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| Paper: |
A New Numerical Scheme for Relativistic Magnetohydrodynamics with Dissipation and Its Application |
| Volume: |
488, 8th International Conference of Numerical Modeling of Space Plasma Flows (ASTRONUM 2013) |
| Page: |
267 |
| Authors: |
Takamoto, M. |
| Abstract: |
In this paper, we describe classical problems of the relativistic hydrodynamics with dissipations and their solutions. We explain mathematical features of the relativistic dissipative hydrodynamic equations using a simplified model equation, and show that the simple relativistic extension of the non-relativistic Navier–Stokes equation is causal and unstable to perturbations. We also explain one of the most famous solutions of this problem using a simplified equation. We present a brief explanation of our new numerical scheme for relativistic dissipative hydrodynamics and show a result of numerical calculations. |
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