The University of Southampton
University of Southampton Institutional Repository

Towards standard testbeds for numerical relativity

Towards standard testbeds for numerical relativity
Towards standard testbeds for numerical relativity
In recent years, many different numerical evolution schemes for Einstein's equations have been proposed to address stability and accuracy problems that have plagued the numerical relativity community for decades. Some of these approaches have been tested on different spacetimes, and conclusions have been drawn based on these tests. However, differences in results originate from many sources, including not only formulations of the equations, but also gauges, boundary conditions, numerical methods and so on. We propose to build up a suite of standardized testbeds for comparing approaches to the numerical evolution of Einstein's equations that are designed to both probe their strengths and weaknesses and to separate out different effects, and their causes, seen in the results. We discuss general design principles of suitable testbeds, and we present an initial round of simple tests with periodic boundary conditions. This is a pivotal first step towards building a suite of testbeds to serve the numerical relativists and researchers from related fields who wish to assess the capabilities of numerical relativity codes. We present some examples of how these tests can be quite effective in revealing various limitations of different approaches, and illustrating their differences. The tests are presently limited to vacuum spacetimes, can be run on modest computational resources and can be used with many different approaches used in the relativity community.
0264-9381
589-613
Alcubierre, Miguel
2ee2ed0c-724d-4187-8a26-714d9b9a0412
Allen, Gabrielle
9852ae61-365c-4995-a548-5ac932e16917
Bona, Carles
f8add4b8-506e-4674-9911-6732ef1b756f
Fiske, David
0f1d7d85-4556-46b1-95c6-ca918cbd5a09
Goodale, Tom
35152247-ace2-44c1-a234-2f11e9ad4b6a
Guzmán, F. Siddhartha
6b413744-af94-4d63-aaac-12aa33158133
Hawke, Ian
66164fc3-77b9-4867-ba0e-3f9d5ae1ddad
Hawley, Scott H.
5ded26e9-ff46-447a-b337-e70db8b6076e
Husa, Sascha
ed077083-41a9-4ff3-b5b6-b48ee8802063
Koppitz, Michael
059b34af-e573-4af7-b31a-161f192643d7
Lechner, Christiane
190c4a42-66b8-4337-b4b7-3a59a90d8236
Pollney, Denis
a78b371e-934f-4fed-8754-91db5cdeb23e
Rideout, David
c8c2574c-54e2-4cc8-a4f3-676540c58d56
Salgado, Marcelo
a09b860c-139a-41df-a619-51922752ce1e
Schnetter, Erik
fa61f1d3-135d-47af-80e2-4285f37a1e24
Seidel, Edward
d58d753d-3707-4ae5-8227-92ed69a122ac
Shinkai, Hisa-aki
e2dea319-446d-4021-b0c7-85b35b379d0a
Shoemaker, Deidre
66e82597-10d3-4dc4-9f0d-30de86519c19
Szilágyi, Béla
14d0cc49-5f77-4c5e-9eac-2cf64f75ffdd
Takahashi, Ryoji
a8e3c5b1-708a-4107-af29-6f5ae7be42b7
Winicour, Jeff
cd218580-47ec-4278-aa3e-1a86c3351de4
Alcubierre, Miguel
2ee2ed0c-724d-4187-8a26-714d9b9a0412
Allen, Gabrielle
9852ae61-365c-4995-a548-5ac932e16917
Bona, Carles
f8add4b8-506e-4674-9911-6732ef1b756f
Fiske, David
0f1d7d85-4556-46b1-95c6-ca918cbd5a09
Goodale, Tom
35152247-ace2-44c1-a234-2f11e9ad4b6a
Guzmán, F. Siddhartha
6b413744-af94-4d63-aaac-12aa33158133
Hawke, Ian
66164fc3-77b9-4867-ba0e-3f9d5ae1ddad
Hawley, Scott H.
5ded26e9-ff46-447a-b337-e70db8b6076e
Husa, Sascha
ed077083-41a9-4ff3-b5b6-b48ee8802063
Koppitz, Michael
059b34af-e573-4af7-b31a-161f192643d7
Lechner, Christiane
190c4a42-66b8-4337-b4b7-3a59a90d8236
Pollney, Denis
a78b371e-934f-4fed-8754-91db5cdeb23e
Rideout, David
c8c2574c-54e2-4cc8-a4f3-676540c58d56
Salgado, Marcelo
a09b860c-139a-41df-a619-51922752ce1e
Schnetter, Erik
fa61f1d3-135d-47af-80e2-4285f37a1e24
Seidel, Edward
d58d753d-3707-4ae5-8227-92ed69a122ac
Shinkai, Hisa-aki
e2dea319-446d-4021-b0c7-85b35b379d0a
Shoemaker, Deidre
66e82597-10d3-4dc4-9f0d-30de86519c19
Szilágyi, Béla
14d0cc49-5f77-4c5e-9eac-2cf64f75ffdd
Takahashi, Ryoji
a8e3c5b1-708a-4107-af29-6f5ae7be42b7
Winicour, Jeff
cd218580-47ec-4278-aa3e-1a86c3351de4

Alcubierre, Miguel, Allen, Gabrielle, Bona, Carles, Fiske, David, Goodale, Tom, Guzmán, F. Siddhartha, Hawke, Ian, Hawley, Scott H., Husa, Sascha, Koppitz, Michael, Lechner, Christiane, Pollney, Denis, Rideout, David, Salgado, Marcelo, Schnetter, Erik, Seidel, Edward, Shinkai, Hisa-aki, Shoemaker, Deidre, Szilágyi, Béla, Takahashi, Ryoji and Winicour, Jeff (2004) Towards standard testbeds for numerical relativity. Classical and Quantum Gravity, 21 (2), 589-613. (doi:10.1088/0264-9381/21/2/019).

Record type: Article

Abstract

In recent years, many different numerical evolution schemes for Einstein's equations have been proposed to address stability and accuracy problems that have plagued the numerical relativity community for decades. Some of these approaches have been tested on different spacetimes, and conclusions have been drawn based on these tests. However, differences in results originate from many sources, including not only formulations of the equations, but also gauges, boundary conditions, numerical methods and so on. We propose to build up a suite of standardized testbeds for comparing approaches to the numerical evolution of Einstein's equations that are designed to both probe their strengths and weaknesses and to separate out different effects, and their causes, seen in the results. We discuss general design principles of suitable testbeds, and we present an initial round of simple tests with periodic boundary conditions. This is a pivotal first step towards building a suite of testbeds to serve the numerical relativists and researchers from related fields who wish to assess the capabilities of numerical relativity codes. We present some examples of how these tests can be quite effective in revealing various limitations of different approaches, and illustrating their differences. The tests are presently limited to vacuum spacetimes, can be run on modest computational resources and can be used with many different approaches used in the relativity community.

Full text not available from this repository.

More information

Published date: 2004

Identifiers

Local EPrints ID: 29315
URI: http://eprints.soton.ac.uk/id/eprint/29315
ISSN: 0264-9381
PURE UUID: 0b952192-63e4-40c6-8fb9-225bb463969c

Catalogue record

Date deposited: 11 May 2006
Last modified: 15 Jul 2019 19:09

Export record

Altmetrics

Contributors

Author: Miguel Alcubierre
Author: Gabrielle Allen
Author: Carles Bona
Author: David Fiske
Author: Tom Goodale
Author: F. Siddhartha Guzmán
Author: Ian Hawke
Author: Scott H. Hawley
Author: Sascha Husa
Author: Michael Koppitz
Author: Christiane Lechner
Author: Denis Pollney
Author: David Rideout
Author: Marcelo Salgado
Author: Erik Schnetter
Author: Edward Seidel
Author: Hisa-aki Shinkai
Author: Deidre Shoemaker
Author: Béla Szilágyi
Author: Ryoji Takahashi
Author: Jeff Winicour

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×