A new class of fractional step techniques for the incompressible Navier–Stokes equations using direction splitting

Handle URI:
http://hdl.handle.net/10754/597335
Title:
A new class of fractional step techniques for the incompressible Navier–Stokes equations using direction splitting
Authors:
Guermond, Jean-Luc; Minev, Peter D.
Abstract:
A new direction-splitting-based fractional time stepping is introduced for solving the incompressible Navier-Stokes equations. The main originality of the method is that the pressure correction is computed by solving a sequence of one-dimensional elliptic problems in each spatial direction. The method is very simple to program in parallel, very fast, and has exactly the same stability and convergence properties as the Poisson-based pressure-correction technique, either in standard or rotational form. © 2010 Académie des sciences.
Citation:
Guermond J-L, Minev PD (2010) A new class of fractional step techniques for the incompressible Navier–Stokes equations using direction splitting. Comptes Rendus Mathematique 348: 581–585. Available: http://dx.doi.org/10.1016/j.crma.2010.03.009.
Publisher:
Elsevier BV
Journal:
Comptes Rendus Mathematique
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
May-2010
DOI:
10.1016/j.crma.2010.03.009
Type:
Article
ISSN:
1631-073X
Sponsors:
This material is based upon work supported by the National Science Foundation grants DMS-0713829. 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 is also supported by fellowships from the Institute of Applied Mathematics and Computational Science and the Institute of Scientific Computing at Texas A&M University and a Discovery grant of NSERC.
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Full metadata record

DC FieldValue Language
dc.contributor.authorGuermond, Jean-Lucen
dc.contributor.authorMinev, Peter D.en
dc.date.accessioned2016-02-25T12:30:57Zen
dc.date.available2016-02-25T12:30:57Zen
dc.date.issued2010-05en
dc.identifier.citationGuermond J-L, Minev PD (2010) A new class of fractional step techniques for the incompressible Navier–Stokes equations using direction splitting. Comptes Rendus Mathematique 348: 581–585. Available: http://dx.doi.org/10.1016/j.crma.2010.03.009.en
dc.identifier.issn1631-073Xen
dc.identifier.doi10.1016/j.crma.2010.03.009en
dc.identifier.urihttp://hdl.handle.net/10754/597335en
dc.description.abstractA new direction-splitting-based fractional time stepping is introduced for solving the incompressible Navier-Stokes equations. The main originality of the method is that the pressure correction is computed by solving a sequence of one-dimensional elliptic problems in each spatial direction. The method is very simple to program in parallel, very fast, and has exactly the same stability and convergence properties as the Poisson-based pressure-correction technique, either in standard or rotational form. © 2010 Académie des sciences.en
dc.description.sponsorshipThis material is based upon work supported by the National Science Foundation grants DMS-0713829. 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 is also supported by fellowships from the Institute of Applied Mathematics and Computational Science and the Institute of Scientific Computing at Texas A&M University and a Discovery grant of NSERC.en
dc.publisherElsevier BVen
dc.titleA new class of fractional step techniques for the incompressible Navier–Stokes equations using direction splittingen
dc.typeArticleen
dc.identifier.journalComptes Rendus Mathematiqueen
dc.contributor.institutionTexas A and M University, College Station, United Statesen
dc.contributor.institutionUniversity of Alberta, Edmonton, Canadaen
kaust.grant.numberKUS-C1-016-04en
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