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A new dissipation term forfinite-difference simulations in Relativity

Published online by Cambridge University Press:  30 September 2008

A. Oscoz ,
E. Mediavilla ,
M. Serra-Ricart ,
D. Alic ,
C. Bona  and
C. Bona-Casas
D. Alic
Affiliation:
Departament de Fisica, Universitat de les Illes Balears Institute for Applied Computation with Community Code (IAC)
C. Bona
Affiliation:
Departament de Fisica, Universitat de les Illes Balears Institute for Applied Computation with Community Code (IAC)
C. Bona-Casas
Affiliation:
Departament de Fisica, Universitat de les Illes Balears Institute for Applied Computation with Community Code (IAC)
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Abstract

We present a new numerical dissipation algorithm, which can beefficiently used in combination with centered finite-differencemethods. We start from a formulation of centered finite-volumemethods for Numerical Relativity, in which third-order spaceaccuracy can be obtained by employing just piecewise-linearreconstruction. We obtain a simplified version of the algorithm,which can be viewed as a centered finite-difference method plussome “adaptive dissipation”. The performance of this algorithm isconfirmed by numerical results obtained from 3D black holesimulations.

Type
Research Article
Information
European Astronomical Society Publications Series , Volume 30: Spanish Relativity Meeting - Encuentros Relativistas Españoles, ERE2007: Relativistic Astrophysics and Cosmology , 2008 , pp. 213 - 217
Copyright
© EAS, EDP Sciences, 2008

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References

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Gustafson, B., Kreiss, H.O., & Oliger, J., 1995, Time dependent problems and difference methods (Wiley, New York)