Comptes Rendus
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]
Comptes Rendus. Mathématique, Volume 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 :
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DOI : 10.1016/j.crma.2010.08.006

Stéphane Del Pino 1

1 CEA, DAM, DIF, 91297 Arpajon, France
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     title = {A curvilinear finite-volume method to solve compressible gas dynamics in {semi-Lagrangian} coordinates},
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Stéphane Del Pino. A curvilinear finite-volume method to solve compressible gas dynamics in semi-Lagrangian coordinates. Comptes Rendus. Mathématique, Volume 348 (2010) no. 17-18, pp. 1027-1032. doi : 10.1016/j.crma.2010.08.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.08.006/

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