Clarke, A, Davies, C orcid.org/0000-0002-1074-3815, Ruprecht, D et al. (2 more authors) (2020) Performance of parallel-in-time integration for Rayleigh Bénard convection. Computing and Visualization in Science, 23 (1-4). 10. ISSN 1432-9360
Abstract
Rayleigh–Bénard convection (RBC) is a fundamental problem of fluid dynamics, with many applications to geophysical, astrophysical, and industrial flows. Understanding RBC at parameter regimes of interest requires complex physical or numerical experiments. Numerical simulations require large amounts of computational resources; in order to more efficiently use the large numbers of processors now available in large high performance computing clusters, novel parallelisation strategies are required. To this end, we investigate the performance of the parallel-in-time algorithm Parareal when used in numerical simulations of RBC. We present the first parallel-in-time speedups for RBC simulations at finite Prandtl number. We also investigate the problem of convergence of Parareal with respect to statistical numerical quantities, such as the Nusselt number, and discuss the importance of reliable online stopping criteria in these cases.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © The Author(s) 2020. This is an open access article under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/) |
Keywords: | Parareal; Rayleigh–Bénard; Parallel-in-time |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) The University of Leeds > Faculty of Environment (Leeds) > School of Earth and Environment (Leeds) > Inst of Geophysics and Tectonics (IGT) (Leeds) |
Funding Information: | Funder Grant number NERC (Natural Environment Research Council) NE/L011328/1 |
Depositing User: | Symplectic Publications |
Date Deposited: | 16 Oct 2020 11:57 |
Last Modified: | 16 Oct 2020 11:57 |
Status: | Published |
Publisher: | Springer |
Identification Number: | 10.1007/s00791-020-00332-3 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:166561 |
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