| Issue |
EAS Publications Series
Volume 30, 2008
Spanish Relativity Meeting - Encuentros Relativistas Españoles , ERE2007: Relativistic Astrophysics and Cosmology
|
|
|---|---|---|
| Page(s) | 213 - 217 | |
| DOI | https://doi.org/10.1051/eas:0830029 | |
| Published online | 30 September 2008 | |
A. Oscoz, E. Mediavilla and M. Serra-Ricart (eds)
EAS Publications Series, 30 (2008) 213-217
A new dissipation term for finite-difference simulations in Relativity
1
Departament de Fisica, Universitat de les Illes Balears
2
Institute for Applied Computation with Community
Code (IAC)
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.
© EAS, EDP Sciences, 2008