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.
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Stéphane Del Pino 1
@article{CRMATH_2010__348_17-18_1027_0, author = {St\'ephane Del Pino}, title = {A curvilinear finite-volume method to solve compressible gas dynamics in {semi-Lagrangian} coordinates}, journal = {Comptes Rendus. Math\'ematique}, pages = {1027--1032}, publisher = {Elsevier}, volume = {348}, number = {17-18}, year = {2010}, doi = {10.1016/j.crma.2010.08.006}, language = {en}, }
TY - JOUR AU - Stéphane Del Pino TI - A curvilinear finite-volume method to solve compressible gas dynamics in semi-Lagrangian coordinates JO - Comptes Rendus. Mathématique PY - 2010 SP - 1027 EP - 1032 VL - 348 IS - 17-18 PB - Elsevier DO - 10.1016/j.crma.2010.08.006 LA - en ID - CRMATH_2010__348_17-18_1027_0 ER -
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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