Astronomy and Astrophysics – Astrophysics
Scientific paper
2007-12-03
Phys.Rev.D77:103015,2008
Astronomy and Astrophysics
Astrophysics
26 pages, 20 figures. A high-resolution version is available at http://www.cct.lsu.edu/~bzink/papers/multipatch_1.pdf
Scientific paper
10.1103/PhysRevD.77.103015
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.
Schnetter Erik
Tiglio} Manuel
Zink Burkhard
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