Multiscale Simulations for Coupled Flow and Transport Using the Generalized Multiscale Finite Element Method

Handle URI:
http://hdl.handle.net/10754/592813
Title:
Multiscale Simulations for Coupled Flow and Transport Using the Generalized Multiscale Finite Element Method
Authors:
Chung, Eric; Efendiev, Yalchin R. ( 0000-0001-9626-303X ) ; Leung, Wing; Ren, Jun
Abstract:
In this paper, we develop a mass conservative multiscale method for coupled flow and transport in heterogeneous porous media. We consider a coupled system consisting of a convection-dominated transport equation and a flow equation. We construct a coarse grid solver based on the Generalized Multiscale Finite Element Method (GMsFEM) for a coupled system. In particular, multiscale basis functions are constructed based on some snapshot spaces for the pressure and the concentration equations and some local spectral decompositions in the snapshot spaces. The resulting approach uses a few multiscale basis functions in each coarse block (for both the pressure and the concentration) to solve the coupled system. We use the mixed framework, which allows mass conservation. Our main contributions are: (1) the development of a mass conservative GMsFEM for the coupled flow and transport; (2) the development of a robust multiscale method for convection-dominated transport problems by choosing appropriate test and trial spaces within Petrov-Galerkin mixed formulation. We present numerical results and consider several heterogeneous permeability fields. Our numerical results show that with only a few basis functions per coarse block, we can achieve a good approximation.
KAUST Department:
Center for Numerical Porous Media (NumPor)
Citation:
Multiscale Simulations for Coupled Flow and Transport Using the Generalized Multiscale Finite Element Method 2015, 3 (4):670 Computation
Publisher:
MDPI AG
Journal:
Computation
Issue Date:
11-Dec-2015
DOI:
10.3390/computation3040670
Type:
Article
ISSN:
2079-3197
Additional Links:
http://www.mdpi.com/2079-3197/3/4/670
Appears in Collections:
Articles

Full metadata record

DC FieldValue Language
dc.contributor.authorChung, Ericen
dc.contributor.authorEfendiev, Yalchin R.en
dc.contributor.authorLeung, Wingen
dc.contributor.authorRen, Junen
dc.date.accessioned2016-01-05T07:22:22Zen
dc.date.available2016-01-05T07:22:22Zen
dc.date.issued2015-12-11en
dc.identifier.citationMultiscale Simulations for Coupled Flow and Transport Using the Generalized Multiscale Finite Element Method 2015, 3 (4):670 Computationen
dc.identifier.issn2079-3197en
dc.identifier.doi10.3390/computation3040670en
dc.identifier.urihttp://hdl.handle.net/10754/592813en
dc.description.abstractIn this paper, we develop a mass conservative multiscale method for coupled flow and transport in heterogeneous porous media. We consider a coupled system consisting of a convection-dominated transport equation and a flow equation. We construct a coarse grid solver based on the Generalized Multiscale Finite Element Method (GMsFEM) for a coupled system. In particular, multiscale basis functions are constructed based on some snapshot spaces for the pressure and the concentration equations and some local spectral decompositions in the snapshot spaces. The resulting approach uses a few multiscale basis functions in each coarse block (for both the pressure and the concentration) to solve the coupled system. We use the mixed framework, which allows mass conservation. Our main contributions are: (1) the development of a mass conservative GMsFEM for the coupled flow and transport; (2) the development of a robust multiscale method for convection-dominated transport problems by choosing appropriate test and trial spaces within Petrov-Galerkin mixed formulation. We present numerical results and consider several heterogeneous permeability fields. Our numerical results show that with only a few basis functions per coarse block, we can achieve a good approximation.en
dc.language.isoenen
dc.publisherMDPI AGen
dc.relation.urlhttp://www.mdpi.com/2079-3197/3/4/670en
dc.rightsThis article is an open access article distributed under the terms and conditions of the Creative Commons Attribution license (http://creativecommons.org/licenses/by/4.0/).en
dc.subjectmultiscaleen
dc.subjectmixeden
dc.subjectmultiscale finite element methoden
dc.subjectflowen
dc.subjecttransporten
dc.titleMultiscale Simulations for Coupled Flow and Transport Using the Generalized Multiscale Finite Element Methoden
dc.typeArticleen
dc.contributor.departmentCenter for Numerical Porous Media (NumPor)en
dc.identifier.journalComputationen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionDepartment of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong, Chinaen
dc.contributor.institutionDepartment of Mathematics, Texas A&M University, College Station, TX 77843, USAen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorEfendiev, Yalchin R.en
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.