Abstract : We consider flow in Discrete Fracture Networks made of 2D domains in intersection and solved with a Mixed Hybrid Finite Element Method (MHFEM). The discretization within each fracture is performed in two steps: first, borders and intersections are discretized, second, based on these discretizations, a 2D mesh is built. Independent meshing process within each subdomain is of interest for practical use since it makes it easier to refine the chosen subdomains and to perform parallel computation. This paper shows how MHFEM is well adapted for integrating a Mortar method to enforce the continuity of the fluxes and heads at the non-matching grids. Some numerical simulations are given to show the effciency of the method in the case of a preferential orientation of the fractures where a comparison with the 2D solution is possible.
Type de document :
Article dans une revue
Applicable Analysis, Taylor & Francis, 2010, 89 (10), pp.1629-1643
https://hal.inria.fr/inria-00537078
Contributeur : Géraldine Pichot
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Soumis le : mercredi 17 novembre 2010 - 15:54:45
Dernière modification le : mercredi 11 avril 2018 - 01:50:48
