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Simulation numérique des phénomènes d'écoulement et de transport de masse en milieu poreux

Abstract : Flow and mass transport through porous media are an important part of underground water studies. Pollution spreading or salt water intrusion in coastal groundwater tables are well known applications. This thesis manuscript is dedicated to the study of this physical phenomena through numerical modelling. Different finite element methods are presented and discussed. We focus on the mathematical representation of strongheterogeneous and anisotropic porous media. We introduce two new numerical methods named H-RTm and H-RTp methods. They take advantage of the hybridization technique applied to mixed finite element methods and discontinuous Galerkin finite element methods. The benefits reached in the numerical representation of flow and mass transfer in porous media are illustrated through numerical examples currently used in literature.
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  • HAL Id : tel-02468117, version 1

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Loïc Dijoux. Simulation numérique des phénomènes d'écoulement et de transport de masse en milieu poreux. Mécanique des fluides [physics.class-ph]. Université de la Réunion, 2019. Français. ⟨NNT : 2019LARE0033⟩. ⟨tel-02468117⟩

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