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

Jean-Luc Guermond, Peter D. Minev

Research output: Contribution to journalArticlepeer-review

34 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)581-585
Number of pages5
JournalComptes Rendus Mathematique
Volume348
Issue number9-10
DOIs
StatePublished - May 2010
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUS-C1-016-04
Acknowledgements: 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.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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