Mode decomposition methods for flows in high-contrast porous media. A global approach
We apply dynamic mode decomposition (DMD) and proper orthogonal decomposition (POD) methods to flows in highly-heterogeneous porous media to extract the dominant coherent structures and derive reduced-order models via Galerkin projection. Permeability fields with high contrast are considered to inve...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Academic Press
2014
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| Online Access: | 53893 http://hdl.handle.net/20.500.11937/63361 |
| _version_ | 1848761067933532160 |
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| author | Ghommem, M. Calo, Victor Efendiev, Y. |
| author_facet | Ghommem, M. Calo, Victor Efendiev, Y. |
| author_sort | Ghommem, M. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We apply dynamic mode decomposition (DMD) and proper orthogonal decomposition (POD) methods to flows in highly-heterogeneous porous media to extract the dominant coherent structures and derive reduced-order models via Galerkin projection. Permeability fields with high contrast are considered to investigate the capability of these techniques to capture the main flow features and forecast the flow evolution within a certain accuracy. A DMD-based approach shows a better predictive capability due to its ability to accurately extract the information relevant to long-time dynamics, in particular, the slowly-decaying eigenmodes corresponding to largest eigenvalues. Our study enables a better understanding of the strengths and weaknesses of the applicability of these techniques for flows in high-contrast porous media. Furthermore, we discuss the robustness of DMD- and POD-based reduced-order models with respect to variations in initial conditions, permeability fields, and forcing terms. © 2013 Elsevier Inc. |
| first_indexed | 2025-11-14T10:25:47Z |
| format | Journal Article |
| id | curtin-20.500.11937-63361 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:25:47Z |
| publishDate | 2014 |
| publisher | Academic Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-633612018-04-09T06:03:09Z Mode decomposition methods for flows in high-contrast porous media. A global approach Ghommem, M. Calo, Victor Efendiev, Y. We apply dynamic mode decomposition (DMD) and proper orthogonal decomposition (POD) methods to flows in highly-heterogeneous porous media to extract the dominant coherent structures and derive reduced-order models via Galerkin projection. Permeability fields with high contrast are considered to investigate the capability of these techniques to capture the main flow features and forecast the flow evolution within a certain accuracy. A DMD-based approach shows a better predictive capability due to its ability to accurately extract the information relevant to long-time dynamics, in particular, the slowly-decaying eigenmodes corresponding to largest eigenvalues. Our study enables a better understanding of the strengths and weaknesses of the applicability of these techniques for flows in high-contrast porous media. Furthermore, we discuss the robustness of DMD- and POD-based reduced-order models with respect to variations in initial conditions, permeability fields, and forcing terms. © 2013 Elsevier Inc. 2014 Journal Article http://hdl.handle.net/20.500.11937/63361 10.1016/j.jcp.2013.09.031 53893 Academic Press restricted |
| spellingShingle | Ghommem, M. Calo, Victor Efendiev, Y. Mode decomposition methods for flows in high-contrast porous media. A global approach |
| title | Mode decomposition methods for flows in high-contrast porous media. A global approach |
| title_full | Mode decomposition methods for flows in high-contrast porous media. A global approach |
| title_fullStr | Mode decomposition methods for flows in high-contrast porous media. A global approach |
| title_full_unstemmed | Mode decomposition methods for flows in high-contrast porous media. A global approach |
| title_short | Mode decomposition methods for flows in high-contrast porous media. A global approach |
| title_sort | mode decomposition methods for flows in high-contrast porous media. a global approach |
| url | 53893 http://hdl.handle.net/20.500.11937/63361 |