A Hybrid High-Order method for passive transport in fractured porous media

Abstract : In this work, we propose a model for the passive transport of a solute in a fractured porous medium, for which we develop a Hybrid High-Order (HHO) space discretization. We consider, for the sake of simplicity, the case where the flow problem is fully decoupled from the transport problem. The novel transmission conditions in our model mimic at the discrete level the property that the advection terms do not contribute to the energy balance. This choice enables us to handle the case where the concentration of the solute jumps across the fracture. The HHO discretization hinges on a mixed formulation in the bulk region and on a primal formulation inside the fracture for the flow problem, and on a primal formulation both in the bulk region and inside the fracture for the transport problem. Relevant features of the method include the treatment of nonconforming discretizations of the fracture, as well as the support of arbitrary approximation orders on fairly general meshes.
Type de document :
Pré-publication, Document de travail
2018
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https://hal.archives-ouvertes.fr/hal-01784181
Contributeur : Florent Chave <>
Soumis le : mardi 25 septembre 2018 - 13:16:39
Dernière modification le : mercredi 5 décembre 2018 - 11:27:18
Document(s) archivé(s) le : mercredi 26 décembre 2018 - 15:16:08

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  • HAL Id : hal-01784181, version 2

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Florent Chave, Daniele Antonio Di Pietro, Luca Formaggia. A Hybrid High-Order method for passive transport in fractured porous media. 2018. 〈hal-01784181v2〉

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