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dc.contributor.authorKou, Jisheng
dc.contributor.authorSun, Shuyu
dc.date.accessioned2015-05-26T07:02:40Z
dc.date.available2015-05-26T07:02:40Z
dc.date.issued2013-01
dc.identifier.citationConvergence of Discontinuous Galerkin Methods for Incompressible Two-Phase Flow in Heterogeneous Media 2013, 51 (6):3280 SIAM Journal on Numerical Analysis
dc.identifier.issn0036-1429
dc.identifier.issn1095-7170
dc.identifier.doi10.1137/120898358
dc.identifier.urihttp://hdl.handle.net/10754/555745
dc.description.abstractA class of discontinuous Galerkin methods with interior penalties is presented for incompressible two-phase flow in heterogeneous porous media with capillary pressures. The semidiscrete approximate schemes for fully coupled system of two-phase flow are formulated. In highly heterogeneous permeable media, the saturation is discontinuous due to different capillary pressures, and therefore, the proposed methods incorporate the capillary pressures in the pressure equation instead of saturation equation. By introducing a coupling approach for stability and error estimates instead of the conventional separate analysis for pressure and saturation, the stability of the schemes in space and time and a priori hp error estimates are presented in the L2(H 1) for pressure and in the L∞(L2) and L2(H1) for saturation. Two time discretization schemes are introduced for effectively computing the discrete solutions. © 2013 Societ y for Industrial and Applied Mathematics.
dc.publisherSociety for Industrial & Applied Mathematics (SIAM)
dc.relation.urlhttp://epubs.siam.org/doi/abs/10.1137/120898358
dc.rightsArchived with thanks to SIAM Journal on Numerical Analysis
dc.subjecttwo-phase flow
dc.subjectdiscontinuous Galerkin method
dc.subjectstability
dc.subjecterror estimates
dc.titleConvergence of Discontinuous Galerkin Methods for Incompressible 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.journalSIAM Journal on Numerical Analysis
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionSchool of Mathematics and Statistics, Hubei Engineering University, Xiaogan 432000, Hubei, China
kaust.personSun, Shuyu
refterms.dateFOA2018-06-14T07:54:59Z


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