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

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    Type
    Conference Paper
    Authors
    Brown, Donald
    Efendiev, Yalchin R. cc
    Li, Guanglian
    Popov, Peter V.
    Savatorova, Viktoria L.
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Date
    2013-06-21
    Online Publication Date
    2013-06-21
    Print Publication Date
    2013-06-18
    Permanent link to this record
    http://hdl.handle.net/10754/577122
    
    Metadata
    Show full item record
    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.
    Citation
    Brown, D. L., Efendiev, Y., Li, G., Popov, P., & Savatorova, V. (2013). Multiscale Modeling of High Contrast Brinkman Equations with Applications to Deformable Porous Media. Poromechanics V. doi:10.1061/9780784412992.235
    Publisher
    American Society of Civil Engineers (ASCE)
    Journal
    Poromechanics V
    Conference/Event name
    5th Biot Conference on Poromechanics, BIOT 2013
    ISBN
    9780784412992
    DOI
    10.1061/9780784412992.235
    ae974a485f413a2113503eed53cd6c53
    10.1061/9780784412992.235
    Scopus Count
    Collections
    Conference Papers; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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