A Godunov-type scheme for relativistic magnetohydrodynamics

被引:210
作者
Komissarov, SS [1 ]
机构
[1] Univ Leeds, Dept Appl Math, Leeds LS2 9JT, W Yorkshire, England
[2] PN Lebedev Phys Inst, Astrospace Ctr, Moscow 117924, Russia
关键词
MHD; relativity; shock waves; methods : numerical;
D O I
10.1046/j.1365-8711.1999.02244.x
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The basic properties of relativistic magnetohydrodynamics, as a hyperbolic system of quasilinear 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.
引用
收藏
页码:343 / 366
页数:24
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