An HLLC Riemann solver for magneto-hydrodynamics

  • Authors:

  • Shengtai Li

  • Affiliations:

  • Theoretical Division, MS B284, Los Alamos National Laboratory, Los Alamos, NM 87545, USA

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2005

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Abstract

This paper extends a class of approximate Riemann solvers devised by Harten, Lax and van Leer (HLL) for Euler equations of hydrodynamics to magneto-hydrodynamics (MHD) equations. In particular, we extend the two-state HLLC (HLL for contact wave) construction of Toro, Spruce and Speares to MHD equations. We derive a set of HLLC middle states that satisfies the conservation laws. Numerical examples are given to demonstrate that the new MHD-HLLC solver can achieve high numerical resolution, especially for resolving contact discontinuity. In addition, this new solver maintains a high computational efficiency when compared to Roe's approximate Riemann solver.