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.

Typos corrected, new material added, 18 pages, 9 figures, published in MNRAS

References in corpus (6)

• Multi-dimensional Numerical Scheme for Resistive Relativistic MHD
• Tearing instability in relativistic magnetically dominated plasmas
• Two-Fluid Magnetohydrodynamic Simulations of Relativistic Magnetic Reconnection
• Entropy Stable Numerical Schemes for Two-Fluid Plasma Equations
• Relativistic Two-fluid Simulations of Guide Field Magnetic Reconnection
• Numerical Construction of Magnetosphere with Relativistic Two-fluid Plasma Flows

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