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Modified Method of Characteristics Combined with Finite Volume Element Methods for Incompressible Miscible Displacement Problems in Porous Media

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dc.contributor.author Yadav, Sangita
dc.date.accessioned 2023-08-16T03:57:46Z
dc.date.available 2023-08-16T03:57:46Z
dc.date.issued 2014
dc.identifier.uri https://www.hindawi.com/journals/ijpde/2014/245086/
dc.identifier.uri http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11399
dc.description.abstract The incompressible miscible displacement problem in porous media is modeled by a coupled system of two nonlinear partial differential equations, the pressure-velocity equation and the concentration equation. In this paper, we present a mixed finite volume element method (FVEM) for the approximation of the pressure-velocity equation. Since modified method of characteristics (MMOC) minimizes the grid orientation effect, for the approximation of the concentration equation, we apply a standard FVEM combined with MMOC. A priori error estimates in norm are derived for velocity, pressure and concentration. Numerical results are presented to substantiate the validity of the theoretical results. en_US
dc.language.iso en en_US
dc.publisher Hindawi Publishing Corporation en_US
dc.subject Mathematics en_US
dc.subject Porous media en_US
dc.subject Miscible Displacement en_US
dc.title Modified Method of Characteristics Combined with Finite Volume Element Methods for Incompressible Miscible Displacement Problems in Porous Media en_US
dc.type Article en_US


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