Binary black hole evolutions with sixth-order spatial finite differencing

doi:10.1088/0264-9381/25/10/105006

Reducing phase error in long numerical binary black hole evolutions with sixth-order finite differencing

Sascha Husa et al 2008 Class. Quantum Grav. 25 105006 (12pp) doi: 10.1088/0264-9381/25/10/105006

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Sascha Husa¹, José A González^1,2, Mark Hannam¹, Bernd Brügmann¹ and Ulrich Sperhake¹
¹ Friedrich Schiller University Jena, Max-Wien-Platz 1, 07743 Jena, Germany
² Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Cd. Universitaria. C P 58040 Morelia, Michoacán, México
E-mail: sascha.husa@uni-jena.de

Abstract. We describe a modification of a fourth-order accurate 'moving-puncture' evolution code, where by replacing spatial fourth-order accurate differencing operators in the bulk of the grid by a specific choice of sixth-order accurate stencils we gain significant improvements in accuracy. We illustrate the performance of the modified algorithm with an equal-mass simulation covering nine orbits.

PACS numbers: 04.25.Dm, 04.30.Db, 95.30.Sf

Print publication: Issue 10 (21 May 2008)
Received 28 May 2007, in final form 30 October 2007
Published 1 May 2008

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Reducing phase error in long numerical binary black hole evolutions with sixth-order finite differencing

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