Mode decomposition methods for flows in high-contrast porous media. Global-local approach
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...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Academic Press
2013
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| Online Access: | 63542 http://hdl.handle.net/20.500.11937/53841 |
| _version_ | 1848759241195651072 |
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| author | Ghommem, M. Presho, M. Calo, Victor Efendiev, Y. |
| author_facet | Ghommem, M. Presho, M. Calo, Victor Efendiev, Y. |
| author_sort | Ghommem, M. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T09:56:45Z |
| format | Journal Article |
| id | curtin-20.500.11937-53841 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:56:45Z |
| publishDate | 2013 |
| publisher | Academic Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-538412018-04-09T06:03:09Z Mode decomposition methods for flows in high-contrast porous media. Global-local approach Ghommem, M. Presho, M. Calo, Victor Efendiev, Y. 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 Journal Article http://hdl.handle.net/20.500.11937/53841 10.1016/j.jcp.2013.06.033 63542 Academic Press restricted |
| spellingShingle | Ghommem, M. Presho, M. Calo, Victor Efendiev, Y. Mode decomposition methods for flows in high-contrast porous media. Global-local approach |
| title | Mode decomposition methods for flows in high-contrast porous media. Global-local approach |
| title_full | Mode decomposition methods for flows in high-contrast porous media. Global-local approach |
| title_fullStr | Mode decomposition methods for flows in high-contrast porous media. Global-local approach |
| title_full_unstemmed | Mode decomposition methods for flows in high-contrast porous media. Global-local approach |
| title_short | Mode decomposition methods for flows in high-contrast porous media. Global-local approach |
| title_sort | mode decomposition methods for flows in high-contrast porous media. global-local approach |
| url | 63542 http://hdl.handle.net/20.500.11937/53841 |