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

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

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    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
    Originele taal-2Engels
    Plaats van productieEindhoven
    UitgeverijTechnische Universiteit Eindhoven
    Aantal pagina's28
    StatusGepubliceerd - 2012

    Publicatie series

    NaamCASA-report
    Volume1208
    ISSN van geprinte versie0926-4507

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