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Excising a boosted rotating black hole with overlapping grids

Excising a boosted rotating black hole with overlapping grids
Excising a boosted rotating black hole with overlapping grids
We use the overlapping grids method to construct a fourth order accurate discretization of a first order reduction of the Klein-Gordon scalar field equation on a boosted spinning black hole blackground in axisymmetry. This method allows us to use a spherical outer boundary and excise the singularity from the domain with a spheroidal inner boundary which is moving with respect to the main grid. We discuss the use of higher order accurate energy conserving schemes to handle the axis of symmetry and compare it with a simpler technique based on regularity conditions. We also compare the single grid long term stability property of this formulation of the wave equation with that of a different first order reduction.
1550-7998
124027-[20pp]
Calabrese, Gioel
b6d18b27-64cd-426f-b86e-1b3a848f03ed
Neilsen, David
f1187d99-0b22-4126-830a-0d238e32e680
Calabrese, Gioel
b6d18b27-64cd-426f-b86e-1b3a848f03ed
Neilsen, David
f1187d99-0b22-4126-830a-0d238e32e680

Calabrese, Gioel and Neilsen, David (2005) Excising a boosted rotating black hole with overlapping grids. Physical Review D, 71 (12), 124027-[20pp]. (doi:10.1103/PhysRevD.71.124027).

Record type: Article

Abstract

We use the overlapping grids method to construct a fourth order accurate discretization of a first order reduction of the Klein-Gordon scalar field equation on a boosted spinning black hole blackground in axisymmetry. This method allows us to use a spherical outer boundary and excise the singularity from the domain with a spheroidal inner boundary which is moving with respect to the main grid. We discuss the use of higher order accurate energy conserving schemes to handle the axis of symmetry and compare it with a simpler technique based on regularity conditions. We also compare the single grid long term stability property of this formulation of the wave equation with that of a different first order reduction.

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Published date: 2005

Identifiers

Local EPrints ID: 29292
URI: https://eprints.soton.ac.uk/id/eprint/29292
ISSN: 1550-7998
PURE UUID: ea7d92f7-44c3-4f0e-a588-7de70408bfe2

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Date deposited: 11 May 2006
Last modified: 17 Jul 2017 15:58

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Author: Gioel Calabrese
Author: David Neilsen

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