MHD of rotating compact stars with spectral methods: description of the algorithm and tests

Details MHD of rotating compact stars with spectral methods: description of the algorithm and tests MHD of rotating compact stars with spectral methods: description of the algorithm and tests

2006-12-08

arxiv.org/abs/gr-qc/0612049v2

Class.Quant.Grav.24:S221-S234,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 4 figures (new figure added, misprints corrected) Article accepted for publication in a special issue of Classical a

Scientific paper

10.1088/0264-9381/24/12/S15

A flexible spectral code for the study of general relativistic magnetohydrodynamics is presented. Aiming at investigating the physics of slowly rotating magnetized compact stars, this new code makes use of various physically motivated approximations. Among them, the relativistic anelastic approximation is a key ingredient of the current version of the code. In this article, we mainly outline the method, putting emphasis on algorithmic techniques that enable to benefit as much as possible of the non-dissipative character of spectral methods, showing also a potential astrophysical application and providing a few illustrative tests.

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