A Riemann-solver Free Space-time Discontinuous Galerkin Method for Magnetohydrodynamics

摘要

This paper extends a Riemann-solver free space-time discontinuous Galerkin method to solve the magnetohydrodynamics (MHD) equations. The method is applied to solve the 3×3 MHD model system in the phase space which exactly preserves the MHD hyperbolic singularities. Numerical results show that the method is able to solve the model system correctly, which makes the method very promising in solving the complete ideal MHD equations.