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    Author
    Calo, Victor M. (1)
    Efendiev, Yalchin R. (1)
    Ghommem, Mehdi (1)
    Presho, Michael (1)DepartmentApplied Mathematics and Computational Science Program (1)
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division (1)
    Earth Science and Engineering Program (1)Environmental Science and Engineering Program (1)Numerical Porous Media SRI Center (NumPor) (1)View MoreJournal
    Journal of Computational Physics (1)
    PublisherElsevier BV (1)SubjectDynamic mode decomposition (1)
    Generalized multiscale finite element method (1)
    Heterogeneous porous media (1)
    Model reduction (1)
    Proper orthogonal decomposition (1)
    View MoreTypeArticle (1)Year (Issue Date)2013 (1)Item AvailabilityMetadata Only (1)

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    Mode decomposition methods for flows in high-contrast porous media. Global-local approach

    Ghommem, Mehdi; Presho, Michael; Calo, Victor M.; Efendiev, Yalchin R. (Journal of Computational Physics, Elsevier BV, 2013-11) [Article]
    In this paper, we combine concepts of the generalized multiscale finite element method (GMsFEM) and mode decomposition methods to construct a robust global-local approach for model reduction of flows in high-contrast porous media. This is achieved by implementing Proper Orthogonal Decomposition (POD) and Dynamic Mode Decomposition (DMD) techniques on a coarse grid computed using GMsFEM. The resulting reduced-order approach enables a significant reduction in the flow problem size while accurately capturing the behavior of fully-resolved solutions. We consider a variety of high-contrast coefficients and present the corresponding numerical results to illustrate the effectiveness of the proposed technique. This paper is a continuation of our work presented in Ghommem et al. (2013) [1] where we examine the applicability of POD and DMD to derive simplified and reliable representations of flows in high-contrast porous media on fully resolved models. In the current paper, we discuss how these global model reduction approaches can be combined with local techniques to speed-up the simulations. The speed-up is due to inexpensive, while sufficiently accurate, computations of global snapshots. © 2013 Elsevier Inc.
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