An approximate Riemann solver for relativistic magnetohydrodynamics

Details An approximate Riemann solver for relativistic magnetohydrodynamics An approximate Riemann solver for relativistic magnetohydrodynamics

Jul 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002mnras.333..932k&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Volume 333, Issue 4, pp. 932-942.

Astronomy and Astrophysics

Astronomy

19

Mhd, Relativity, Shock Waves, Methods: Numerical, Mhd, Relativity, Shock Waves, Methods: Numerical

Scientific paper

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.

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