The Solution of the Riemann Problem for a Hyperbolic System of Conservation Laws Modeling Polymer Flooding

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Previous article Next article The Solution of the Riemann Problem for a Hyperbolic System of Conservation Laws Modeling Polymer FloodingThormod Johansen and Ragnar WintherThormod Johansen and Ragnar Wintherhttps://doi.org/10.1137/0519039PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractThe global Riemann problem for a nonstrictly hyperbolic system of conservation laws modeling polymer flooding is solved. In particular, the system contains a term that models adsorption effects.[1] A. I. Chorin, Random choice solution of hyperbolic systems, J. Computational Phys., 22 (1976), 517–533 10.1016/0021-9991(76)90047-4 57:11077 0354.65047 CrossrefISIGoogle Scholar[2] Paul Concus and , Włodzimierz Proskurowski, Numerical solution of a nonlinear hyperbolic equation by the random choice method, J. Comput. Phys., 30 (1979), 153–166 10.1016/0021-9991(79)90096-2 80c:65014 0399.65068 CrossrefISIGoogle Scholar[3] I. 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Smoller, Shock Waves and Reaction-Diffusion Equations, Springer-Verlag, New York, 1982 Google ScholarKeywordsRiemann problempolymer floodingadsorption Previous article Next article FiguresRelatedReferencesCited byDetails Delta-shock for a class of strictly hyperbolic systems of conservation laws17 May 2022 | International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 0, No. 0 Cross Ref How simplifying capillary effects can affect the traveling wave solution profiles of the foam flow in porous mediaInternational Journal of Non-Linear Mechanics, Vol. 139 Cross Ref Riemann Problem for a Class of Non-strictly Hyperbolic Systems of Conservation Laws12 January 2022 | Acta Applicandae Mathematicae, Vol. 177, No. 1 Cross Ref Global entropy solutions for systems modelling polymer flooding in enhanced oil recoveryApplied Mathematics Letters, Vol. 122 Cross Ref Oil displacement by multicomponent slug injection: An analytical solution for Langmuir adsorption isothermJournal of 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