Title | ||
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Mode decomposition methods for flows in high-contrast porous media. Global-local approach |
Abstract | ||
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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. |
Year | DOI | Venue |
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2013 | 10.1016/j.jcp.2013.06.033 | J. Comput. Physics |
Keywords | DocType | Volume |
generalized multiscale finite element method,proper orthogonal decomposition,heterogeneous porous media,dynamic mode decomposition,model reduction | Journal | 253, |
Issue | ISSN | Citations |
C | 0021-9991 | 14 |
PageRank | References | Authors |
0.99 | 13 | 4 |
Name | Order | Citations | PageRank |
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Mehdi Ghommem | 1 | 21 | 2.89 |
Michael Presho | 2 | 14 | 0.99 |
Victor M. Calo | 3 | 191 | 38.14 |
Yalchin Efendiev | 4 | 581 | 67.04 |