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HLLC solver for ideal relativistic MHD. (English) Zbl 1111.76036
Summary: We develop an approximate Riemann solver of Godunov type for ideal relativistic magnetohydrodynamic equations named as HLLC (“C” denotes contact). In HLLC the Riemann fan is approximated by two intermediate states, which are separated by entropy wave. Numerical tests show that HLLC resolves contact discontinuity more accurately than the Harten-Lax-van Leer (HLL) method, and resolves an isolated contact discontinuity exactly.

76M12 Finite volume methods applied to problems in fluid mechanics
76W05 Magnetohydrodynamics and electrohydrodynamics
76Y05 Quantum hydrodynamics and relativistic hydrodynamics
Full Text: DOI
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