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

28 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

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