New renormalization schemes for conductivity upscaling in heterogeneous media

• Main Authors: Karim, M.R., Krabbenhoft, K.
• Format: Article
• Language: English
• Published: 2010
• Subjects: TA Engineering (General). Civil engineering (General)
• Online Access: http://eprints.um.edu.my/8780/1/New_Renormalization_Schemes_for_Conductivity_Upscaling_in_Heterogeneous_Media.pdf; http://eprints.um.edu.my/8780/; 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

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.