A curl preserving finite volume scheme by space velocity enrichment. Application to the low Mach number accuracy problem - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2024

A curl preserving finite volume scheme by space velocity enrichment. Application to the low Mach number accuracy problem

Résumé

In this article, we address the problem of accuracy of finite volume schemes in the low Mach number limit. It has been known for years that collocated finite volume schemes are naturally correctly behaving in this limit on triangular meshes [20, 21, 15], but fail in general on other types of mesh. We are first interested in the general problem of the conservation of vorticity for the wave system. By enriching the approximation space for vectors, we prove that the Hodge-Helmholtz context developed for triangular meshes in [15] can be recovered in the quadrangular mesh case. This leads to a numerical scheme for the wave system that naturally preserves the vorticity under mild assumption on the numerical flux. The new approximation space is then used with the barotropic Euler system. Numerical tests show that the new numerical scheme is accurate for both steady and acoustic problems at low Mach number.
Fichier principal
Vignette du fichier
main.pdf (2.81 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04563838 , version 1 (30-04-2024)

Licence

Paternité

Identifiants

  • HAL Id : hal-04563838 , version 1

Citer

Jonathan Jung, Vincent Perrier. A curl preserving finite volume scheme by space velocity enrichment. Application to the low Mach number accuracy problem. 2024. ⟨hal-04563838⟩
0 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More