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  A New Way to Make Waves

Winicour, J. (2000). A New Way to Make Waves. In Proceeding of CIMENICS 2000.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5773-1 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5774-0
Genre: Conference Paper

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3205.pdf (Preprint), 222KB
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 Creators:
Winicour, Jeffrey1, Author
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: I describe a new algorithm for solving nonlinear wave equations. In this approach, evolution takes place on characteristic hypersurfaces. The algorithm is directly applicable to electromagnetic, Yang-Mills and gravitational fields and other systems described by second differential order hyperbolic equations. The basic ideas should also be applicable to hydrodynamics. It is an especially accurate and efficient way for simulating waves in regions where the characteristics are well behaved. A prime application of the algorithm is to Cauchy-characteristic matching, in which this new approach is matched to a standard Cauchy evolution to obtain a global solution. In a model problem of a nonlinear wave, this proves to be more accurate and efficient than any other present method of assigning Cauchy outer boundary conditions. The approach was developed to compute the gravitational wave signal produced by collisions of two black holes. An application to colliding black holes is presented.

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Language(s): eng - English
 Dates: 2000
 Publication Status: Published in print
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 Identifiers: eDoc: 3205
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Title: The 5th International Congress on Numerical Methods in Engineering and Applied Science
Place of Event: Puerto La Cruz, Venezuela
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Title: Proceeding of CIMENICS 2000
Source Genre: Proceedings
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