Numerical Analysis
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.

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.

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.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2008.06.006
Guermond, Jean-Luc 1; Salgado, Abner 1

1 Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA
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Guermond, Jean-Luc; Salgado, Abner. 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. http://www.numdam.org/articles/10.1016/j.crma.2008.06.006/

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