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Journal Articles SIAM Journal on Applied Mathematics Year : 2016

Derivation of a Sharp-Diffuse Interfaces Model for Seawater Intrusion in a Free Aquifer. Numerical Simulations

Abstract

We derive a new model for seawater intrusion phenomena in free aquifers. It com- bines the efficiency of the sharp interface approach with the physical realism of the diffuse interface one. More precisely, a phase field is used as an intermediate variable for including the exchanges between the characteristic layers of the aquifer (salt water, fresh water, unsaturated zone). The three- dimensional problem is reduced to a two-dimensional model involving a strongly coupled system of PDEs of parabolic type describing the evolution of the depths of the two free surfaces. The model is discretized by finite elements in space and by a semi-implicit Euler method in time. Numerical simulations present some physical predictions from the model.
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Dates and versions

hal-01273800 , version 1 (13-02-2016)

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Catherine Choquet, Moussa Mory Diédhiou, Carole Rosier. Derivation of a Sharp-Diffuse Interfaces Model for Seawater Intrusion in a Free Aquifer. Numerical Simulations. SIAM Journal on Applied Mathematics, 2016, ⟨10.1137/15M102099X⟩. ⟨hal-01273800⟩
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