New renormalization schemes for conductivity upscaling in heterogeneous media

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
Reviewed

		Thumbnail	File	Description	Size	Format