Title :

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

Author(s) :

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

Conference title :

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

City :

Lille

Country :

France

Start date of the conference :

2017-06-12

Book title :

Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects

English keyword(s) :

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

HAL domain(s) :

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

English abstract : [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: ...
Show more >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.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

ANR Project :

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

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL