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Phys. Rev. D 70, 124025 (2004) [16 pages]

Evolving a puncture black hole with fixed mesh refinement

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Breno Imbiriba1,2, John Baker1, Dae-Il Choi1,3, Joan Centrella1, David R. Fiske2,1, J. David Brown4, James R. van Meter1, and Kevin Olson5,6
1Laboratory for High Energy Astrophysics, NASA Goddard Space Flight Center, Greenbelt, Maryland 20771, USA
2Department of Physics, University of Maryland, College Park, Maryland 20740, USA
3Universities Space Research Association, 7501 Forbes Boulevard #206, Seabrook, Maryland 20706, USA
4Department of Physics, North Carolina State University, Raleigh, North Carolina 27695, USA
5Goddard Earth Sciences and Technology Center, University of Maryland Baltimore County, Baltimore, Maryland 21250, USA
6Earth and Space Data Computing Division, NASA Goddard Space Flight Center, Greenbelt, Maryland 20771, USA

Received 15 March 2004; revised 17 September 2004; published 20 December 2004

We present an algorithm for treating mesh refinement interfaces in numerical relativity. We discuss 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.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.70.124025
DOI:
10.1103/PhysRevD.70.124025
PACS:
04.25.Dm
 
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