2007/12/03 by Burkhard Zink, Erik Schnetter, Manuel Tiglio · 4 citations
Physics and Astronomy · #Active galactic nucleus #Astrophysical Phenomena and Observations #Astrophysical jet #Astrophysics #Black hole (networking) #Classical mechanics #Computer science #Galaxy #Gamma-ray bursts and supernovae #Geometry #Gravitational singularity #Neutron star #Physics #Pulsars and Gravitational Waves Research #Spherical coordinate system #Theoretical physics #Torus #astro-ph #astro-ph.HE #gr-qc
paper · pdf · doi:10.1103/physrevd.77.103015
published as Phys.Rev.D77:103015,2008 · 26 pages, 20 figures. A high-resolution version is available at http://www.cct.lsu.edu/~bzink/papers/multipatch_1.pdf
arxiv created 2007/12/03 · openalex publication_date 2008/05/30 · arxiv updated 2010/11/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Many systems of interest in general relativistic astrophysics, including neutron stars, accreting compact objects in x-ray binaries and active galactic nuclei, core collapse, and collapsars, are assumed to be approximately spherically symmetric or axisymmetric. In Newtonian or fixed-background relativistic approximations it is common practice to use spherical polar coordinates for computational grids; however, these coordinates have singularities and are difficult to use in fully relativistic models. We present, in this series of papers, a numerical technique which is able to use effectively spherical grids by employing multiple patches. We provide detailed instructions on how to implement such a scheme, and present a number of code tests for the fixed-background case, including an accretion torus around a black hole.