Open AccessAn approximate Riemann solver for relativistic magnetohydrodynamics
Author(s) -
Koldoba A. V.,
Kuznetsov O. A.,
Ustyugova G. V.
Publication year - 2002
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.1365-8711.2002.05474.x
Subject(s) - physics , riemann solver , riemann problem , magnetohydrodynamics , godunov's scheme , magnetohydrodynamic drive , riemann hypothesis , classical mechanics , solver , mathematical physics , mathematics , mathematical analysis , mechanics , plasma , numerical analysis , quantum mechanics , finite volume method , mathematical optimization
A Godunov‐type scheme for relativistic magnetohydrodynamic (MHD) equations is developed. We consider the Maxwell equations and dynamic equations for a gas with perfect conductivity in hyperbolic form as was suggested by van Putten. To calculate the fluxes of conservative variables through cells’ interfaces we suggest an algorithm for the solution of the linearized Riemann problem. ‘Primitive’ variables are calculated by solving a non‐linear system using the Newton method.