HLLC solver for ideal relativistic MHD

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