Kreienbuehl, AK, Benedusi, PB, Ruprecht, D orcid.org/0000-0003-1904-2473 et al. (1 more author) (2017) Time Parallel Gravitational Collapse Simulation. Communications in Applied Mathematics and Computational Science, 12 (1). pp. 109-128. ISSN 1559-3940
Abstract
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 eld. 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 sub-critical and black hole case; our experiments show that Parareal generates substantial speedup and, in the super-critical regime, can reproduce Choptuik's black hole mass scaling law.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | (c) 2017, Author(s). This is an author produced version of a paper published in Communications in Applied Mathematics and Computational Science. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Einstein–Klein–Gordon gravitational collapse, Choptuik scaling, Parareal, spatial coarsening, load balancing, speedup |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mechanical Engineering (Leeds) > Institute of Engineering Thermofluids, Surfaces & Interfaces (iETSI) (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 20 Apr 2017 10:05 |
Last Modified: | 25 Jul 2017 16:13 |
Status: | Published |
Publisher: | Mathematical Sciences Publishers |
Identification Number: | 10.2140/camcos.2017.12.109 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:115188 |