Document Type
Article
Publication Date
1-1-2010
Abstract
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.
Keywords
Heterogeneous media, Homogenization, Renormalization, Upscaling, Bench-mark problems, Square cell, Two-dimensional schemes, Two dimensional, conductivity, heterogeneous medium, homogeneity, statistical analysis
Divisions
fac_eng
Publication Title
Transport in Porous Media
Volume
85
Issue
3
Additional Information
690AZ Times Cited:6 Cited References Count:27