Numerical solution of one dimensional filtration of three phase compressible fluid through porous medium in a class of discontinuous functions

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dc.contributor.authorRasulov, M
dc.date.accessioned2024-03-13T10:30:55Z
dc.date.available2024-03-13T10:30:55Z
dc.date.issued2005
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description.abstractA numerical method is proposed for a system of nonlinear partial differential equations which describe the flow of three phased mixture in a porous medium taking the capillary pressure into account. For this aim, firstly, by splitting the system of differential equations with respect to physical factors, a special auxiliary problem is introduced. Then, on the basis of this auxiliary problem, the finite differences method for solving the solution of the main problem in a class of discontinuous functions is developed, which accurately describes the whole properties of the physical problem at interest. Some results of the numerical experiments of physical interest are presented. (c) 2004 Elsevier Inc. All rights reserved.en_US
dc.identifier.doi10.1016/j.amc.2004.08.032
dc.identifier.endpage1266en_US
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-25144455696en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage1249en_US
dc.identifier.urihttps://doi.org/10.1016/j.amc.2004.08.032
dc.identifier.urihttps://hdl.handle.net/20.500.12662/3605
dc.identifier.volume167en_US
dc.identifier.wosWOS:000232501200034en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofApplied Mathematics And Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectnumerical modeling filtration of three phase mixture in a porous mediumen_US
dc.subjectdynamical distribution of saturationsen_US
dc.subjectnonlinear wave propagationen_US
dc.subjectshock wavesen_US
dc.subjectsplitting on physical factorsen_US
dc.titleNumerical solution of one dimensional filtration of three phase compressible fluid through porous medium in a class of discontinuous functionsen_US
dc.typeArticleen_US

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