- Title
- New renormalization schemes for conductivity upscaling in heterogeneous media
- Creator
- Karim, M. R.; Krabbenhoft, K.
- Relation
- Transport in Porous Media Vol. 85, Issue 3, p. 677-690
- Publisher Link
- http://dx.doi.org/10.1007/s11242-010-9585-9
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2010
- 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 2ᵈ 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.
- Subject
- renormalization; upscaling; heterogeneous media; homogenization
- Identifier
- http://hdl.handle.net/1959.13/922332
- Identifier
- uon:9543
- Identifier
- ISSN:0169-3913
- Language
- eng
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