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Combining Cauchy and characteristic codes III: the interface problem in axial symmetry

Combining Cauchy and characteristic codes III: the interface problem in axial symmetry
Combining Cauchy and characteristic codes III: the interface problem in axial symmetry
This paper is part of a long term program to develop combined Cauchy and characteristic codes as investigative tools in numerical relativity. In this, the third stage of the program, attention is devoted to axisymmetric systems possessing two spatial degrees of freedom. The method relies on being able to pass information backwards and forwards across an interface exterior to any central source present. Formulas are obtained which show how it is possible to relate the canonical forms of the interior Cauchy and exterior characteristic metric functions, and their derivatives, on the interface.
1550-7998
4919-4928
d'Inverno, Ray A.
dca0a378-f67f-4aab-85c1-83bee4b7da63
Vickers, James A.
719cd73f-c462-417d-a341-0b042db88634
d'Inverno, Ray A.
dca0a378-f67f-4aab-85c1-83bee4b7da63
Vickers, James A.
719cd73f-c462-417d-a341-0b042db88634

d'Inverno, Ray A. and Vickers, James A. (1996) Combining Cauchy and characteristic codes III: the interface problem in axial symmetry. Physical Review D, 54 (8), 4919-4928. (doi:10.1103/PhysRevD.54.4919).

Record type: Article

Abstract

This paper is part of a long term program to develop combined Cauchy and characteristic codes as investigative tools in numerical relativity. In this, the third stage of the program, attention is devoted to axisymmetric systems possessing two spatial degrees of freedom. The method relies on being able to pass information backwards and forwards across an interface exterior to any central source present. Formulas are obtained which show how it is possible to relate the canonical forms of the interior Cauchy and exterior characteristic metric functions, and their derivatives, on the interface.

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Published date: 1996
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Local EPrints ID: 29540
URI: http://eprints.soton.ac.uk/id/eprint/29540
DOI: doi:10.1103/PhysRevD.54.4919
ISSN: 1550-7998
PURE UUID: cc4fc6c0-5b12-4d93-86b3-f63a4311806d
ORCID for James A. Vickers: ORCID iD orcid.org/0000-0002-1531-6273

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Date deposited: 05 Jan 2007
Last modified: 16 Mar 2024 02:34

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Author: Ray A. d'Inverno
Author: James A. Vickers ORCID iD

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