A fractional step method based on a pressure Poisson equation for incompressible flows with variable density

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).

RésuméNous 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. Pour citer cet article : J.-L. Guermond, A. Salgado, C. R. Acad. Sci. Paris, Ser. I 346 (2008).