Spectral element discretization of the vorticity, velocity and pressure formulation of the Stokes problem - Laboratoire Jacques-Louis Lions Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2006

Spectral element discretization of the vorticity, velocity and pressure formulation of the Stokes problem

Résumé

We consider the Stokes problem provided with non standard boundary conditions which involve the normal component of the velocity and the tangential components of the vorticity. We write a variational formulation of this problem with three independent unknowns: the vorticity, the velocity and the pressure. Next we propose a discretization by spectral element methods which relies on this formulation. A detailed numerical analysis leads to optimal error estimates for the three unknowns and numerical experiments confirm the interest of the discretization.
Fichier principal
Vignette du fichier
R06003.pdf (1.49 Mo) Télécharger le fichier

Dates et versions

hal-00112164 , version 1 (10-11-2006)

Identifiants

  • HAL Id : hal-00112164 , version 1

Citer

Karima Amoura, Christine Bernardi, Nejmeddine Chorfi. Spectral element discretization of the vorticity, velocity and pressure formulation of the Stokes problem. 2006. ⟨hal-00112164⟩
128 Consultations
59 Téléchargements

Partager

Gmail Facebook X LinkedIn More