An HLLC Riemann Solver for Relativistic Flows: I. Hydrodynamics

Details An HLLC Riemann Solver for Relativistic Flows: I. Hydrodynamics An HLLC Riemann Solver for Relativistic Flows: I. Hydrodynamics

2005-06-17

arxiv.org/abs/astro-ph/0506414v2

Astronomy and Astrophysics

Astrophysics

12 pages, 12 figures

Scientific paper

We present an extension of the HLLC approximate Riemann solver by Toro, Spruce and Speares to the relativistic equations of fluid dynamics. The solver retains the simplicity of the original two-wave formulation proposed by Harten, Lax and van Leer (HLL) but it restores the missing contact wave in the solution of the Riemann problem. The resulting numerical scheme is computationally efficient, robust and positively conservative. The performance of the new solver is evaluated through numerical testing in one and two dimensions.

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