HARM: A Numerical Scheme for General Relativistic Magnetohydrodynamics

Details HARM: A Numerical Scheme for General Relativistic Magnetohydrodynamics HARM: A Numerical Scheme for General Relativistic Magnetohydrodynamics

2003-01-25

arxiv.org/abs/astro-ph/0301509v1

Astrophys.J. 589 (2003) 444-457

Astronomy and Astrophysics

Astrophysics

38 pages, 18 figures, submitted to ApJ

Scientific paper

10.1086/374594

We describe a conservative, shock-capturing scheme for evolving the equations of general relativistic magnetohydrodynamics. The fluxes are calculated using the Harten, Lax, and van Leer scheme. A variant of constrained transport, proposed earlier by T\'oth, is used to maintain a divergence free magnetic field. Only the covariant form of the metric in a coordinate basis is required to specify the geometry. We describe code performance on a full suite of test problems in both special and general relativity. On smooth flows we show that it converges at second order. We conclude by showing some results from the evolution of a magnetized torus near a rotating black hole.

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