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dc.contributor.authorHou, Jiangyong
dc.contributor.authorChen, Jie
dc.contributor.authorSun, Shuyu
dc.contributor.authorChen, Zhangxin
dc.date.accessioned2016-02-07T14:43:23Z
dc.date.available2016-02-07T14:43:23Z
dc.date.issued2016-02-05
dc.identifier.citationAdaptive mixed-hybrid and penalty discontinuous Galerkin method for two-phase flow in heterogeneous media 2016 Journal of Computational and Applied Mathematics
dc.identifier.issn03770427
dc.identifier.doi10.1016/j.cam.2016.01.050
dc.identifier.urihttp://hdl.handle.net/10754/595857
dc.description.abstractIn this paper, we present a hybrid method, which consists of a mixed-hybrid finite element method and a penalty discontinuous Galerkin method, for the approximation of a fractional flow formulation of a two-phase flow problem in heterogeneous media with discontinuous capillary pressure. The fractional flow formulation is comprised of a wetting phase pressure equation and a wetting phase saturation equation which are coupled through a total velocity and the saturation affected coefficients. For the wetting phase pressure equation, the continuous mixed-hybrid finite element method space can be utilized due to a fundamental property that the wetting phase pressure is continuous. While it can reduce the computational cost by using less degrees of freedom and avoiding the post-processing of velocity reconstruction, this method can also keep several good properties of the discontinuous Galerkin method, which are important to the fractional flow formulation, such as the local mass balance, continuous normal flux and capability of handling the discontinuous capillary pressure. For the wetting phase saturation equation, the penalty discontinuous Galerkin method is utilized due to its capability of handling the discontinuous jump of the wetting phase saturation. Furthermore, an adaptive algorithm for the hybrid method together with the centroidal Voronoi Delaunay triangulation technique is proposed. Five numerical examples are presented to illustrate the features of proposed numerical method, such as the optimal convergence order, the accurate and efficient velocity approximation, and the applicability to the simulation of water flooding in oil field and the oil-trapping or barrier effect phenomena.
dc.language.isoen
dc.publisherElsevier BV
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S0377042716300309
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Journal of Computational and Applied Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Computational and Applied Mathematics, 5 February 2016. DOI: 10.1016/j.cam.2016.01.050
dc.subjectBrezzi-Douglas-Marini
dc.subjectRaviart-Thomas
dc.subjectMixed-hybrid
dc.subjectContinuity of wetting phase pressure
dc.subjectPenalty discontinuous Galerkin
dc.subjectDiscontinuous nonlinear interface condition
dc.subjectCentroidal Voronoi Delaunay triangulation
dc.titleAdaptive mixed-hybrid and penalty discontinuous Galerkin method for two-phase flow in heterogeneous media
dc.typeArticle
dc.contributor.departmentComputational Transport Phenomena Lab
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalJournal of Computational and Applied Mathematics
dc.eprint.versionPost-print
dc.contributor.institutionSchool of Mathematics and Statistics, Xi’an Jiaotong University, Shaanxi, 710049, PR China
dc.contributor.institutionCenter for Computational Geosciences, Xi’an Jiaotong University, Shaanxi, 710049, PR China
dc.contributor.institutionSchulich School of Engineering, University of Calgary, 2500 University Drive NW, Calgary, AB, Canada T2N 1N4
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)
kaust.personSun, Shuyu
refterms.dateFOA2018-02-05T00:00:00Z
dc.date.published-online2016-02-05
dc.date.published-print2016-12


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