About: Boundary Conditions for Constrained Systems of Evolution Equations in Numerical Relativity

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://proceedings.aip.org/resource/2/apcpcs/1389/1/2029_1
Description	In numerical relativity, to study astrophysical events such as black-hole collisions, the Einstein equations for geometry of spacetime are solved as system of partial differential equations. Current simulations are usually based on socalled BSSN system of 3+1 constrained hyperbolic evolution equations for tensorial fields of various ranks. The boundary conditions for evolved fields are given by the fact that the simulated events happen in an empty space and that far from the center the waves should propagate outwards. We analyze the usual outgoing radiation boundary conditions for the BSSN variables using potentials. Introduction of these potentials simplifies the linearized BSSN system into a set of wave equations. We also devise modifications of boundary conditions which prevent creation of constraint violations at boundary due to the conversion of outgoing constrained waves into ingoing unconstrained ones. In numerical relativity, to study astrophysical events such as black-hole collisions, the Einstein equations for geometry of spacetime are solved as system of partial differential equations. Current simulations are usually based on socalled BSSN system of 3+1 constrained hyperbolic evolution equations for tensorial fields of various ranks. The boundary conditions for evolved fields are given by the fact that the simulated events happen in an empty space and that far from the center the waves should propagate outwards. We analyze the usual outgoing radiation boundary conditions for the BSSN variables using potentials. Introduction of these potentials simplifies the linearized BSSN system into a set of wave equations. We also devise modifications of boundary conditions which prevent creation of constraint violations at boundary due to the conversion of outgoing constrained waves into ingoing unconstrained ones. (en)
Title	Boundary Conditions for Constrained Systems of Evolution Equations in Numerical Relativity Boundary Conditions for Constrained Systems of Evolution Equations in Numerical Relativity (en)
skos:prefLabel	Boundary Conditions for Constrained Systems of Evolution Equations in Numerical Relativity Boundary Conditions for Constrained Systems of Evolution Equations in Numerical Relativity (en)
skos:notation	RIV/00216208:11320/11:10109668!RIV12-GA0-11320___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA202/09/0772), Z(MSM0021620860)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Ledvinka, Tomáš
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	188666
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/11:10109668
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	numerical relativity; evolution equations; constrained systems (en)
http://linked.open.../riv/klicoveSlovo	constrained systems evolution equations numerical relativity
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[93F5AB66A820]
http://linked.open...i/riv/nazevZdroje	AIP Conference Proceedings
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Current problems of gravitation, general relativity and relativistic astrophysics
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	1389
http://linked.open...iv/tvurceVysledku	Ledvinka, Tomáš
http://linked.open...n/vavai/riv/zamer	Fyzikální studium objektů a procesů ve sluneční soustavě a v astrofyzikálních systémech
issn	0094-243X
number of pages	4 (xsd:int)
http://bibframe.org/vocab/doi	10.1063/1.3637014
http://localhost/t...ganizacniJednotka	11320

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