A New numerical scheme for resistive relativistic MHD using method of characteristics
Abstract
We present a new numerical method of special relativistic resistive magnetohydrodynamics with scalar resistivity that can treat a range of phenomena, from nonrelativistic to relativistic (shock, contact discontinuity, and Alfv\'en wave). The present scheme calculates the numerical flux of fluid by using an approximate Riemann solver, and electromagnetic field by using the method of characteristics. Since this scheme uses appropriate characteristic velocities, it is capable of accurately solving problems that cannot be approximated as ideal magnetohydrodynamics and whose characteristic velocity is much lower than light velocity. The numerical results show that our scheme can solve the above problems as well as nearly ideal MHD problems. Our new scheme is particularly well suited to systems with initially weak magnetic field, and mixed phenomena of relativistic and non-relativistic velocity; for example, MRI in accretion disk, and super Alfv\'enic turbulence.
Keywords
Cite
@article{arxiv.1105.5683,
title = {A New numerical scheme for resistive relativistic MHD using method of characteristics},
author = {Makoto Takamoto and Tsuyoshi Inoue},
journal= {arXiv preprint arXiv:1105.5683},
year = {2015}
}
Comments
15 pages, 20 figures, accepted in ApJ