A finite volume scheme for a seawater ...
Document type :
Communication dans un congrès avec actes
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]
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
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]
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 >
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
Collections :
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