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Comptes Rendus Mathématique
Volume 346, n° 15-16
pages 913-918 (août 2008)
Doi : 10.1016/j.crma.2008.06.006
Received : 23 May 2008 ;  accepted : 18 June 2008
A fractional step method based on a pressure Poisson equation for incompressible flows with variable density
Une technique de pas fractionnaire basée sur une équation de Poisson pour les fluides incompressibles à densité variable
 

Jean-Luc Guermond 1 , Abner Salgado
Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA 

Abstract

A new fractional time technique for solving incompressible flows with variable density is proposed. The main feature of the method is that, as opposed to other known algorithms, the pressure is computed by solving a Poisson equation, which greatly reduces the computational cost. The method is proved to be stable and is numerically illustrated. To cite this article: J.-L. Guermond, A. Salgado, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

The full text of this article is available in PDF format.
Résumé

Nous proposons une famille dʼalgorithmes à pas fractionnaire basés sur une équation de Poisson pour lʼapproximation des fluides incompressibles à densité variable. On démontre que la méthode est stable. Pour citer cet article : J.-L. Guermond, A. Salgado, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

The full text of this article is available in PDF format.
1  LIMSI (CNRS-UPR 3251), BP 133, 91403 Orsay cedex, France.


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