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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F11%3A10109668%21RIV12-GA0-11320___
rdf:type
n6:Vysledek skos:Concept
rdfs:seeAlso
http://proceedings.aip.org/resource/2/apcpcs/1389/1/2029_1
dcterms: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.
dcterms:title
Boundary Conditions for Constrained Systems of Evolution Equations in Numerical Relativity Boundary Conditions for Constrained Systems of Evolution Equations in Numerical Relativity
skos:prefLabel
Boundary Conditions for Constrained Systems of Evolution Equations in Numerical Relativity Boundary Conditions for Constrained Systems of Evolution Equations in Numerical Relativity
skos:notation
RIV/00216208:11320/11:10109668!RIV12-GA0-11320___
n6:predkladatel
n18:orjk%3A11320
n3:aktivita
n8:P n8:Z
n3:aktivity
P(GA202/09/0772), Z(MSM0021620860)
n3:cisloPeriodika
1
n3:dodaniDat
n13:2012
n3:domaciTvurceVysledku
n22:6061230
n3:druhVysledku
n14:J
n3:duvernostUdaju
n17:S
n3:entitaPredkladatele
n21:predkladatel
n3:idSjednocenehoVysledku
188666
n3:idVysledku
RIV/00216208:11320/11:10109668
n3:jazykVysledku
n4:eng
n3:klicovaSlova
numerical relativity; evolution equations; constrained systems
n3:klicoveSlovo
n10:evolution%20equations n10:numerical%20relativity n10:constrained%20systems
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[93F5AB66A820]
n3:nazevZdroje
AIP Conference Proceedings
n3:obor
n9:BE
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n16:GA202%2F09%2F0772
n3:rokUplatneniVysledku
n13:2011
n3:svazekPeriodika
1389
n3:tvurceVysledku
Ledvinka, Tomáš
n3:zamer
n5:MSM0021620860
s:issn
0094-243X
s:numberOfPages
4
n19:doi
10.1063/1.3637014
n20:organizacniJednotka
11320