A new dissipation term for finite-difference simulations in Relativity

Alic, Daniela; Bona, Carles; Bona-Casas, Carles

doi:10.1051/eas:0830029

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A new dissipation term for finite-difference simulations in Relativity

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Alic, Daniela
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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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).

Zitierlink: https://hdl.handle.net/11858/00-001M-0000-0012-9D0A-1

Zusammenfassung

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.