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Communication dans un congrès

A Reduced-Basis Approach to Two-Phase Flow in Porous Media

Abstract : Reduced-basis methods (RB) have demonstrated their efficiency for a wide variety of problems, most of which are elliptic PDEs solved by finite element methods. In this work, we attempt to apply the RB philosophy to a simple “real-life” model for two-phase flows in porous media, whose reference scheme is a finite volume method. This model is parameterized by the viscosity of water. Because of the mixed parabolic-elliptic nature of the system, we first propose to restrict the RB approach to the pressure subsystem corresponding to the end time. The resulting parametric dependence is, however, much more intricate than in the classical examples. This difficulty will be discussed and illustrated by numerical results.
Type de document :
Communication dans un congrès
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Contributeur : Sébastien Boyaval Connectez-vous pour contacter le contributeur
Soumis le : mercredi 13 septembre 2017 - 16:38:04
Dernière modification le : mercredi 8 juin 2022 - 12:50:04




Quang Huy Tran, Guillaume Enchéry, Riad Sanchez, Sébastien Boyaval. A Reduced-Basis Approach to Two-Phase Flow in Porous Media. FVCA 2017, Jun 2017, Lille, France. ⟨10.1007/978-3-319-57394-6_50⟩. ⟨hal-01587116⟩



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