Relativistic simulations of rotational core collapse : I. Methods, initial models, and code tests
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Relativistic simulations of rotational core collapse : I. Methods, initial models, and code tests

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Relativistic simulations of rotational core collapse : I. Methods, initial models, and code tests

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dc.contributor.author Dimmelmeier, H.
dc.contributor.author Font Roda, José Antonio
dc.contributor.author Müller, E.
dc.date.accessioned 2010-06-18T07:43:20Z
dc.date.available 2010-06-18T07:43:20Z
dc.date.issued 2002
dc.identifier.uri http://hdl.handle.net/10550/12979
dc.description.abstract We describe an axisymmetric general relativistic code for rotational core collapse. The code evolves the coupled system of metric and fluid equations using the ADM 3+1 formalism and a conformally flat metric approximation of the Einstein equations. Within this approximation the ADM 3+1 equations reduce to a set of five coupled non-linear elliptic equations for the metric components. The equations are discretized on a 2D grid in spherical polar coordinates and are solved by means of a Newton-Raphson iteration using a block elimination scheme to solve the diagonally dominant, sparse linear system arising within each iteration step. The relativistic hydrodynamics equations are formulated as a rst-order flux-conservative hyperbolic system and are integrated using high-resolution shock-capturing schemes based on Riemann solvers. We assess the quality of the conformally flat metric approximation for relativistic core collapse and present a comprehensive set of tests that the code successfully passed. The tests include relativistic shock tubes, the preservation of the rotation pro le and of the equilibrium of rapidly and di erentially rotating neutron stars (approximated as rotating polytropes), spherical relativistic core collapse, and the conservation of rest-mass and angular momentum in dynamic spacetimes. The application of the code to relativistic rotational core collapse, with emphasis on the gravitational waveform signature, is presented in an accompanying paper. en
dc.language.iso en en
dc.relation http://www.aanda.org/index.php?option=article&access=standard&Itemid=129&url=/articles/aa/pdf/2002/24/aa2375.pdf en
dc.source DIMMELMEIER, H. ; Font Roda, Jose Antonio ; Müller, E., 2002, Relativistic simulations of rotational core collapse : I. Methods, initial models, and code tests, Astronomy and Astrophysics, vol. 388, no. 3, p. 917-935 en
dc.subject Gravitational waves ; Hydrodynamics ; Numerical method ; Relativity en
dc.title Relativistic simulations of rotational core collapse : I. Methods, initial models, and code tests en
dc.type info:eu-repo/semantics/article en
dc.type info:eu-repo/semantics/publishedVersion en
dc.subject.unesco UNESCO::ASTRONOMÍA Y ASTROFÍSICA en
dc.subject.unesco UNESCO::ASTRONOMÍA Y ASTROFÍSICA::Cosmología y cosmogonia en
dc.identifier.doi 10.1051/0004-6361:20020563 en
dc.description.private Font Roda, Jose Antonio, J.Antonio.Font@uv.es en
dc.identifier.idgrec 035202 en

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