Various Riemann problems that serve as standard test cases are computed. The examples demonstrate basic adaptive functionality in one space dimension.
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.
Reference: E.F. Toro, Riemann solvers and numerical methods for fluid dynamics, Springer-Verlag Berlin Heidelberg, 1999