Two Asymptotic Models for Arrays of Underground Waste Containers

Grégoire Allaire 1, 2 M. Briane R. Brizzi 1 Y. Capdeboscq
2 DeFI - Shape reconstruction and identification
CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique, Inria Saclay - Ile de France, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR7641
Abstract : We study the homogenization of two models of an underground nuclear waste repository. The nuclear waste cells are periodically stored in the middle of a geological layer and are the only source terms in a parabolic evolution problem. The diffusion constants have a very large contrast between the fuel repository and the soil. It is thus a combined problem of homogenization and singular perturbation. For two different asymptotic contrasts we give the homogenized limit problem which is rigorously justified by using two-scale convergence. Eventually we perform 2-d numerical computations to show the effectiveness of using the limit model instead of the original one.
Type de document :
Article dans une revue
Applicable Analysis, Taylor & Francis, 2009, 88, pp.1445-1467
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Contributeur : Houssem Haddar <>
Soumis le : dimanche 3 février 2013 - 13:59:46
Dernière modification le : jeudi 12 avril 2018 - 01:48:47

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Grégoire Allaire, M. Briane, R. Brizzi, Y. Capdeboscq. Two Asymptotic Models for Arrays of Underground Waste Containers. Applicable Analysis, Taylor & Francis, 2009, 88, pp.1445-1467. 〈hal-00784062〉

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