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

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.

13 pages, 6 figures

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• Multipolar analysis of spinning binaries
• Introductory lectures on the Effective One Body formalism
• Gravitational waves from black-hole mergers