Open AccessA Numerical Method for General Relativistic Magnetohydrodynamics
Author(s) -
JeanPierre De Villiers,
John F. Hawley
Publication year - 2003
Publication title -
the astrophysical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.376
H-Index - 489
eISSN - 1538-4357
pISSN - 0004-637X
DOI - 10.1086/373949
Subject(s) - magnetohydrodynamics , physics , magnetorotational instability , magnetohydrodynamic drive , minkowski space , kerr metric , classical mechanics , inflow , black hole (networking) , mechanics , rotating black hole , magnetic field , schwarzschild metric , mathematical physics , general relativity , computer science , quantum mechanics , computer network , routing protocol , routing (electronic design automation) , angular momentum , link state routing protocol
This paper describes the development and testing of a general relativisticmagnetohydrodynamic (GRMHD) code to study ideal MHD in the fixed background ofa Kerr black hole. The code is a direct extension of the hydrodynamic code ofHawley, Smarr, and Wilson, and uses Evans and Hawley constrained transport (CT)to evolve the magnetic fields. Two categories of test cases were undertaken. Aone dimensional version of the code (Minkowski metric) was used to verify codeperformance in the special relativistic limit. The tests include Alfv\'en wavepropagation, fast and slow magnetosonic shocks, rarefaction waves, and bothrelativistic and non-relativistic shock tubes. A series of one- andtwo-dimensional tests were also carried out in the Kerr metric: magnetizedBondi inflow, a magnetized inflow test due to Gammie, and two-dimensionalmagnetized constant-$l$ tori that are subject to the magnetorotationalinstability.
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