Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains

Handle URI:
http://hdl.handle.net/10754/597871
Title:
Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains
Authors:
Guermond, Jean-Luc; Minev, Peter D.; Salgado, Abner J.
Abstract:
We provide a convergence analysis for a new fractional timestepping technique for the incompressible Navier-Stokes equations based on direction splitting. This new technique is of linear complexity, unconditionally stable and convergent, and suitable for massive parallelization. © 2012 American Mathematical Society.
Citation:
Guermond J-L, Minev PD, Salgado AJ (2012) Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains. Math Comp 81: 1951–1977. Available: http://dx.doi.org/10.1090/s0025-5718-2012-02588-9.
Publisher:
American Mathematical Society (AMS)
Journal:
Mathematics of Computation
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
2012
DOI:
10.1090/s0025-5718-2012-02588-9
Type:
Article
ISSN:
0025-5718; 1088-6842
Sponsors:
This material is based upon work supported by the National Science Foundation grants DMS-0713829, by the Air Force Office of Scientific Research, USAF, under grant/contract numberFA9550-09-1-0424, and a Discovery grant of the National Science and Engineering ResearchCouncil of Canada. This publication is also partially based on work supported by Award No.KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST).The work of P. Minev was also supported by fellowships from the Institute of Applied Mathematicsand Computational Science and the Institute of Scientific Computing at Texas A&MUniversity.The work of A.J. Salgado was also been supported by NSF grants CBET-0754983 and DMS-0807811.
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Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorGuermond, Jean-Lucen
dc.contributor.authorMinev, Peter D.en
dc.contributor.authorSalgado, Abner J.en
dc.date.accessioned2016-02-25T12:58:08Zen
dc.date.available2016-02-25T12:58:08Zen
dc.date.issued2012en
dc.identifier.citationGuermond J-L, Minev PD, Salgado AJ (2012) Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains. Math Comp 81: 1951–1977. Available: http://dx.doi.org/10.1090/s0025-5718-2012-02588-9.en
dc.identifier.issn0025-5718en
dc.identifier.issn1088-6842en
dc.identifier.doi10.1090/s0025-5718-2012-02588-9en
dc.identifier.urihttp://hdl.handle.net/10754/597871en
dc.description.abstractWe provide a convergence analysis for a new fractional timestepping technique for the incompressible Navier-Stokes equations based on direction splitting. This new technique is of linear complexity, unconditionally stable and convergent, and suitable for massive parallelization. © 2012 American Mathematical Society.en
dc.description.sponsorshipThis material is based upon work supported by the National Science Foundation grants DMS-0713829, by the Air Force Office of Scientific Research, USAF, under grant/contract numberFA9550-09-1-0424, and a Discovery grant of the National Science and Engineering ResearchCouncil of Canada. This publication is also partially based on work supported by Award No.KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST).The work of P. Minev was also supported by fellowships from the Institute of Applied Mathematicsand Computational Science and the Institute of Scientific Computing at Texas A&MUniversity.The work of A.J. Salgado was also been supported by NSF grants CBET-0754983 and DMS-0807811.en
dc.publisherAmerican Mathematical Society (AMS)en
dc.subjectDirection splittingen
dc.subjectFractional time-steppingen
dc.subjectNavier-stokesen
dc.titleConvergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domainsen
dc.typeArticleen
dc.identifier.journalMathematics of Computationen
dc.contributor.institutionTexas A and M University, College Station, United Statesen
dc.contributor.institutionUniversity of Alberta, Edmonton, Canadaen
dc.contributor.institutionUniversity of Maryland, College Park, United Statesen
kaust.grant.numberKUS-C1-016-04en
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