A multi-dimensional numerical scheme for two-fluid Relativistic MHD
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.
Cite
@article{arxiv.1309.5221,
title = {A multi-dimensional numerical scheme for two-fluid Relativistic MHD},
author = {Maxim Barkov and Serguei S. Komissarov and Vitaly Korolev and Andrey Zankovich},
journal= {arXiv preprint arXiv:1309.5221},
year = {2015}
}
Comments
Typos corrected, new material added, 18 pages, 9 figures, published in MNRAS