Start-up flow in a three-dimensional lid-driven cavity by means of a massively parallel direction splitting algorithm

Handle URI:
http://hdl.handle.net/10754/599724
Title:
Start-up flow in a three-dimensional lid-driven cavity by means of a massively parallel direction splitting algorithm
Authors:
Guermond, J. L.; Minev, P. D.
Abstract:
The purpose of this paper is to validate a new highly parallelizable direction splitting algorithm. The parallelization capabilities of this algorithm are illustrated by providing a highly accurate solution for the start-up flow in a three-dimensional impulsively started lid-driven cavity of aspect ratio 1×1×2 at Reynolds numbers 1000 and 5000. The computations are done in parallel (up to 1024 processors) on adapted grids of up to 2 billion nodes in three space dimensions. Velocity profiles are given at dimensionless times t=4, 8, and 12; at least four digits are expected to be correct at Re=1000. © 2011 John Wiley & Sons, Ltd.
Citation:
Guermond JL, Minev PD (2011) Start-up flow in a three-dimensional lid-driven cavity by means of a massively parallel direction splitting algorithm. Int J Numer Meth Fluids 68: 856–871. Available: http://dx.doi.org/10.1002/fld.2583.
Publisher:
Wiley-Blackwell
Journal:
International Journal for Numerical Methods in Fluids
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
4-May-2011
DOI:
10.1002/fld.2583
Type:
Article
ISSN:
0271-2091
Sponsors:
This material is based upon a work supported by the National Science Foundation grants DMS-0713829. This publication is also partially based on a work supported by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology. The work of P. Minev is also supported by fellowships from the Institute of Applied Mathematics and Computational Science, the Institute of Scientific Computing at Texas A&M University, and a Discovery grant of NSERC.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorGuermond, J. L.en
dc.contributor.authorMinev, P. D.en
dc.date.accessioned2016-02-28T06:08:22Zen
dc.date.available2016-02-28T06:08:22Zen
dc.date.issued2011-05-04en
dc.identifier.citationGuermond JL, Minev PD (2011) Start-up flow in a three-dimensional lid-driven cavity by means of a massively parallel direction splitting algorithm. Int J Numer Meth Fluids 68: 856–871. Available: http://dx.doi.org/10.1002/fld.2583.en
dc.identifier.issn0271-2091en
dc.identifier.doi10.1002/fld.2583en
dc.identifier.urihttp://hdl.handle.net/10754/599724en
dc.description.abstractThe purpose of this paper is to validate a new highly parallelizable direction splitting algorithm. The parallelization capabilities of this algorithm are illustrated by providing a highly accurate solution for the start-up flow in a three-dimensional impulsively started lid-driven cavity of aspect ratio 1×1×2 at Reynolds numbers 1000 and 5000. The computations are done in parallel (up to 1024 processors) on adapted grids of up to 2 billion nodes in three space dimensions. Velocity profiles are given at dimensionless times t=4, 8, and 12; at least four digits are expected to be correct at Re=1000. © 2011 John Wiley & Sons, Ltd.en
dc.description.sponsorshipThis material is based upon a work supported by the National Science Foundation grants DMS-0713829. This publication is also partially based on a work supported by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology. The work of P. Minev is also supported by fellowships from the Institute of Applied Mathematics and Computational Science, the Institute of Scientific Computing at Texas A&M University, and a Discovery grant of NSERC.en
dc.publisherWiley-Blackwellen
dc.subjectDirection splittingen
dc.subjectIncompressible flowen
dc.subjectLid-driven cavityen
dc.subjectMAC stencilen
dc.subjectParallel algorithmen
dc.subjectThree dimensionalen
dc.subjectUnsteady flowen
dc.titleStart-up flow in a three-dimensional lid-driven cavity by means of a massively parallel direction splitting algorithmen
dc.typeArticleen
dc.identifier.journalInternational Journal for Numerical Methods in Fluidsen
dc.contributor.institutionDepartment of Mathematics; Texas A&M University; College Station; TX; 77843-3368; USAen
dc.contributor.institutionDepartment of Mathematical and Statistical Sciences; University of Alberta; Edmonton; Alberta; T6G 2G1; Canadaen
kaust.grant.numberKUS-C1-016-04en
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