A Cell-Centered Scheme For Heterogeneous Anisotropic Diffusion Problems On General Meshes - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue International Journal on Finite Volumes Année : 2012

A Cell-Centered Scheme For Heterogeneous Anisotropic Diffusion Problems On General Meshes

Résumé

We present a new scheme for the discretization of heterogeneous anisotropic diffusion problems on general meshes. With light assumptions, we show that the algorithm can be written as a cell-centered scheme with a small stencil and that it is convergent for discontinuous tensors. The key point of the proof consists in showing both the strong and the weak consistency of the method. The efficiency of the scheme is demonstrated through numerical tests of the 5th International Symposium on Finite Volumes for Complex Appli-cations -FVCA 5. Moreover, the comparison with classical finite volume schemes emphasizes the precision of the method. We also show the good behaviour of the algorithm for nonconforming meshes.
Fichier principal
Vignette du fichier
feccversion3-1.pdf (676.51 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01116990 , version 1 (16-02-2015)

Identifiants

  • HAL Id : hal-01116990 , version 1

Citer

Christophe Le Potier, Hai Thanh. A Cell-Centered Scheme For Heterogeneous Anisotropic Diffusion Problems On General Meshes. International Journal on Finite Volumes, 2012, pp.1-40. ⟨hal-01116990⟩

Collections

CEA DEN ISAS
225 Consultations
151 Téléchargements

Partager

Gmail Facebook X LinkedIn More