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dc.contributor.authorLie, Knut-Andreas
dc.contributor.authorMykkeltvedt, Trine Solberg
dc.contributor.authorMøyner, Olav
dc.date.accessioned2020-01-28T09:23:35Z
dc.date.available2020-01-28T09:23:35Z
dc.date.created2019-05-04T12:23:52Z
dc.date.issued2019
dc.identifier.citationComputational Geosciences. 2019, 1-19.nb_NO
dc.identifier.issn1420-0597
dc.identifier.urihttp://hdl.handle.net/11250/2638221
dc.description.abstractMany authors have used higher-order spatial discretizations to reduce numerical diffusion, which can be particularly pronounced when simulating EOR processes involving active chemical substances that are transported by linear or weakly nonlinear waves. Most high-resolution methods reported in the literature are based on explicit temporal discretizations. This imposes severe time-step restrictions when applied to the type of grids seen in industry-standard simulation models of real assets, which usually have orders-of-magnitude variations in porosities and Darcy velocities that necessitate the use of implicit discretization. Herein, we propose a second-order WENO discretization suitable for complex grids with polyhedral cell geometries, unstructured topologies, large aspect ratios, and large variations in interface areas. The WENO scheme is developed as part of a standard, fully implicit formulation that solves for pressure and transported quantities simultaneously. We investigate the accuracy and utility of the WENO scheme for a series of test cases that involve corner-point and 2D/3D Voronoi grids and black-oil and compositional flow models.nb_NO
dc.language.isoengnb_NO
dc.publisherSpringernb_NO
dc.subjectReservoarmodelleringnb_NO
dc.subjectReservoir modellingnb_NO
dc.titleA fully implicit WENO scheme on stratigraphic and unstructured polyhedral gridsnb_NO
dc.typeJournal articlenb_NO
dc.typePeer reviewednb_NO
dc.description.versionacceptedVersionnb_NO
dc.rights.holderPostprint version of published article. Original article available at www.springerlink.com http://dx.doi.org/10.1007/s10596-019-9829-xnb_NO
dc.subject.nsiVDP::Anvendt matematikk: 413nb_NO
dc.subject.nsiVDP::Applied mathematics: 413nb_NO
dc.source.pagenumber1-19nb_NO
dc.source.journalComputational Geosciencesnb_NO
dc.identifier.doi10.1007/s10596-019-9829-x
dc.identifier.cristin1695585
dc.relation.projectNorges forskningsråd: 244361nb_NO
dc.relation.projectVISTA: 6366nb_NO
dc.relation.projectNorges forskningsråd: 230303nb_NO
cristin.unitcode7401,90,26,0
cristin.unitnameMathematics and Cybernetics
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode1


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