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

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    Type
    Article
    Authors
    Guermond, Jean-Luc
    Minev, Peter D.
    KAUST Grant Number
    KUS-C1-016-04
    Date
    2010-05
    Permanent link to this record
    http://hdl.handle.net/10754/597335
    
    Metadata
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    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.
    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.
    Publisher
    Elsevier BV
    Journal
    Comptes Rendus Mathematique
    DOI
    10.1016/j.crma.2010.03.009
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.crma.2010.03.009
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