Convergence results for the vector penalty-projection and two-step artificial compressibility methods - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Discrete and Continuous Dynamical Systems - Series B Année : 2012

Convergence results for the vector penalty-projection and two-step artificial compressibility methods

Philippe Angot
Connectez-vous pour contacter l'auteur
Pierre Fabrie
  • Fonction : Auteur
  • PersonId : 856617

Résumé

In this paper, we propose and analyze a new artificial compressibility splitting method which is issued from the recent vector penalty-projection method for the numerical solution of unsteady incompressible viscous flows introduced in [1], [2] and [3]. This method may be viewed as an hybrid two-step prediction-correction method combining an artificial compressibility method and an augmented Lagrangian method without inner iteration. The perturbed system can be viewed as a new approximation to the incompressible Navier-Stokes equations. In the main result, we establish the convergence of solutions to the weak solutions of the Navier-Stokes equations when the penalty parameter tends to zero.
Fichier principal
Vignette du fichier
DCDS-B_AF12.pdf (247.88 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00653113 , version 1 (17-12-2011)
hal-00653113 , version 2 (19-02-2012)

Identifiants

Citer

Philippe Angot, Pierre Fabrie. Convergence results for the vector penalty-projection and two-step artificial compressibility methods. Discrete and Continuous Dynamical Systems - Series B, 2012, 17 (5), pp. 1383--1405, communicated by Roger Temam. ⟨10.3934/dcdsb.2012.17.1383⟩. ⟨hal-00653113v2⟩
238 Consultations
236 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More