Speck, R, Ruprecht, D, Emmett, M et al. (2 more authors) (2014) A space-time parallel solver for the three-dimensional heat equation. In: Bader, M, Bode, A, Bungartz, H-J, Gerndt, M, Joubert, GR and Peter, F, (eds.) Parallel Computing: Accelerating Computational Science and Engineering (CSE). ParCo2013 – International Conference on Parallel Computing, 10-13 Sep 2013, Garching, Germany. Advances in Parallel Computing, 25 . IOS Press , pp. 263-272. ISBN 978-1-61499-380-3
Abstract
The paper presents a combination of the time-parallel “parallel full approximation scheme in space and time” (PFASST) with a parallel multigrid method (PMG) in space, resulting in a mesh-based solver for the three-dimensional heat equation with a uniquely high degree of efficient concurrency. Parallel scaling tests are reported on the Cray XE6 machine “Monte Rosa” on up to $16,384$ cores and on the IBM Blue Gene/Q system “JUQUEEN” on up to $65,536$ cores. The efficacy of the combined spatial- and temporal parallelization is shown by demonstrating that using PFASST in addition to PMG significantly extends the strong-scaling limit. Implications of using spatial coarsening strategies in PFASST’s multi-level hierarchy in large-scale parallel simulations are discussed.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Editors: |
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Copyright, Publisher and Additional Information: | © 2014 The authors and IOS Press. This is an author produced version of a paper published in Advances in Parallel Computing, Volume 25: Parallel Computing: Accelerating Computational Science and Engineering (CSE). Uploaded in accordance with the publisher's self-archiving policy. The final publication is available at IOS Press through http://dx.doi.org/10.3233/978-1-61499-381-0-263 |
Keywords: | parallel-in-time integration, PFASST, parallel multigrid, multi-level spectral deferred correction, 3D heat equation, JUQUEEN, Monte Rosa |
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: | 12 May 2016 10:37 |
Last Modified: | 19 Jan 2018 19:41 |
Published Version: | http://dx.doi.org/10.3233/978-1-61499-381-0-263 |
Status: | Published |
Publisher: | IOS Press |
Series Name: | Advances in Parallel Computing |
Identification Number: | 10.3233/978-1-61499-381-0-263 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:90538 |