A numerical comparison of some Multiscale Finite Element approaches for advection-dominated problems in heterogeneous media

Claude Le Bris 1, 2 Frederic Legoll 1, 3 François Madiot 1, 2
1 MATHERIALS - MATHematics for MatERIALS
CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique, Inria Paris-Rocquencourt, ENPC - École des Ponts ParisTech
Abstract : The purpose of this work is to investigate the behavior of Multiscale Finite Element type methods for advection-diffusion problems in the advection-dominated regime. We present, study and compare various options to address the issue of the simultaneous presence of both heterogeneity of scales and strong advection. Classical MsFEM methods are compared with adjusted MsFEM methods, stabilized versions of the methods, and a splitting method that treats the multiscale diffusion and the strong advection separately.
Type de document :
Article dans une revue
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2017, 51 (3), pp.851-888
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https://hal.archives-ouvertes.fr/hal-01235642
Contributeur : Frederic Legoll <>
Soumis le : lundi 30 novembre 2015 - 14:18:17
Dernière modification le : mercredi 13 septembre 2017 - 15:19:45

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  • HAL Id : hal-01235642, version 1
  • ARXIV : 1511.08453

Citation

Claude Le Bris, Frederic Legoll, François Madiot. A numerical comparison of some Multiscale Finite Element approaches for advection-dominated problems in heterogeneous media. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2017, 51 (3), pp.851-888. <hal-01235642>

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