Boundary Conditions for Constrained Systems of Evolution Equations in Numerical Relativity

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10109668" target="_blank" >RIV/00216208:11320/11:10109668 - isvavai.cz</a>

Výsledek na webu

<a href="http://proceedings.aip.org/resource/2/apcpcs/1389/1/2029_1" target="_blank" >http://proceedings.aip.org/resource/2/apcpcs/1389/1/2029_1</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1063/1.3637014" target="_blank" >10.1063/1.3637014</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Boundary Conditions for Constrained Systems of Evolution Equations in Numerical Relativity

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Boundary Conditions for Constrained Systems of Evolution Equations in Numerical Relativity

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BE - Teoretická fyzika

OECD FORD obor

—

Projekt

<a href="/cs/project/GA202%2F09%2F0772" target="_blank" >GA202/09/0772: Aktuální problémy gravitace, obecné relativity a relativistické astrofyziky</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2011

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

AIP Conference Proceedings

ISSN

0094-243X

e-ISSN

—

Svazek periodika

1389

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

4

Strana od-do

2029-2032

Kód UT WoS článku

—

EID výsledku v databázi Scopus

—