Published August 21, 2006
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Journal Article
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A new generalized harmonic evolution system
Abstract
A new representation of the Einstein evolution equations is presented that is first order, linearly degenerate and symmetric hyperbolic. This new system uses the generalized harmonic method to specify the coordinates, and exponentially suppresses all small short-wavelength constraint violations. Physical and constraint-preserving boundary conditions are derived for this system, and numerical tests that demonstrate the effectiveness of the constraint suppression properties and the constraint-preserving boundary conditions are presented.
Additional Information
Copyright © Institute of Physics and IOP Publishing Limited 2006. Received 15 December 2005, in final form 8 February 2006. Published 27 July 2006. Print publication: Issue 16 (21 August 2006) We thank Steven Detweiler, Yvonne Choquet-Bruhat, Harald Pfeiffer, Frans Pretorius, Olivier Sarbach, Tilman Sauer, Saul Teukolsky and James York for helpful discussions concerning this work. LL thanks the Isaac Newton Institute for Mathematical Sciences for their hospitality during a visit in which a portion of this work was completed. This work was supported in part by a grant from the Sherman Fairchild Foundation to Caltech and Cornell, by NSF grants PHY-0099568, PHY-0244906 and NASA grants NAG5-10707, NAG5-12834 at Caltech, and by NSF grants PHY-0312072, PHY-0354631, and NASA grant NNG05GG51G at Cornell. Some of the computations for this project were performed with the Tungsten cluster at the National Center for Supercomputing Applications. Special issue: Invited papers on numerical relativity, related to the Banff International Research Station programme 16–21 April 2005 and the Newton Institute programme 8 August–23 December 2005. Classical and Quantum Gravity Volume 23, Number 16, 21 August 2006Files
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2006-12-30Created from EPrint's datestamp field
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2022-07-12Created from EPrint's last_modified field
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