Please use this identifier to cite or link to this item: https://doi.org/10.15480/882.3048
Publisher DOI: 10.1007/s00791-020-00332-3
Title: Performance of parallel-in-time integration for Rayleigh Bénard convection
Language: English
Authors: Clarke, Andrew T. 
Davies, Christopher J. 
Ruprecht, Daniel  
Tobias, Steven M. 
Oishi, Jeffrey S. 
Keywords: Parallel-in-time;Parareal;Rayleigh–Bénard
Issue Date: 23-Sep-2020
Publisher: Springer
Source: Computing and Visualization in Science 1-4 (23): 10 (2020)
Abstract (english): 
© 2020, The Author(s). 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.
URI: http://hdl.handle.net/11420/7761
DOI: 10.15480/882.3048
ISSN: 1433-0369
Institute: Mathematik E-10 
Document Type: Article
More Funding information: Engineering and Physical Sciences Research Council (EPSRC) Centre for Doctoral Training in Fluid Dynamics
Natural Environment Research Council (NERC) Independent Research Fellowship
NASA LWS
License: CC BY 4.0 (Attribution) CC BY 4.0 (Attribution)
Journal: Computing and visualization in science 
Appears in Collections:Publications with fulltext

Files in This Item:
File Description SizeFormat
Clarke2020_Article_PerformanceOfParallel-in-timeI.pdfVerlags-PDF998,48 kBAdobe PDFView/Open
Thumbnail
Show full item record

Page view(s)

134
Last Week
0
Last month
4
checked on Jun 27, 2022

Download(s)

70
checked on Jun 27, 2022

SCOPUSTM   
Citations

2
Last Week
0
Last month
0
checked on Jun 18, 2022

Google ScholarTM

Check

Note about this record

Cite this record

Export

This item is licensed under a Creative Commons License Creative Commons