A new dissipation term for finite-difference simulations in Relativity

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 piecew...

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Bibliographic Details
Main Authors:	Alic, Daniela, Bona, Carles, Bona-Casas, Carles
Format:	Journal Article
Language:	English
Published:	29-11-2007
Subjects:	Physics - General Relativity and Quantum Cosmology
Online Access:	Get full text
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Summary:	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.
DOI:	10.48550/arxiv.0711.4685