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dc.contributor.authorKassa, Abay
dc.contributor.authorKumar, Kundan
dc.contributor.authorGasda, Sarah
dc.contributor.authorRadu, Florin Adrian
dc.date.accessioned2021-05-11T11:48:15Z
dc.date.available2021-05-11T11:48:15Z
dc.date.created2020-11-30T13:21:19Z
dc.date.issued2021
dc.PublishedInternational Journal for Numerical Methods in Fluids. 2020, 1-17.
dc.identifier.issn0271-2091
dc.identifier.urihttps://hdl.handle.net/11250/2754899
dc.description.abstractIn this article, we consider a nonlocal (in time) two‐phase flow model. The nonlocality is introduced through the wettability alteration induced dynamic capillary pressure function. We present a monotone fixed‐point iterative linearization scheme for the resulting nonstandard model. The scheme treats the dynamic capillary pressure functions semiimplicitly and introduces an L‐scheme type stabilization term in the pressure as well as the transport equations. We prove the convergence of the proposed scheme theoretically under physically acceptable assumptions, and verify the theoretical analysis with numerical simulations. The scheme is implemented and tested for a variety of reservoir heterogeneities in addition to the dynamic change of the capillary pressure function. The proposed scheme satisfies the predefined stopping criterion within a few number of iterations. We also compared the performance of the proposed scheme against the iterative implicit pressure explicit saturation scheme.en_US
dc.language.isoengen_US
dc.publisherWileyen_US
dc.rightsNavngivelse 4.0 Internasjonal*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.no*
dc.titleImplicit linearization scheme for nonstandard two-phase flow in porous mediaen_US
dc.typeJournal articleen_US
dc.typePeer revieweden_US
dc.description.versionpublishedVersionen_US
dc.rights.holderCopyright 2020 The Authorsen_US
cristin.ispublishedtrue
cristin.fulltextoriginal
cristin.qualitycode1
dc.identifier.doi10.1002/fld.4891
dc.identifier.cristin1854147
dc.source.journalInternational Journal for Numerical Methods in Fluidsen_US
dc.source.pagenumber445-461en_US
dc.identifier.citationInternational Journal for Numerical Methods in Fluids. 2021, 93(2), 445-461en_US
dc.source.volume93en_US
dc.source.issue2en_US


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