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  A new dissipation term for finite-difference simulations in Relativity

Alic, D., Bona, C., & Bona-Casas, C. (2008). A new dissipation term for finite-difference simulations in Relativity. In Spanish Relativity Meeting - Encuentros Relativistas Españoles ERE2007 Relativistic Astrophysics and Cosmology Tenerife, Spring 2008 (pp. 213-218).

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0012-9D0A-1 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0012-9D0C-E
Genre: Conference Paper

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0711.4685v1.pdf (Preprint), 88KB
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Alic, Daniela1, Author           
Bona, Carles, Author
Bona-Casas, Carles, Author
Affiliations:
1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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 Abstract: We present a new numerical dissipation algorithm, which can be efficiently used in combination with centered finite-difference methods. We start from a formulation of centered finite-volume methods for Numerical Relativity, in which third-order space accuracy can be obtained by employing just piecewise-linear reconstruction. We obtain a simplified version of the algorithm, which can be viewed as a centered finite-difference method plus some 'adaptive dissipation'. The performance of this algorithm is confirmed by numerical results obtained from 3D black hole simulations.

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 Dates: 2008
 Publication Status: Issued
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 Identifiers: eDoc: 475380
Other: arXiv:0711.4685
DOI: 10.1051/eas:0830029
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Title: Spanish Relativity Meeting - Encuentros Relativistas Españoles ERE2007 Relativistic Astrophysics and Cosmology
Place of Event: Tenerife
Start-/End Date: 2008 - 2008

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Title: Spanish Relativity Meeting - Encuentros Relativistas Españoles ERE2007 Relativistic Astrophysics and Cosmology Tenerife, Spring 2008
Source Genre: Proceedings
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Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 213 - 218 Identifier: -

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Pages: - Volume / Issue: 30 Sequence Number: - Start / End Page: - Identifier: -