A Godunov-type scheme for relativistic magnetohydrodynamics

Details A Godunov-type scheme for relativistic magnetohydrodynamics A Godunov-type scheme for relativistic magnetohydrodynamics

Feb 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999mnras.303..343k&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Volume 303, Issue 2, pp. 343-366.

Astronomy and Astrophysics

Astronomy

108

Mhd, Relativity, Shock Waves, Methods: Numerical

Scientific paper

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.

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