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Excision methods for high resolution shock capturing schemes applied to general relativistic hydrodynamics

Excision methods for high resolution shock capturing schemes applied to general relativistic hydrodynamics
Excision methods for high resolution shock capturing schemes applied to general relativistic hydrodynamics
We present a simple method for applying excision boundary conditions for the relativistic Euler equations. This method depends on the use of reconstruction-evolution methods, a standard class of high-resolution shock-capturing methods. We test three different reconstruction schemes, namely, total variation diminishing, piecewise parabolic method (PPM) and essentially nonoscillatory.
The method does not require that the coordinate system is adapted to the excision boundary. We demonstrate the effectiveness of our method using tests containing discontinuities, static test fluid solutions with black holes, and full dynamical collapse of a neutron star to a black hole. A modified PPM scheme is introduced because of problems arisen when matching excision with the original PPM reconstruction scheme.
1550-7998
104006-[12pp]
Hawke, Ian
fc964672-c794-4260-a972-eaf818e7c9f4
Löffler, Frank
a0a360fc-228b-4f6c-9dd0-f67307c39396
Nerozzi, Andrea
26bdb20b-59e1-45c3-ab9c-ea0dd790d144
Hawke, Ian
fc964672-c794-4260-a972-eaf818e7c9f4
Löffler, Frank
a0a360fc-228b-4f6c-9dd0-f67307c39396
Nerozzi, Andrea
26bdb20b-59e1-45c3-ab9c-ea0dd790d144

Hawke, Ian, Löffler, Frank and Nerozzi, Andrea (2005) Excision methods for high resolution shock capturing schemes applied to general relativistic hydrodynamics. Physical Review D, 71 (10), 104006-[12pp]. (doi:10.1103/PhysRevD.71.104006).

Record type: Article

Abstract

We present a simple method for applying excision boundary conditions for the relativistic Euler equations. This method depends on the use of reconstruction-evolution methods, a standard class of high-resolution shock-capturing methods. We test three different reconstruction schemes, namely, total variation diminishing, piecewise parabolic method (PPM) and essentially nonoscillatory.
The method does not require that the coordinate system is adapted to the excision boundary. We demonstrate the effectiveness of our method using tests containing discontinuities, static test fluid solutions with black holes, and full dynamical collapse of a neutron star to a black hole. A modified PPM scheme is introduced because of problems arisen when matching excision with the original PPM reconstruction scheme.

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More information

Published date: 5 May 2005

Identifiers

Local EPrints ID: 29320
URI: http://eprints.soton.ac.uk/id/eprint/29320
ISSN: 1550-7998
PURE UUID: 0c3f2fe7-6447-4110-8d4d-3189667321ed
ORCID for Ian Hawke: ORCID iD orcid.org/0000-0003-4805-0309

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Date deposited: 12 May 2006
Last modified: 28 Jun 2022 01:41

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Contributors

Author: Ian Hawke ORCID iD
Author: Frank Löffler
Author: Andrea Nerozzi

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