Comptes Rendus
Numerical Analysis
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.

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.

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.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2010.08.006

Stéphane Del Pino 1

1 CEA, DAM, DIF, 91297 Arpajon, France
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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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