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arXiv · 1309.5221

A multi-dimensional numerical scheme for two-fluid Relativistic MHD

Maxim Barkov·Serguei S. Komissarov·Vitaly Korolev·Andrey Zankovich
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Abstract

The paper describes an explicit multi-dimensional 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 WENO interpolation. The time integration is carried out using the third order TVD 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.

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Maxim Barkov, Serguei S. Komissarov, Vitaly Korolev, Andrey Zankovich. 2014-04-16. A multi-dimensional numerical scheme for two-fluid Relativistic MHD. https://doi.org/10.1093/mnras%2Fstt2247

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