1D Euler equations - Shocktube

Problem description

Various Riemann problems that serve as standard test cases are computed. The examples demonstrate basic adaptive functionality in one space dimension.

Initial / Boundary Conditions

Test	rhol	ul	pl	rhor	ur	pr	x0	tend
1	3.0	0.0	3.0	1.0	0.0	1.0	0.5	0.3
2	1.0	0.75	1.0	0.125	0.0	0.1	0.3	0.2
3	1.0	-2.0	0.4	1.0	2.0	0.4	0.5	0.15
4	1.0	0.0	1000.0	1.0	0.0	0.01	0.5	0.012
5	5.999240	19.59750	460.894	5.999242	-6.19633	46.095	0.5	0.035
6	1.0	-19.59745	1000.0	1.0	-19.59745	0.01	0.8	0.012

Outflow boundary conditions at both sides.

Numerical Simulation

• One-dimensional Euler-equations for an ideal gas (Air with gamma=1.4)
• Van Leer solver, MUSCL variable reconstruction with Minmod limiter
• Calculation with CFL-No. 0.8
• AMR-computation with a coarse grid of 200 cells
• 2 levels with refinement factor 2 and 4 are used.
• Finest level corresponds to 1600 cells

Reference: E.F. Toro, Riemann solvers and numerical methods for fluid dynamics, Springer-Verlag Berlin Heidelberg, 1999

Results: 3 Levels

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-- RalfDeiterding - 06 Dec 2004