New renormalization schemes for conductivity upscaling in heterogeneous media
Two new renormalization schemes for conductivity upscaling in heterogeneous media are presented. The schemes follow previous ones by performing the renormalization over square cells of size 2 d with d being the dimensionality. Contrasting with previous schemes, the two-dimensional scheme makes use o...
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| Format: | Article |
| Language: | English |
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2010
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| Online Access: | http://eprints.um.edu.my/8780/1/New_Renormalization_Schemes_for_Conductivity_Upscaling_in_Heterogeneous_Media.pdf |
| _version_ | 1825719593778282496 |
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| author | Karim, M.R. Krabbenhoft, K. |
| author_facet | Karim, M.R. Krabbenhoft, K. |
| author_sort | Karim, M.R. |
| collection | UM |
| description | Two new renormalization schemes for conductivity upscaling in heterogeneous media are presented. The schemes follow previous ones by performing the renormalization over square cells of size 2 d with d being the dimensionality. Contrasting with previous schemes, the two-dimensional scheme makes use of the exact 2 × 2 block-conductivity. On the basis of the structure of the exact two-dimensional block-conductivity, an analogous three-dimensional scheme is proposed. The new schemes are tested on a number of benchmark problems and are shown to be significantly more accurate than existing schemes. © 2010 Springer Science+Business Media B.V. |
| first_indexed | 2024-03-06T05:22:07Z |
| format | Article |
| id | um.eprints-8780 |
| institution | Universiti Malaya |
| language | English |
| last_indexed | 2024-03-06T05:22:07Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | um.eprints-87802014-04-04T01:32:37Z http://eprints.um.edu.my/8780/ New renormalization schemes for conductivity upscaling in heterogeneous media Karim, M.R. Krabbenhoft, K. TA Engineering (General). Civil engineering (General) Two new renormalization schemes for conductivity upscaling in heterogeneous media are presented. The schemes follow previous ones by performing the renormalization over square cells of size 2 d with d being the dimensionality. Contrasting with previous schemes, the two-dimensional scheme makes use of the exact 2 × 2 block-conductivity. On the basis of the structure of the exact two-dimensional block-conductivity, an analogous three-dimensional scheme is proposed. The new schemes are tested on a number of benchmark problems and are shown to be significantly more accurate than existing schemes. © 2010 Springer Science+Business Media B.V. 2010 Article PeerReviewed application/pdf en http://eprints.um.edu.my/8780/1/New_Renormalization_Schemes_for_Conductivity_Upscaling_in_Heterogeneous_Media.pdf Karim, M.R. and Krabbenhoft, K. (2010) New renormalization schemes for conductivity upscaling in heterogeneous media. Transport in Porous Media, 85 (3). pp. 677-690. ISSN 0169-3913, DOI https://doi.org/10.1007/s11242-010-9585-9 <https://doi.org/10.1007/s11242-010-9585-9>. http://www.scopus.com/inward/record.url?eid=2-s2.0-78149500376&partnerID=40&md5=fdd9e7023652014cd8bc736468e4f946 http://link.springer.com/article/10.1007/s11242-010-9585-9 DOI 10.1007/s11242-010-9585-9 |
| spellingShingle | TA Engineering (General). Civil engineering (General) Karim, M.R. Krabbenhoft, K. New renormalization schemes for conductivity upscaling in heterogeneous media |
| title | New renormalization schemes for conductivity upscaling in heterogeneous media |
| title_full | New renormalization schemes for conductivity upscaling in heterogeneous media |
| title_fullStr | New renormalization schemes for conductivity upscaling in heterogeneous media |
| title_full_unstemmed | New renormalization schemes for conductivity upscaling in heterogeneous media |
| title_short | New renormalization schemes for conductivity upscaling in heterogeneous media |
| title_sort | new renormalization schemes for conductivity upscaling in heterogeneous media |
| topic | TA Engineering (General). Civil engineering (General) |
| url | http://eprints.um.edu.my/8780/1/New_Renormalization_Schemes_for_Conductivity_Upscaling_in_Heterogeneous_Media.pdf |
| work_keys_str_mv | AT karimmr newrenormalizationschemesforconductivityupscalinginheterogeneousmedia AT krabbenhoftk newrenormalizationschemesforconductivityupscalinginheterogeneousmedia |