%0 Journal Article
%T A multi-dimensional numerical scheme for two-fluid Relativistic MHD
%A Maxim Barkov
%A Serguei S. Komissarov
%A Vitaly Korolev
%A Andrey Zankovich
%J Physics
%D 2013
%I arXiv
%R 10.1093/mnras/stt2247
%X 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.
%U http://arxiv.org/abs/1309.5221v3