An analysis of over-relaxation in a kinetic approximation of systems of conservation laws - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Comptes Rendus Mécanique Année : 2019

An analysis of over-relaxation in a kinetic approximation of systems of conservation laws

Résumé

The over-relaxation approach is an alternative to the Jin-Xin relaxation method (Jin and Xin [1]) in order to apply the equilibrium source term in a more precise way (Coulette et al. [2, 3]). This is also a key ingredient of the Lattice-Boltzmann method for achieving second order accuracy (Dellar [4]). In this work we provide an analysis of the over-relaxation kinetic scheme. We compute its equivalent equation, which is particularly useful for devising stable boundary conditions for the hidden kinetic variables.
Fichier principal
Vignette du fichier
relax_boundary.pdf (483.87 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01839092 , version 1 (13-07-2018)

Identifiants

Citer

Florence Drui, Emmanuel Franck, Philippe Helluy, Laurent Navoret. An analysis of over-relaxation in a kinetic approximation of systems of conservation laws. Comptes Rendus Mécanique, 2019, 347 (3), pp.259-269. ⟨10.1016/j.crme.2018.12.001⟩. ⟨hal-01839092⟩
209 Consultations
144 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More