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          Institute: MPI für Gravitationsphysik     Collection: Astrophysical Relativity     Display Documents



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ID: 316945.0, MPI für Gravitationsphysik / Astrophysical Relativity
Characteristic evolutions in numerical relativity using six angular patches
Authors:Reisswig, Christian; Bishop, Nigel T.; Lai, Chi Wai; Thornburg, Jonathan; Szilagyi, Bela
Date of Publication (YYYY-MM-DD):2007
Title of Journal:Classical and Quantum Gravity
Volume:24
Start Page:S327
End Page:S339
Review Status:not specified
Audience:Not Specified
Abstract / Description: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.
External Publication Status:published
Document Type:Article
Communicated by:Bernhard F. Schutz
Affiliations:MPI für Gravitationsphysik/Astrophysical Relativity
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