Open AccessA Godunov‐type scheme for relativistic magnetohydrodynamics
Author(s) -
Komissarov S. S.
Publication year - 1999
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 - 10.1046/j.1365-8711.1999.02244.x
Subject(s) - physics , godunov's scheme , conservation law , magnetohydrodynamics , riemann problem , scheme (mathematics) , riemann hypothesis , roe solver , type (biology) , classical mechanics , mathematics , riemann solver , theoretical physics , astrophysics , mathematical analysis , mechanics , numerical analysis , magnetic field , finite volume method , quantum mechanics , ecology , biology
The basic properties of relativistic magnetohydrodynamics, as a hyperbolic system of quasi‐linear conservation laws, are discussed. These are then used to develop a multidimensional Godunov‐type numerical scheme that enforces the magnetic flux conservation. This scheme is based on linear Riemann solvers and has second‐order accuracy in smooth regions. The results of thorough test calculations demonstrate that the scheme is robust and can cope with truly ultrarelativistic problems.