Boundary Conditions for Constrained Systems of Evolution Equations in Numerical Relativity

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

Boundary Conditions for Constrained Systems of Evolution Equations in Numerical Relativity

Original language 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.

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

—

Project

<a href="/en/project/GA202%2F09%2F0772" target="_blank" >GA202/09/0772: Current problems of gravitation, general relativity and relativistic astrophysics</a><br>

Continuities

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

Publication year

2011

Confidentiality

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

Name of the periodical

AIP Conference Proceedings

ISSN

0094-243X

e-ISSN

—

Volume of the periodical

1389

Issue of the periodical within the volume

1

Country of publishing house

US - UNITED STATES

Number of pages

4

Pages from-to

2029-2032

UT code for WoS article

—

EID of the result in the Scopus database

—