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dc.contributor.authorGuermond, J. L.
dc.contributor.authorMinev, P. D.
dc.date.accessioned2016-02-28T06:08:22Z
dc.date.available2016-02-28T06:08:22Z
dc.date.issued2011-05-04
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.
dc.identifier.issn0271-2091
dc.identifier.doi10.1002/fld.2583
dc.identifier.urihttp://hdl.handle.net/10754/599724
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.
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.
dc.publisherWiley
dc.subjectDirection splitting
dc.subjectIncompressible flow
dc.subjectLid-driven cavity
dc.subjectMAC stencil
dc.subjectParallel algorithm
dc.subjectThree dimensional
dc.subjectUnsteady flow
dc.titleStart-up flow in a three-dimensional lid-driven cavity by means of a massively parallel direction splitting algorithm
dc.typeArticle
dc.identifier.journalInternational Journal for Numerical Methods in Fluids
dc.contributor.institutionDepartment of Mathematics; Texas A&M University; College Station; TX; 77843-3368; USA
dc.contributor.institutionDepartment of Mathematical and Statistical Sciences; University of Alberta; Edmonton; Alberta; T6G 2G1; Canada
kaust.grant.numberKUS-C1-016-04
dc.date.published-online2011-05-04
dc.date.published-print2012-03-10


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