Convergence analysis for a conformal discretization of a model for precipitation and dissolution in porous media

K. Kumar, I.S. Pop, F.A. Radu

    Research output: Book/ReportReportAcademic

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    Abstract

    In this paper we discuss the numerical analysis of an upscaled (core scale) model describing the transport, precipitation and dissolution of solutes in a porous medium. The particularity lies in the modeling of the reaction term, especially the dissolution term, which has a multivalued character. We consider the weak formulation for the upscaled equation and provide rigorous stability and convergence results for both the semi-discrete (time discretization) and the fully discrete scheme. In doing so, compactness arguments are employed. Keywords: Numerical analysis, reactive ¿ows, weak formulation, implicit scheme, ¿nite element discretization
    Original languageEnglish
    Place of PublicationEindhoven
    PublisherTechnische Universiteit Eindhoven
    Number of pages28
    Publication statusPublished - 2012

    Publication series

    NameCASA-report
    Volume1208
    ISSN (Print)0926-4507

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