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dc.contributor.authorGhommem, M.
dc.contributor.authorPresho, M.
dc.contributor.authorCalo, Victor
dc.contributor.authorEfendiev, Y.
dc.identifier.citationGhommem, M. and Presho, M. and Calo, V. and Efendiev, Y. 2013. Mode decomposition methods for flows in high-contrast porous media. Global-local approach. Journal of Computational Physics. 253: pp. 226-238.

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.

dc.publisherAcademic Press
dc.titleMode decomposition methods for flows in high-contrast porous media. Global-local approach
dc.typeJournal Article
dcterms.source.titleJournal of Computational Physics
curtin.departmentDepartment of Applied Geology
curtin.accessStatusFulltext not available

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