Comptes Rendus
no. 15-16
Numerical Analysis
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]

Présenté par : Roland Glowinski

Jean-Luc Guermond1 ; Abner Salgado1
1 Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA
Comptes Rendus. Mathématique, Volume 346 (2008) no. 15-16, pp. 913-918.

Nous proposons une famille d'algorithmes à pas fractionnaire basés sur une équation de Poisson pour l'approximation des fluides incompressibles à densité variable. On démontre que la méthode est stable.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2008.06.006
Jean-Luc Guermond 1 ; Abner Salgado 1

1 Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA 
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Jean-Luc Guermond; Abner Salgado. A fractional step method based on a pressure Poisson equation for incompressible flows with variable density. Comptes Rendus. Mathématique, Volume 346 (2008) no. 15-16, pp. 913-918. doi : 10.1016/j.crma.2008.06.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2008.06.006/

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