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dc.contributor.authorRadu, Adrian Florin
dc.contributor.authorNordbotten, Jan Martin
dc.contributor.authorPop, Iuliu Sorin
dc.contributor.authorKumar, Kundan
dc.PublishedJournal of Computational and Applied Mathematics 2015, 289:134-141eng
dc.description.abstractIn this work we consider a mathematical model for two-phase flow in porous media. The fluids are assumed immiscible and incompressible and the solid matrix non-deformable. The mathematical model for the two-phase flow is written in terms of the global pressure and a complementary pressure (obtained by using the Kirchhoff transformation) as primary unknowns. For the spatial discretization, finite volumes have been used (more precisely the multi-point flux approximation method) and in time the backward Euler method has been employed. We present here a new linearization scheme for the nonlinear system arising after the temporal and spatial discretization. We show that the scheme is linearly convergent. Numerical experiments are presented that sustain the theoretical results.en_US
dc.rightsAttribution CC BY-NC-NDeng
dc.subjectTwo-phase floweng
dc.subjectLinearization schemeseng
dc.subjectFinite volumeeng
dc.subjectConvergence analysiseng
dc.titleA robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous mediaen_US
dc.typePeer reviewed
dc.typeJournal article
dc.rights.holderCopyright 2015 The Authorsen_US

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