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  Modeling the Black Hole Excision Problem

Szilagyi, B., Kreiss, H.-O., & Winicour, J. (2005). Modeling the Black Hole Excision Problem. Physical Review D, 71: 104035.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4EB8-0 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4EBB-A
Genre: Journal Article

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0412101.pdf (Preprint), 545KB
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 Creators:
Szilagyi, Bela1, Author              
Kreiss, H.-O.1, Author
Winicour, J.1, Author
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1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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 Abstract: 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.

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Language(s): eng - English
 Dates: 2005
 Publication Status: Published in print
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 Identifiers: eDoc: 207118
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 71 Sequence Number: 104035 Start / End Page: - Identifier: -