Combining cauchy and characteristic codes. V. cauchy-characteristic matching for a spherical spacetime containing a perfect fluid
Dubal, Mark R., d’Inverno, Ray A. and Vickers, James A. (1998) Combining cauchy and characteristic codes. V. cauchy-characteristic matching for a spherical spacetime containing a perfect fluid. Physical Review D, 58, (4), 044019-044019. (doi:10.1103/PhysRevD.58.044019).
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This paper is part of a long term program to develop CCM (combined Cauchy and characteristic) codes as investigative tools in numerical relativity. The approach has two distinct features: (i) it dispenses with an outer boundary condition and replaces this with matching conditions at an interface between the Cauchy and characteristic regions, and (ii) by employing a compactified coordinate, it proves possible to generate global solutions. In this paper it is shown that CCM can be used effectively to model a spherically symmetric perfect fluid. A particular advantage of CCM in avoiding arbitrary mass inflow-outflow boundary conditions is pointed out. Results are presented which include fluid distributions which form black holes and those which give rise to mass outflow.
|Digital Object Identifier (DOI):||doi:10.1103/PhysRevD.58.044019|
|Additional Information:||Received 5 March 1998; published 24 July 1998.|
|Subjects:||Q Science > QA Mathematics|
|Divisions:||University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics
|Date Deposited:||21 Feb 2007|
|Last Modified:||06 Aug 2015 02:29|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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