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Communication Dans Un Congrès Année : 2017

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

Résumé

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.
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Dates et versions

hal-01541229 , version 1 (18-06-2017)

Identifiants

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Ahmed Ait Hammou Oulhaj. A finite volume scheme for a seawater intrusion model with cross-diffusion. FVCA8 2017 - International Conference on Finite Volumes for Complex Applications 8, Jun 2017, Lille, France. pp.421-429, ⟨10.1007/978-3-319-57397-7_35⟩. ⟨hal-01541229⟩
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