Two asymptotic models for arrays of underground waste containers
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 fue...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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2009
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| _version_ | 1826290495366627328 |
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| author | Allaire, G Briane, M Brizzi, R Capdeboscq, Y |
| author_facet | Allaire, G Briane, M Brizzi, R Capdeboscq, Y |
| author_sort | Allaire, G |
| collection | OXFORD |
| description | 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 2D numerical computations to show the effectiveness of using the limit model instead of the original one. © 2009 Taylor and Francis. |
| first_indexed | 2024-03-07T02:45:04Z |
| format | Journal article |
| id | oxford-uuid:abc5f9ba-ee36-4e4f-93fb-c24a25332f5e |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:45:04Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | oxford-uuid:abc5f9ba-ee36-4e4f-93fb-c24a25332f5e2022-03-27T03:24:10ZTwo asymptotic models for arrays of underground waste containersJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:abc5f9ba-ee36-4e4f-93fb-c24a25332f5eEnglishSymplectic Elements at Oxford2009Allaire, GBriane, MBrizzi, RCapdeboscq, YWe 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 2D numerical computations to show the effectiveness of using the limit model instead of the original one. © 2009 Taylor and Francis. |
| spellingShingle | Allaire, G Briane, M Brizzi, R Capdeboscq, Y Two asymptotic models for arrays of underground waste containers |
| title | Two asymptotic models for arrays of underground waste containers |
| title_full | Two asymptotic models for arrays of underground waste containers |
| title_fullStr | Two asymptotic models for arrays of underground waste containers |
| title_full_unstemmed | Two asymptotic models for arrays of underground waste containers |
| title_short | Two asymptotic models for arrays of underground waste containers |
| title_sort | two asymptotic models for arrays of underground waste containers |
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