A simple Riemann solver and high-order Godunov schemes for hyperbolic systems of conservation laws
The authors develop a simple approximate Riemann solver for hyperbolic systems of conservation laws for its use in high-order Godunov schemes. The scheme is tested through numerical examples involving strong shocks in Euler and ideal magnetohydrodynamical equations. The correctness and robustness of the scheme are also demonstrated.
scientific article; zbMATH DE number 819453