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          Institute: MPI für Gravitationsphysik     Collection: Astrophysical Relativity     Display Documents



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ID: 207118.0, MPI für Gravitationsphysik / Astrophysical Relativity
Modeling the Black Hole Excision Problem
Authors:Szilagyi, B.; Kreiss, H.-O.; Winicour, J.
Language:English
Date of Publication (YYYY-MM-DD):2005
Title of Journal:Physical Review D
Volume:71
Sequence Number of Article:104035
Review Status:not specified
Audience:Not Specified
Abstract / Description:We analyze the excision strategy for simulating black holes. The problem is modeled by the propagation of quasi-linear waves in a 1-dimensional spatial region with timelike outer boundary, spacelike inner boundary and a horizon in between. Proofs of well-posed evolution and boundary algorithms for a second differential order treatment of the system are given for the separate pieces underlying the finite difference problem. These are implemented in a numerical code which accurately and stably simulates the quasi-linear excision problem. Excitation of long wavelength exponential modes, which are latent in the problem, are suppressed using conservation laws for the discretized system. The techniques are designed to apply directly to recent codes for the Einstein equations based upon the harmonic formulation.
External Publication Status:published
Document Type:Article
Communicated by:Bernhard F. Schutz
Affiliations:MPI für Gravitationsphysik/Astrophysical Relativity
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