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  Characteristic evolutions in numerical relativity using six angular patches

Reisswig, C., Bishop, N. T., Lai, C. W., Thornburg, J., & Szilagyi, B. (2007). Characteristic evolutions in numerical relativity using six angular patches. Classical and Quantum Gravity, 24, S327-S339.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4961-9 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4963-5
Genre: Journal Article

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cqg7_12_s21.pdf (Publisher version), 250KB
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 Creators:
Reisswig, Christian1, Author              
Bishop, Nigel T.2, Author
Lai, Chi Wai2, Author
Thornburg, Jonathan1, Author
Szilagyi, Bela1, Author              
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1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              
2External Organizations, ou_persistent22              

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 Abstract: The characteristic approach to numerical relativity is a useful tool in evolving gravitational systems. In the past this has been implemented using two patches of stereographic angular coordinates. In other applications, a six-patch angular coordinate system has proved effective. Here we investigate the use of a six-patch system in characteristic numerical relativity, by comparing an existing two-patch implementation (using second-order finite differencing throughout) with a new six-patch implementation (using either second- or fourth-order finite differencing for the angular derivatives). We compare these different codes by monitoring the Einstein constraint equations, numerically evaluated independently from the evolution. We find that, compared to the (second-order) two-patch code at equivalent resolutions, the errors of the second-order six-patch code are smaller by a factor of about 2, and the errors of the fourth-order six-patch code are smaller by a factor of nearly 50.

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 Dates: 2007
 Publication Status: Published in print
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 Identifiers: eDoc: 316945
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 24 Sequence Number: - Start / End Page: S327 - S339 Identifier: -