Multipatch methods in general relativistic astrophysics: Hydrodynamical flows on fixed backgrounds

摘要: Many systems of interest in general relativistic astrophysics, including neutron stars, accreting compact objects x-ray binaries and active galactic nuclei, core collapse, collapsars, are assumed to be approximately spherically symmetric or axisymmetric. In Newtonian fixed-background approximations it is common practice use spherical polar coordinates for computational grids; however, these have singularities difficult fully models. We present, this series papers, a numerical technique which able effectively grids by employing multiple patches. provide detailed instructions on how implement such scheme, present number code tests the case, an accretion torus around black hole.