A numerical implementation of MHD in divergence form

Statistics – Computation

Scientific paper

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Cosmic Plasma, Magnetic Field Configurations, Magnetohydrodynamic Flow, Shock Heating, Cauchy Problem, Computational Astrophysics, Divergence

Scientific paper

Shock computations are presently undertaken by a numerical implementation of fully relativistic MHD in divergence form, as illustrated by pseudospectral-method computations for the coplanar Riemann MHD problem. Compound waves are noted to persist in relativistic MHD. Attention is given to two limiting cases: (1) where the velocities become nonrelativistic, and (2) where the longitudinal magnetic field becomes zero. Comparisons are made with results for both the singular case of zero longitudinal magnetic field, and nonrelativistic MHD.

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