autotest.md

AUTOMATIC TEST RESULTS

The results below are automatically generated by running python3 python/autotest.py and reloading this script (using Jupyter for instance).

Test 1: Convergence rates

The linear transport equation is solved in 1D inside a cyclic domain x=[0,1] using the following initial conditions:

$$u(x,0)=1+0.5\sin(2\pi x)$$

The advection velocity is $a=1$ and the simulation time is t=5 s. The numerical errors are computed using the L_1 error norms by comparing with the exact solution:

$$u(x,0)=1+0.5\sin(2\pi (x-at))$$

Test 2: Riemann Problem RP1

This RP involves a equilibrium state that must be preserved with machine accuracy by the solver:

	Left	Right
$\rho$	1.0	1.0
$p$	1.0	1.0
$u$	0.0	0.0
$\phi$	1.0	0.0

Test 3: Riemann Problem RP2

This RP consists of the typical sod-shock tube problem:

	Left	Right
$\rho$	1.0	0.125
$p$	1.0	0.1
$u$	0.0	0.0
$\phi$	1.666	5.0

Test 4: Riemann Problem RP3

This RP considers a nonz-zero velocity:

	Left	Right
$\rho$	5.99924	5.99242
$p$	460.894	46.0950
$u$	19.5975	-6.19633
$\phi$	1.0	0.0

Test 5: Riemann Problem RP4

This is a test case from Rémi Abgrall, Smadar Karni, Computations of Compressible Multifluids, Journal of Computational Physics, Volume 169, Issue 2, 2001, Pages 594-623.

	Left	Right
$\rho$	1.0	0.125
$p$	1.0	0.1
$u$	0.0	0.0
$\gamma$	1.40	1.60

Test 6: Colliding thermals