Evolving a puncture black hole with fixed mesh refinement
广义相对论与量子宇宙学
2009-11-10 v2
摘要
We present an algorithm for treating mesh refinement interfaces in numerical relativity. We detail the behavior of the solution near such interfaces located in the strong field regions of dynamical black hole spacetimes, with particular attention to the convergence properties of the simulations. In our applications of this technique to the evolution of puncture initial data with vanishing shift, we demonstrate that it is possible to simultaneously maintain second order convergence near the puncture and extend the outer boundary beyond 100M, thereby approaching the asymptotically flat region in which boundary condition problems are less difficult and wave extraction is meaningful.
引用
@article{arxiv.gr-qc/0403048,
title = {Evolving a puncture black hole with fixed mesh refinement},
author = {Breno Imbiriba and John Baker and Dae-Il Choi and Joan Centrella and David R. Fiske and J. David Brown and James R. van Meter and Kevin Olson},
journal= {arXiv preprint arXiv:gr-qc/0403048},
year = {2009}
}
备注
18 pages, 12 figures. Minor changes, final PRD version