A multidimensional numerical scheme for two-fluid relativistic magnetohydrodynamics

被引:19
作者
Barkov, Maxim [1 ,2 ]
Komissarov, Serguei S. [3 ]
Korolev, Vitaly [4 ]
Zankovich, Andrey [4 ]
机构
[1] Max Planck Inst Kernphys, D-69117 Heidelberg, Germany
[2] Space Res Inst RAS, Moscow 117997, Russia
[3] Univ Leeds, Dept Appl Math, Leeds LS2 9GT, W Yorkshire, England
[4] Volgograd State Univ, Volgograd 400062, Russia
关键词
magnetic fields; MHD; plasmas; relativistic processes; waves; methods: numerical; ELECTROMAGNETIC-WAVES; MAGNETIC RECONNECTION; PLASMA; SIMULATIONS; HYDRODYNAMICS; EQUATIONS; SHOCKS; STATE;
D O I
10.1093/mnras/stt2247
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
This paper describes an explicit multidimensional numerical scheme for special relativistic two-fluid magnetohydrodynamics of electron-positron plasma and a suit of test problems. The scheme utilizes Cartesian grid and the third-order weighted essentially non-oscillatory interpolation. Time integration is carried out using the third-order total variation diminishing method of Runge-Kutta type, thus ensuring overall third-order accuracy on smooth solutions. The magnetic field is kept near divergence-free by means of the method of generalized Lagrange multiplier. The test simulations, which include linear and non-linear continuous plasma waves, shock waves, strong explosions and the tearing instability, show that the scheme is sufficiently robust and confirm its accuracy.
引用
收藏
页码:704 / 716
页数:13
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