Titre :

A finite volume scheme for a seawater intrusion model with cross-diffusion

Auteur(s) :

Ait Hammou Oulhaj, Ahmed [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]

Titre de la manifestation scientifique :

FVCA8 2017 - International Conference on Finite Volumes for Complex Applications 8

Ville :

Lille

Pays :

France

Date de début de la manifestation scientifique :

2017-06-12

Titre de l’ouvrage :

Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects

Mot(s)-clé(s) en anglais :

65N08
decay of energy MSC (2010): 65M08
35Q30
Finite Volume scheme
entropy stability

Discipline(s) HAL :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]
Mathématiques [math]/Analyse numérique [math.NA]

Résumé en anglais : [en]

We consider a finite volume scheme for a seawater intrusion model. It is based on a two-point flux approximation with upwind mobilities. The scheme preserves at the discrete level the main features of the continuous problem: ...
Lire la suite >We consider a finite volume scheme for a seawater intrusion model. It is based on a two-point flux approximation with upwind mobilities. The scheme preserves at the discrete level the main features of the continuous problem: the non-negativity of the solutions, the decay of the energy and the control of the entropy and its dissipation. Moreover the scheme converges towards a weak solution to the problem. Numerical results are provided to illustrate the behavior of the model and of the scheme.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Projet ANR :

Approche géométrique pour les écoulements en milieux poreux: théorie et numérique

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL