Multi-patch methods in general relativistic astrophysics - I. Hydrodynamical flows on fixed backgrounds
| Autor: | Zink, Burkhard, Schnetter, Erik, Tiglio, Manuel |
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| Rok vydání: | 2007 |
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| Zdroj: | Phys.Rev.D77:103015,2008 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.77.103015 |
| Popis: | 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. Comment: 26 pages, 20 figures. A high-resolution version is available at http://www.cct.lsu.edu/~bzink/papers/multipatch_1.pdf |
| Databáze: | arXiv |
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