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Time-parallel
gravitational collapse simulation
Andreas Kreienbuehl, Pietro Benedusi, Daniel Ruprecht and Rolf Krause |
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Vol. 12 (2017), No. 1, 109–128
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Abstract |
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This article demonstrates the applicability of the parallel-in-time method Parareal to the numerical solution of the Einstein gravity equations for the spherical collapse of a massless scalar field. To account for the shrinking of the spatial domain in time, a tailored load balancing scheme is proposed and compared to load balancing based on number of time steps alone. The performance of Parareal is studied for both the subcritical and black hole case; our experiments show that Parareal generates substantial speedup and, in the supercritical regime, can reproduce Choptuik’s black hole mass scaling law. |
Keywords
Einstein–Klein–Gordon gravitational collapse, Choptuik
scaling, Parareal, spatial coarsening, load balancing,
speedup
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Mathematical Subject Classification 2010
Primary: 35Q76, 65M25, 65Y05, 83C57
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Milestones
Received: 24 April 2016
Revised: 28 December 2016
Accepted: 18 April 2017
Published: 8 May 2017
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Authors |
| Andreas Kreienbuehl | |
| Center for Computational Sciences
and Engineering Lawrence Berkeley National Laboratory 1 Cyclotron Road Berkeley, CA 94720 United States |
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| Pietro Benedusi | |
| Institute of Computational
Science Faculty of Informatics Università della Svizzera italiana Via Giuseppe Buffi 13 CH-6904 Lugano Switzerland |
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| Daniel Ruprecht | |
| School of Mechanical
Engineering University of Leeds Woodhouse Lane Leeds LS2 9JT United Kingdom |
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| Rolf Krause | |
| Institute of Computational
Science Faculty of Informatics Università della Svizzera italiana Via Giuseppe Buffi 13 CH-6904 Lugano Switzerland |
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