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A stable HLLC Riemann solver for relativistic magnetohydrodynamics. (English) Zbl 1349.76618
Summary: In this short note we improve on an HLLC Riemann solver for relativistic magnetohydrodynamics (MHD). The improvement consists in realizing that density jumps as well as jumps in the transverse velocity can be safely incorporated into the HLLC Riemann solver for relativistic MHD. The iteration process described here is low cost, stable and fast-converging. It obviates the need to have one formulation when the longitudinal magnetic field is non-zero and another when it vanishes. Excellent operation is shown on several test problems.

76M25 Other numerical methods (fluid mechanics) (MSC2010)
65M25 Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs
76W05 Magnetohydrodynamics and electrohydrodynamics
76Y05 Quantum hydrodynamics and relativistic hydrodynamics
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
Full Text: DOI
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