Open AccessAn HLLC Riemann solver for relativistic flows – I. Hydrodynamics
Author(s) -
Mig A.,
Bodo G.
Publication year - 2005
Publication title -
monthly notices of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.058
H-Index - 383
eISSN - 1365-2966
pISSN - 0035-8711
DOI - 10.1111/j.1365-2966.2005.09546.x
Subject(s) - riemann solver , riemann problem , physics , solver , roe solver , riemann hypothesis , mathematics , scheme (mathematics) , extension (predicate logic) , classical mechanics , godunov's scheme , mathematical analysis , numerical analysis , mechanics , mathematical optimization , computer science , finite volume method , programming language
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.