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Paper: Building a Numerical Relativistic Non-ideal Magnetohydrodynamics Code for Astrophysical Applications
Volume: 488, 8th International Conference of Numerical Modeling of Space Plasma Flows (ASTRONUM 2013)
Page: 249
Authors: Aranguren, S. M.; Aloy, M.A.; Aloy-Torás, C.
Abstract: Including resistive effects in relativistic magnetized plasmas is a challenging task, that a number of authors have recently tackled employing different methods. From the numerical point of view, the difficulty in including non-ideal terms arises from the fact that, in the limit of very high plasma conductivity (i.e., close to the ideal MHD limit), the system of governing equations becomes stiff, and the standard explicit integrating methods produce instabilities that destroy the numerical solution. To deal with such a difficulty, we have extended the relativistic MHD code MRGENESIS, to include a number of Implicit Explicit Runge-Kutta (IMEX-RK) numerical methods. To validate the implementation of the IMEX-RK schemes, several standard tests are presented in one and two spatial dimensions, covering different conductivity regimes.
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