A new dissipation term for finite-difference simulations in Relativity

Details A new dissipation term for finite-difference simulations in Relativity A new dissipation term for finite-difference simulations in Relativity

2007-11-29

arxiv.org/abs/0711.4685v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Talk presented at the Spanish Relativity Meeting (Tenerife 2007)

Scientific paper

10.1051/eas:0830029

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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