A new dissipation term for finite-difference simulations in Relativity
General Relativity and Quantum Cosmology
2009-11-13 v1
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.
Cite
@article{arxiv.0711.4685,
title = {A new dissipation term for finite-difference simulations in Relativity},
author = {Daniela Alic and Carles Bona and Carles Bona-Casas},
journal= {arXiv preprint arXiv:0711.4685},
year = {2009}
}
Comments
Talk presented at the Spanish Relativity Meeting (Tenerife 2007)