no. 17-18
Numerical Analysis
A curvilinear finite-volume method to solve compressible gas dynamics in semi-Lagrangian coordinates
[Volumes finis curvilignes pour la résolution des équations de la dynamique des gaz en coordonnées semi-Lagrangiennes]

Présenté par : Olivier Pironneau

Del Pino, Stéphane1
1 CEA, DAM, DIF, 91297 Arpajon, France
Comptes Rendus. Mathématique, Tome 348 (2010) no. 17-18, pp. 1027-1032.

On présente un nouveau schéma de type volumes finis pour la résolution des équations de la dynamique des gaz en coordonnées semi-Lagrangiennes. Cette approche s'appuie sur une formulation faible permettant le calcul de la vitesse du maillage utilisant un solveur de Riemann acoustique. Cette méthode est conservative et entropique.

We present a new finite-volume method to solve compressible gas dynamics in semi-Lagrangian coordinates on curvilinear grids. The approach relies on a weak formulation to compute the mesh velocity using an acoustic Riemann solver approximation. We prove this method to be both conservative and entropic.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2010.08.006
Del Pino, Stéphane 1

1 CEA, DAM, DIF, 91297 Arpajon, France 
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Del Pino, Stéphane. A curvilinear finite-volume method to solve compressible gas dynamics in semi-Lagrangian coordinates. Comptes Rendus. Mathématique, Tome 348 (2010) no. 17-18, pp. 1027-1032. doi : 10.1016/j.crma.2010.08.006. http://www.numdam.org/articles/10.1016/j.crma.2010.08.006/

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