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

Barkov, Maxim; Komissarov, Serguei S.; Korolev, Vitaly; Zankovich, Andrey

doi:10.1093/mnras/stt2247

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

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Barkov, Maxim
Division Prof. Dr. Werner Hofmann, MPI for Nuclear Physics, Max Planck Society;
Space Research Institute RAS, 84/32 Profsoyuznaya Street, Moscow 117997;

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Citation

Barkov, M., Komissarov, S. S., Korolev, V., & Zankovich, A. (2014). A multi-dimensional numerical scheme for two-fluid Relativistic MHD. Monthly Notices of the Royal Astronomical Society, 438(1), 704-716. doi:10.1093/mnras/stt2247.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0018-BC75-7

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.