(vel, qtm*da) - np.copyto(part[2:4,:],v_new) - v_sum = np.add(v_new,vel) - sum1 = np.sum(np.multiply(v_sum,v_sum)) + + # #update positions + part[0,j] = x_new + part[1,j] = y_new + wke[0] = 0.125*v_sum + + + +# def push_particles(part,fxye,qbme,nx,ny,dt,wke,ipbc,nptot,ndim): +# qtm = qbme * dt +# edgelx = 0.0 +# edgely = 0.0 +# edgerx = float(nx) +# edgery = float(ny) +# if(ipbc == 2): +# edgelx = 1.0 +# edgely = 1.0 +# edgerx = float(nx-1) +# edgery = float(ny-1) +# elif(ipbc == 3): +# edgelx = 1.0 +# edgerx = float(nx-1) + +# floor = part.astype(int) +# floor_x = floor[0,:] +# floor_y = floor[1,:] + +# #calculate distances from lower grid points +# dx = np.subtract(part[0,:],floor[0,:]) +# dy = np.subtract(part[1,:],floor[1,:]) +# adx = np.subtract(np.float(1.0),dx) +# ady = np.subtract(np.float(1.0),dy) + +# #area weighting +# a1 = np.multiply(adx,ady) +# a2 = np.multiply(adx,dy) +# a3 = np.multiply(dx,ady) +# a4 = np.multiply(dx,dy) + +# da = np.empty((ndim,nptot)) +# temp = np.empty((ndim,nptot)) + +# #weight the forces +# np.multiply(fxye[:,floor_x,floor_y],a1,da) +# np.multiply(fxye[:,floor_x,floor_y+1],a2,temp) +# np.add(da,temp,da) + +# np.multiply(fxye[:,floor_x+1,floor_y],a3,temp) +# np.add(da,temp,da) +# np.multiply(fxye[:,floor_x+1,floor_y+1],a4,temp) +# np.add(da,temp,da) +# #calculate velocity +# vel = np.copy(part[2:4,:]) +# v_new = np.add(vel, qtm*da) +# np.copyto(part[2:4,:],v_new) +# v_sum = np.add(v_new,vel) +# sum1 = np.sum(np.multiply(v_sum,v_sum)) - #calculate position - pos_temp = np.add(part[0:2,:],v_new * dt) +# #calculate position +# pos_temp = np.add(part[0:2,:],v_new * dt) - #boundary conditions - x_temp = pos_temp[0,:] - y_temp = pos_temp[1,:] +# #boundary conditions +# x_temp = pos_temp[0,:] +# y_temp = pos_temp[1,:] - #periodic - if(ipbc == 1): - x_temp = np.where(x_temp=edgerx,x_temp-edgerx,x_temp) - y_temp = np.where(y_temp=edgery,y_temp-edgery,y_temp) - #reflecting - elif(ipbc == 2): - indices = np.where(np.logical_or(x_temp= edgerx)) - x_temp[indices] = part[0,indices] - part[2,indices] = -part[2,indices] - indices = np.where(np.logical_or(y_temp= edgery)) - y_temp[indices] = part[1,indices] - part[3,indices] = -part[3,indices] - else: - print 'ipbc must be periodic or reflecting' - np.copyto(part[0,:],x_temp) - np.copyto(part[1,:],y_temp) - wke[0] = sum1*0.125 +# #periodic +# if(ipbc == 1): +# x_temp = np.where(x_temp=edgerx,x_temp-edgerx,x_temp) +# y_temp = np.where(y_temp=edgery,y_temp-edgery,y_temp) +# #reflecting +# elif(ipbc == 2): +# indices = np.where(np.logical_or(x_temp= edgerx)) +# x_temp[indices] = part[0,indices] +# part[2,indices] = -part[2,indices] +# indices = np.where(np.logical_or(y_temp= edgery)) +# y_temp[indices] = part[1,indices] +# part[3,indices] = -part[3,indices] +# else: +# print 'ipbc must be periodic or reflecting' +# np.copyto(part[0,:],x_temp) +# np.copyto(part[1,:],y_temp) +# wke[0] = sum1*0.125 diff --git a/serial/python_pic2/push.pyc b/serial/python_pic2/push.pyc new file mode 100644 index 0000000000000000000000000000000000000000..6d284b1102f67aa10f3ed99cce378746d59a1ca4 GIT binary patch literal 6948 zcmcIo&2M8@6~Fh{apJ^DoWzNp%rr9{rpQbu4b7C!0BL7ng7}aaRWEG^A`Owp?>Tvi z{p|R?WbEph1p^x-Sat)8BG|%$A|%A3tov6K5DPY_5(_q!;P*TCJ;!!3tR}Ya^||Mq zd+ygc=bm#@|DK-w;XnTHZdJt}3;*{}f{#%-_-R#FYDXuqrFN_YPN|)gz!rHLX|63RCJJ%~dC)aaD*|3`>*&h*B(I6}@~ij-}fFQ4R)~P&h))F{f%N zwduc+aA3kOXeUjvg)>}59^-kGc(oA!u8zfHkRkE?{fI<7mO=4DTt@sklnAjdv2Hp*r5i;ENHq+ z6Bbm21?N>KqE^62G3M4IU-jl_+)&_H+8hZn_q-rQuQ@|(NJcb%4jK=|hoc;a)SpNP#Ofl9-pQl5YmnJS1OTc{U2UyQj`Wynz#TTW*;KXH2|hlUv+FMcjj(W}8*D3B#e^0N!af z1oUA;mAcq*aNH2Ha+=4F>+UY)V*6lM$B)A{&6q|af?Ab!C|yoMWBMnd@hm5uFB*K; 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serial/python_pic2/disp.png | Bin 104309 -> 662501 bytes 2 files changed, 1 insertion(+), 3 deletions(-) diff --git a/serial/python_pic2/Pic2.py b/serial/python_pic2/Pic2.py index e23652a..6af9d16 100644 --- a/serial/python_pic2/Pic2.py +++ b/serial/python_pic2/Pic2.py @@ -105,8 +105,6 @@ def main(): #main loop for ntime in xrange(0,nloop): - if ntime % 100 ==0 : - print ntime #zero matrices fxye.fill(0.0) qe.fill(0.0) @@ -198,7 +196,7 @@ def main(): print fx_st,fx_end freq_start = (2*np.pi/(dt*nloop))*fx_st freq_end = (2*np.pi/(dt*nloop))*fx_end - plt.imshow(np.abs(np.fft.fft(phi[:,:,ny/3],axis=0)[fx_st:fx_end,:]),origin ='lower',extent=[0,np.pi,freq_start,freq_end]) + plt.imshow(np.abs(np.fft.fft(phi[:,:,1],axis=0)[fx_st:fx_end,:]),origin ='lower',extent=[0,np.pi,freq_start,freq_end]) #plt.axis([0,np.pi, freq_start,freq_end]) plt.colorbar() plt.savefig('disp',dpi = 400,bbox_inches = 'tight') diff --git a/serial/python_pic2/disp.png b/serial/python_pic2/disp.png index 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b/serial/python_pic2/Pic2.py index 6af9d16..fe51c90 100644 --- a/serial/python_pic2/Pic2.py +++ b/serial/python_pic2/Pic2.py @@ -15,17 +15,17 @@ def main(): #----- Same format as other Skeleton Codes written by Viktor Decyk ----- #number of cells in each direction-- nx = 2^indx - indx = 8; indy=8 + indx = 9; indy=9 #indx = 3; indy=3 #number of particles in each direction #npx = 2024; npy = 2024 - npx = 500;npy = 500 + npx = 2048;npy = 2048 #ndim = number dimensions ndim =2 #tend = time at end of plasma simulation in units of plasma freq. #dt = time interval #qme = electron charge in units of |e| - tend =500.0; dt = 0.1; qme = -1 + tend =10.0; dt = 0.1; qme = -1 #vtx/vty are thermal velocities #vx0/vy0 are drift velocities vtx = 1.0; vty = 1.0; vx0 = 0; vy0 = 0; @@ -105,6 +105,8 @@ def main(): #main loop for ntime in xrange(0,nloop): + if ntime %100 == 0: + print ntime #zero matrices fxye.fill(0.0) qe.fill(0.0) @@ -135,7 +137,7 @@ def main(): tfield += time.time()-t np.copyto(phi[ntime,:,:],fxye[0,:nxh,:nyh]) - #force to real space, updates fxye + #force to real space, updates fxyre t = time.time() real_force(fxyre,fxye,nx,ny,nxe,nye) tfft += time.time() -t diff --git a/serial/python_pic2/README.md b/serial/python_pic2/README.md index 981357f..4e469d2 100644 --- a/serial/python_pic2/README.md +++ b/serial/python_pic2/README.md @@ -94,6 +94,12 @@ vx0/vy0 = drift velocity of electrons in x/y direction. sortime = number of time steps between electron sorting. 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Note: the context of this file is case sensitive. + +python module fpush2 ! in + interface ! in :fpush2 + subroutine distr2(part,vtx,vty,vdx,vdy,npx,npy,idimp,nop,nx,ny,ipbc) ! in :fpush2:push2_hpy.f90 + real dimension(*),intent(inout) :: part + real intent(in) :: vtx + real intent(in) :: vty + real intent(in) :: vdx + real intent(in) :: vdy + integer intent(in) :: npx + integer intent(in) :: npy + integer intent(in) :: idimp + integer intent(in) :: nop + integer intent(in) :: nx + integer intent(in) :: ny + integer intent(in) :: ipbc + end subroutine distr2 + end interface + interface ! in :fpush2 + subroutine gpush2l(part,fxy,qbm,dt,ek,idimp,nop,nx,ny,nxv,nyv,ipbc) ! in :fpush2:push2_hpy.f90 + real dimension(*),intent(inout) :: part + real dimension(*),intent(in) :: fxy + real intent(in) :: qbm + real intent(in) :: dt + real intent(inout) :: ek + integer intent(in) :: idimp + integer intent(in) :: nop + integer intent(in) :: nx + integer intent(in) :: ny + integer intent(in) :: nxv + integer intent(in) :: nyv + integer intent(in) :: ipbc + end subroutine gpush2l + end interface + interface ! in :fpush2 + subroutine gpost2l(part,q,qm,nop,idimp,nxv,nyv) ! in :fpush2:push2_hpy.f90 + real dimension(*),intent(in) :: part + real dimension(*),intent(inout) :: q + real intent(in) :: qm + integer intent(in) :: nop + integer intent(in) :: idimp + integer intent(in) :: nxv + integer intent(in) :: nyv + end subroutine gpost2l + end interface + interface ! in :fpush2 + subroutine dsortp2yl(parta,partb,npic,idimp,nop,ny1) ! in :fpush2:push2_hpy.f90 + real dimension(*),intent(in) :: parta + real dimension(*),intent(inout) :: partb + integer dimension(*),intent(inout) :: npic + integer intent(in) :: idimp + integer intent(in) :: nop + integer intent(in) :: ny1 + end subroutine dsortp2yl + end interface + interface ! in :fpush2 + subroutine cguard2l(fxy,nx,ny,nxe,nye) ! in :fpush2:push2_hpy.f90 + real dimension(*),intent(inout) :: fxy + integer intent(in) :: nx + integer intent(in) :: ny + integer intent(in) :: nxe + integer intent(in) :: nye + end subroutine cguard2l + end interface + interface ! in :fpush2 + subroutine aguard2l(q,nx,ny,nxe,nye) ! in :fpush2:push2_hpy.f90 + real dimension(*),intent(inout) :: q + integer intent(in) :: nx + integer intent(in) :: ny + integer intent(in) :: nxe + integer intent(in) :: nye + end subroutine aguard2l + end interface + interface ! in :fpush2 + subroutine pois22(q,fxy,isign,ffc,ax,ay,affp,we,nx,ny,nxvh,nyv,nxhd,nyhd) ! in :fpush2:push2_hpy.f90 + real dimension(*),intent(in) :: q + real dimension(*),intent(inout) :: fxy + integer intent(in) :: isign + complex dimension(*),intent(inout) :: ffc + real intent(in) :: ax + real intent(in) :: ay + real intent(in) :: affp + real intent(inout) :: we + integer intent(in) :: nx + integer intent(in) :: ny + integer intent(in) :: nxvh + integer intent(in) :: nyv + integer intent(in) :: nxhd + integer intent(in) :: nyhd + end subroutine pois22 + end interface + interface ! in :fpush2 + subroutine wfft2rinit(mixup,sct,indx,indy,nxhyd,nxyhd) ! in :fpush2:push2_hpy.f90 + integer dimension(*),intent(inout) :: mixup + complex dimension(*),intent(inout) :: sct + integer intent(in) :: indx + integer intent(in) :: indy + integer intent(in) :: nxhyd + integer intent(in) :: nxyhd + end subroutine wfft2rinit + end interface + interface ! in :fpush2 + subroutine wfft2rx(f,isign,mixup,sct,indx,indy,nxhd,nyd,nxhyd,nxyhd) ! in :fpush2:push2_hpy.f90 + real dimension(*),intent(inout) :: f + integer :: isign + integer dimension(*),intent(inout) :: mixup + complex dimension(*),intent(inout) :: sct + integer :: indx + integer :: indy + integer :: nxhd + integer :: nyd + integer :: nxhyd + integer :: nxyhd + end subroutine wfft2rx + end interface + interface ! in :fpush2 + subroutine wfft2r2(f,isign,mixup,sct,indx,indy,nxhd,nyd,nxhyd,nxyhd) ! in :fpush2:push2_hpy.f90 + real dimension(*),intent(inout) :: f + integer intent(in) :: isign + integer dimension(*),intent(inout) :: mixup + complex dimension(*),intent(inout) :: sct + integer intent(in) :: indx + integer intent(in) :: indy + integer intent(in) :: nxhd + integer intent(in) :: nyd + integer intent(in) :: nxhyd + integer intent(in) :: nxyhd + end subroutine wfft2r2 + end interface + interface ! in :fpush2 + subroutine fft2rxx(f,isign,mixup,sct,indx,indy,nyi,nyp,nxhd,nyd,nxhyd,nxyhd) ! in :fpush2:push2_hpy.f90 + real dimension(*),intent(inout) :: f + integer intent(in) :: isign + integer dimension(*),intent(inout) :: mixup + complex dimension(*),intent(inout) :: sct + integer intent(in) :: indx + integer intent(in) :: indy + integer intent(in) :: nyi + integer intent(in) :: nyp + integer intent(in) :: nxhd + integer intent(in) :: nyd + integer intent(in) :: nxhyd + integer intent(in) :: nxyhd + end subroutine fft2rxx + end interface + interface ! in :fpush2 + subroutine fft2rxy(f,isign,mixup,sct,indx,indy,nxi,nxp,nxhd,nyd,nxhyd,nxyhd) ! in :fpush2:push2_hpy.f90 + real dimension(*),intent(inout) :: f + integer intent(in) :: isign + integer dimension(*),intent(inout) :: mixup + complex dimension(*),intent(inout) :: sct + integer intent(in) :: indx + integer intent(in) :: indy + integer intent(in) :: nxi + integer intent(in) :: nxp + integer intent(in) :: nxhd + integer intent(in) :: nyd + integer intent(in) :: nxhyd + integer intent(in) :: nxyhd + end subroutine fft2rxy + end interface + interface ! in :fpush2 + subroutine fft2r2x(f,isign,mixup,sct,indx,indy,nyi,nyp,nxhd,nyd,nxhyd,nxyhd) ! in :fpush2:push2_hpy.f90 + real dimension(*),intent(inout) :: f + integer intent(in) :: isign + integer dimension(*),intent(inout) :: mixup + complex dimension(*),intent(inout) :: sct + integer intent(in) :: indx + integer intent(in) :: indy + integer intent(in) :: nyi + integer intent(in) :: nyp + integer intent(in) :: nxhd + integer intent(in) :: nyd + integer intent(in) :: nxhyd + integer intent(in) :: nxyhd + end subroutine fft2r2x + end interface + interface ! in :fpush2 + subroutine fft2r2y(f,isign,mixup,sct,indx,indy,nxi,nxp,nxhd,nyd,nxhyd,nxyhd) ! in :fpush2:push2_hpy.f90 + real dimension(*),intent(inout) :: f + integer intent(in) :: isign + integer dimension(*),intent(inout) :: mixup + complex dimension(*),intent(inout) :: sct + integer intent(in) :: indx + integer intent(in) :: indy + integer intent(in) :: nxi + integer intent(in) :: nxp + integer intent(in) :: nxhd + integer intent(in) :: nyd + integer intent(in) :: nxhyd + integer intent(in) :: nxyhd + end subroutine fft2r2y + end interface + interface ! in :fpush2 + function ranorm() ! in :fpush2:push2_hpy.f90 + double precision :: ranorm + end function ranorm + end interface + interface ! in :fpush2 + function randum() ! in :fpush2:push2_hpy.f90 + double precision :: randum + end function randum + end interface +end python module fpush2 + +! This file was auto-generated with f2py (version:2). +! See http://cens.ioc.ee/projects/f2py2e/ diff --git a/serial/python_pic2/Pic2.py b/serial/python_pic2/Pic2.py index fe51c90..78216de 100644 --- a/serial/python_pic2/Pic2.py +++ b/serial/python_pic2/Pic2.py @@ -19,7 +19,7 @@ def main(): #indx = 3; indy=3 #number of particles in each direction #npx = 2024; npy = 2024 - npx = 2048;npy = 2048 + npx = 3072;npy = 3072 #ndim = number dimensions ndim =2 #tend = time at end of plasma simulation in units of plasma freq. @@ -34,7 +34,7 @@ def main(): # idimp = number of particle coordinates = 4 # ipbc = particle boundary condition: 1 = periodic, 2 = reflecting # sortime = number of time steps between standard electron sorting - idimp = 4; ipbc = 2; sortime = 50 + idimp = 4; ipbc = 1; sortime = 50 # wke/we/wt = particle kinetic/electric field/total energy wke = np.zeros((1),float_type) we = np.zeros((1),float_type) @@ -195,7 +195,6 @@ def main(): freq_end = 3 fx_st = int(freq_start*dt*nloop/(2*np.pi)) fx_end = int(freq_end*dt*nloop/(2*np.pi)) - 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debugging purposes - -# #deposit particles -# def deposit(part,qe,qme,nptot,idimp,nxe,nye): -# t = time.time() -# f = 0 -# f2 = 0 -# print 'hi' - -# for j in xrange(nptot): -# if(j% 100000 == 0): -# print j -# print f -# print f2 -# t2 = time.time() -# #xxyy = part[:,j] -# xx = part[0,j] -# yy = part[1,j] -# x_floor = int(xx) -# y_floor = int(yy) -# dx = xx-x_floor -# dy = yy-y_floor -# f+= time.time()-t2 -# adx = 1.0-dx -# ady = 1.0-dy -# #mm = nxe*y_floor -# #mp = mm +nxe -# #np = x_floor+1 -# t2 = time.time() -# qe.itemset((x_floor,y_floor),qe.item(x_floor,y_floor)+qme*adx*ady) -# qe.itemset((x_floor,y_floor+1),qe.item(x_floor,y_floor+1)+qme*adx*dy) -# qe.itemset((x_floor+1,y_floor),qe.item(x_floor+1,y_floor)+qme*dx*ady) -# qe.itemset((x_floor+1,y_floor+1),qe.item(x_floor+1,y_floor+1)+qme*dx*dy) - -# f2+= time.time()-t2 -# #f += time.time()-t2 -# print time.time()-t - - - #weight the forces - # np.multiply(force_re[0,flo_x,flo_y],a1,da[0,:]) - # np.multiply(force_re[1,flo_x,flo_y],a1,da[1,:]) - # np.multiply(force_re[0,flo_x,flo_y+1],a2,temp[0,:]) - # np.multiply(force_re[1,flo_x,flo_y+1],a2,temp[1,:]) - # np.add(da,temp,da) - # np.multiply(force_re[0,flo_x+1,flo_y],a3,temp[0,:]) - # np.multiply(force_re[1,flo_x+1,flo_y],a3,temp[1,:]) - # np.add(da,temp,da) - # np.multiply(force_re[0,flo_x+1,flo_y+1],a4,temp[0,:]) - # np.multiply(force_re[1,flo_x+1,flo_y+1],a4,temp[1,:]) - # np.add(da,temp,da) \ No newline at end of file diff --git a/serial/python_pic2/push.pyc b/serial/python_pic2/push.pyc index 6d284b1102f67aa10f3ed99cce378746d59a1ca4..b96bad32190d5756f48a4c88474280b23b3cffbc 100644 GIT binary patch delta 901 zcmY*XOKTHR6h1ePNis8eG^RLdpi+D=ZK?~g!MgI*T0vagN|m8d(#(xb(mXq*4KAc8 zF2!&WimsI6%H3?Fd%=ZE7YhD|E?fvAwCCJ3rI}&A`cpgcZ}ki6{~UCk8Hn8-#To>IOIlFkyfjf|md<7&s=l zVd734NY@5>0^A7l-kv>9x;fA@;4)aWihEVJj8&3rf z%GZ&1S_B0il~$e)9bDb99o9mzs?#A4k%Um?Sno*eq{%1*dyBRc4G#ojj<7 zEx{8fyrrbtc7N&e%e13v6!n&8pw(Gxu57e7i*h-&#=7!r>i--?;nX9)OYUKWit6w_ 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