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Journal Article

Dynamical damping terms for symmetry-seeking shift conditions

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons2709

Alic,  Daniela
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons20670

Rezzolla,  Luciano
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons20659

Hinder,  Ian
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons4338

Mösta,  Philip
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1008.2212
(Preprint), 2MB

cqg_27_24_245023.pdf
(Any fulltext), 702KB

Supplementary Material (public)
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Citation

Alic, D., Rezzolla, L., Hinder, I., & Mösta, P. (2010). Dynamical damping terms for symmetry-seeking shift conditions. Classical and quantum gravity, 27(24): 245023. doi:10.1088/0264-9381/27/24/245023.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0012-C459-0
Abstract
Suitable gauge conditions are fundamental for stable and accurate numerical-relativity simulations of inspiralling compact binaries. A number of well-studied conditions have been developed over the last decade for both the lapse and the shift and these have been successfully used both in vacuum and non-vacuum spacetimes when simulating binaries with comparable masses. At the same time, recent evidence has emerged that the standard "Gamma-driver" shift condition requires a careful and non-trivial tuning of its parameters to ensure long-term stable evolutions of unequal-mass binaries. We present a novel gauge condition in which the damping constant is promoted to be a dynamical variable and the solution of an evolution equation. We show that this choice removes the need for special tuning and provides a shift damping term which is free of instabilities in our simulations and dynamically adapts to the individual positions and masses of the binary black-hole system. Our gauge condition also reduces the variations in the coordinate size of the apparent horizon of the larger black hole and could therefore be useful when simulating binaries with very small mass ratios.