2006/12/31 by S. Bonazzola, Loïc Villain, L. Villain +1 · 2 citations
Mathematics · Physics and Astronomy · #Algorithm #Astrophysics #Character (mathematics) #Classical mechanics #Code (set theory) #Computer science #Dissipative system #Gamma-ray bursts and supernovae #Geometry #Magnetohydrodynamics #Mathematical analysis #Mathematics #Physics #Plasma #Programming language #Pulsars and Gravitational Waves Research #Quantum mechanics #Solar and Space Plasma Dynamics #Spectral method #Stars #Statistical physics #Theoretical physics #astro-ph #gr-qc
paper · pdf · doi:10.1088/0264-9381/24/12/s15
published as Class.Quant.Grav.24:S221-S234,2007 · 15 pages, 4 figures (new figure added, misprints corrected) Article accepted for publication in a special issue of Classical and Quantum Gravity "New Frontiers in Numerical Relativity"
arxiv created 2007/02/15 · openalex publication_date 2007/06/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 paper, we mainly outline the method, putting emphasis on algorithmic techniques that enable to benefit as much as possible from the non-dissipative character of spectral methods, showing also a potential astrophysical application and providing a few illustrative tests.