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dc.contributor.authorGhommem, Mehdi
dc.contributor.authorCalo, Victor M.
dc.contributor.authorEfendiev, Yalchin R.
dc.date.accessioned2015-08-03T11:44:53Z
dc.date.available2015-08-03T11:44:53Z
dc.date.issued2014-01
dc.identifier.issn00219991
dc.identifier.doi10.1016/j.jcp.2013.09.031
dc.identifier.urihttp://hdl.handle.net/10754/563286
dc.description.abstractWe 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.
dc.publisherElsevier BV
dc.subjectDynamic mode decomposition
dc.subjectHighly-heterogeneous porous media
dc.subjectModel reduction
dc.subjectProper orthogonal decomposition
dc.titleMode decomposition methods for flows in high-contrast porous media. A global approach
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentEnvironmental Science and Engineering Program
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalJournal of Computational Physics
dc.contributor.institutionDepartment of Mathematics, Institute for Scientific Computation (ISC), Texas A and M University, College Station, TX, United States
dc.identifier.arxividarXiv:1301.5735
kaust.personGhommem, Mehdi
kaust.personCalo, Victor M.
kaust.personEfendiev, Yalchin R.


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