Multiscale modeling of high contrast brinkman equations with applications to deformable porous media

Donald Brown, Yalchin R. Efendiev, Guanglian Li, Peter V. Popov, Viktoria L. Savatorova

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

Simulating porous media flows has a wide range of applications. Often, these applications involve many scales and multi-physical processes. A useful tool in the analysis of such problems in that of homogenization as an averaged description is derived circumventing the need for complicated simulation of the fine scale features. In this work, we recall recent developments of homogenization techniques in the application of flows in deformable porous media. In addition, homogenization of media with high-contrast. In particular, we recall the main ideas of the homogenization of slowly varying Stokes flow and summarize the results of [4]. We also present the ideas for extending these techniques to high-contrast deformable media [3]. These ideas are connected by the modeling of multiscale fluid-structure interaction problems. © 2013 American Society of Civil Engineers.
Original languageEnglish (US)
Title of host publicationPoromechanics V
PublisherAmerican Society of Civil Engineers (ASCE)
Pages1991-1996
Number of pages6
ISBN (Print)9780784412992
DOIs
StatePublished - Jun 21 2013

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