Evolving a puncture black hole with fixed mesh refinement

Details Evolving a puncture black hole with fixed mesh refinement Evolving a puncture black hole with fixed mesh refinement

2004-03-11

arxiv.org/abs/gr-qc/0403048v2

Phys.Rev. D70 (2004) 124025

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, 12 figures. Minor changes, final PRD version

Scientific paper

10.1103/PhysRevD.70.124025

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.

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