A Godunov-type scheme for relativistic magnetohydrodynamics
A Godunov-type scheme for relativistic magnetohydrodynamics
The basic properties of relativistic magnetohydrodynamics, as a hyperbolic system of quasi-linear conservation laws, are discussed. These are then used to develop a multidimensional Godunov-type numerical scheme that enforces the magnetic flux conservation. This scheme is based on linear Riemann solvers and has second-order accuracy in smooth regions. The results …