Toward standard testbeds for numerical relativity

Alcubierre, Miguel; Allen, Gabrielle; Bona, Carles; Fiske, David R.; Goodale, Tom; Guzman, 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, Deirdre; Szilagyi, Bela; Takahashi, Ryoji; Winicour, Jeffrey

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Toward standard testbeds for numerical relativity

MPS-Authors

Allen, Gabrielle
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Goodale, Tom
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Guzman, F. Siddhartha
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Husa, Sascha
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Koppitz, Michael
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Lechner, Christiane
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Pollney, Denis
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Rideout, David
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Seidel, Edward
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Szilagyi, Bela
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Winicour, Jeffrey
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Alcubierre, M., Allen, G., Bona, C., Fiske, D. R., Goodale, T., Guzman, F. S., et al. (2004). Toward standard testbeds for numerical relativity. Classical and Quantum Gravity, 21(2), 589-613.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-50A6-B

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.