Finite volume approximation of a diffusion-dissolution model and application to nuclear waste storage - Laboratoire d'Analyse et de Mathématiques Appliquées Accéder directement au contenu
Article Dans Une Revue Mathematics and Computers in Simulation Année : 2011

Finite volume approximation of a diffusion-dissolution model and application to nuclear waste storage

Résumé

The study of two phase flow in porous media under high capillary pressures, in the case where one phase is incompressible and the other phase is gaseous, shows complex phenomena. We present in this paper a numerical approximation method, based on a two pressures formulation in the case where both phases are miscible, which is shown to also handle the limit case of immiscible phases. The space discretization is performed using a finite volume method, which can handle general grids. The efficiency of the formulation is shown on three numerical examples related to underground waste disposal situations.
Fichier principal
Vignette du fichier
revart.pdf (954.2 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00713504 , version 1 (03-06-2017)

Identifiants

Citer

O. Angelini, C. Chavant, Eric Chénier, Robert Eymard, S. Granet. Finite volume approximation of a diffusion-dissolution model and application to nuclear waste storage. Mathematics and Computers in Simulation, 2011, 81 (10), pp.2001-2017. ⟨10.1016/j.matcom.2010.12.016⟩. ⟨hal-00713504⟩
113 Consultations
386 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More