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Dynamical excision boundaries in spectral evolutions of binary black hole spacetimes

Hemberger, Daniel A. and Scheel, Mark A. and Kidder, Lawrence E. and Szilágyi, Béla and Lovelace, Geoffrey and Taylor, Nicholas W. and Teukolsky, Saul A. (2013) Dynamical excision boundaries in spectral evolutions of binary black hole spacetimes. Classical and Quantum Gravity, 30 (11). Art. No. 115001. ISSN 0264-9381.

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Simulations of binary black hole systems using the Spectral Einstein Code (SpEC) are done on a computational domain that excises the regions inside the black holes. It is imperative that the excision boundaries are outflow boundaries with respect to the hyperbolic evolution equations used in the simulation. We employ a time-dependent mapping between the fixed computational frame and the inertial frame through which the black holes move. The time-dependent parameters of the mapping are adjusted throughout the simulation by a feedback control system in order to follow the motion of the black holes, to adjust the shape and size of the excision surfaces so that they remain outflow boundaries, and to prevent large distortions of the grid. We describe in detail the mappings and control systems that we use. We show how these techniques have been essential in the evolution of binary black hole systems with extreme configurations, such as large spin magnitudes and high mass ratios, especially during the merger, when apparent horizons are highly distorted and the computational domain becomes compressed. The techniques introduced here may be useful in other applications of partial differential equations that involve time-dependent mappings.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Kidder, Lawrence E.0000-0001-5392-7342
Lovelace, Geoffrey0000-0002-7084-1070
Teukolsky, Saul A.0000-0001-9765-4526
Additional Information:© 2013 IOP Publishing Ltd. Received 17 December 2012, in final form 5 April 2013. Published 25 April 2013. We would like to thank Harald Pfeiffer for useful discussions. We would like to thank Abdul Mroué for performing simulations that led to the development and improvement of some of the mappings presented in this paper. We gratefully acknowledge support from the Sherman Fairchild Foundation; from NSF grants PHY-0969111 and PHY-1005426 at Cornell, and from NSF grants PHY-1068881 and PHY-1005655 at Caltech. Simulations used in this work were computed with the SpEC code [17]. Computations were performed on the Zwicky cluster at Caltech, which is supported by the Sherman Fairchild Foundation and by NSF award PHY-0960291; on the NSF XSEDE network under grant TG-PHY990007N; and on the GPC supercomputer at the SciNet HPC Consortium [29]. SciNet is funded by: the Canada Foundation for Innovation under the auspices of Compute Canada; the Government of Ontario; Ontario Research Fund–Research Excellence; and the University of Toronto.
Funding AgencyGrant Number
Sherman Fairchild FoundationUNSPECIFIED
Canada Foundation for InnovationUNSPECIFIED
Government of OntarioUNSPECIFIED
Ontario Research Fund–Research ExcellenceUNSPECIFIED
University of TorontoUNSPECIFIED
Issue or Number:11
Classification Code:PACS: 97.60.Lf, 04.25.D-, 02.70.Hm, 04.20.Gz, 04.25.dg,
Record Number:CaltechAUTHORS:20130621-091719465
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Official Citation:Dynamical excision boundaries in spectral evolutions of binary black hole spacetimes Daniel A Hemberger, Mark A Scheel, Lawrence E Kidder, Béla Szilágyi, Geoffrey Lovelace, Nicholas W Taylor and Saul A Teukolsky doi:10.1088/0264-9381/30/11/115001
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:39018
Deposited By: Ruth Sustaita
Deposited On:21 Jun 2013 17:07
Last Modified:09 Mar 2020 13:18

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