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.
Accepted:
Published online:
Jean-Luc Guermond 1; Abner Salgado 1
@article{CRMATH_2008__346_15-16_913_0,
author = {Jean-Luc Guermond and Abner Salgado},
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},
}
TY - JOUR AU - Jean-Luc Guermond AU - Abner Salgado 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 DO - 10.1016/j.crma.2008.06.006 LA - en ID - CRMATH_2008__346_15-16_913_0 ER -
%0 Journal Article %A Jean-Luc Guermond %A Abner Salgado %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 %R 10.1016/j.crma.2008.06.006 %G en %F CRMATH_2008__346_15-16_913_0
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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