[Une technique de pas fractionnaire basée sur une équation de Poisson pour les fluides incompressibles à densité variable]
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.
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@article{CRMATH_2008__346_15-16_913_0,
author = {Guermond, Jean-Luc and Salgado, Abner},
title = {A fractional step method based on a pressure {Poisson} equation for incompressible flows with variable density},
journal = {Comptes Rendus. Math\'ematique},
pages = {913--918},
publisher = {Elsevier},
volume = {346},
number = {15-16},
year = {2008},
doi = {10.1016/j.crma.2008.06.006},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2008.06.006/}
}
TY - JOUR AU - Guermond, Jean-Luc AU - Salgado, Abner TI - A fractional step method based on a pressure Poisson equation for incompressible flows with variable density JO - Comptes Rendus. Mathématique PY - 2008 SP - 913 EP - 918 VL - 346 IS - 15-16 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2008.06.006/ DO - 10.1016/j.crma.2008.06.006 LA - en ID - CRMATH_2008__346_15-16_913_0 ER -
%0 Journal Article %A Guermond, Jean-Luc %A Salgado, Abner %T A fractional step method based on a pressure Poisson equation for incompressible flows with variable density %J Comptes Rendus. Mathématique %D 2008 %P 913-918 %V 346 %N 15-16 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2008.06.006/ %R 10.1016/j.crma.2008.06.006 %G en %F CRMATH_2008__346_15-16_913_0
Guermond, Jean-Luc; Salgado, Abner. A fractional step method based on a pressure Poisson equation for incompressible flows with variable density. Comptes Rendus. Mathématique, Tome 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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