Efficient Numerical Method of the 1D Motion of Two-Phase Fluid through Porous Medium in a Class of Discontinuous Functions

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dc.contributor.authorSinsoysal, Bahaddin
dc.contributor.authorRasulov, Mahir
dc.date.accessioned2024-03-13T10:30:22Z
dc.date.available2024-03-13T10:30:22Z
dc.date.issued2009
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description4th International Conference on Numerical Analysis and Applications -- JUN 16-20, 2008 -- Univ Rousse, Dept Numer Anal & Statist, Lozenetz, BULGARIAen_US
dc.description.abstractIn this paper a new numerical method for nonlinear system of partial differential equations which describes motion of a two-phase compressible fluid in microscopic porous medium in a class of discontinuous functions is suggested. For this aim, at first, the system of equations is split in two equations according to physical parameters. First one with respect to water saturation, and the other one with respect to pressure. Then, the special auxiliary problem having some advantages over the main problem is introduced. This auxiliary problem permits to develop the efficient numerical algorithm for obtaining the solution. Using the solution of the auxiliary problem, the solution of the main problem, which expresses all the physical properties is found.en_US
dc.identifier.endpage539en_US
dc.identifier.isbn978-3-642-00463-6
dc.identifier.issn0302-9743
dc.identifier.issn1611-3349
dc.identifier.scopus2-s2.0-67650482659en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage532en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12662/3305
dc.identifier.volume5434en_US
dc.identifier.wosWOS:000265070800062en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer-Verlag Berlinen_US
dc.relation.ispartofNumerical Analysis And Its Applications: 4th International Conference, Naa 2008en_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.titleEfficient Numerical Method of the 1D Motion of Two-Phase Fluid through Porous Medium in a Class of Discontinuous Functionsen_US
dc.typeConference Objecten_US

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