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Numerical Mathematics and Advanced Applications 2011 pp 703–711Cite as

Numerical Analysis for an Upscaled Model for Dissolution and Precipitation in Porous Media

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Abstract

In this paper, we discuss some numerical schemes for an upscaled (core scale) model describing the transport, precipitation and dissolution of solutes in a porous medium. We consider two weak formulations, conformal and mixed. We discuss the time discretization in both formulations and prove the convergence of the resulting schemes. A numerical study is presented for the mixed formulation.

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Acknowledgements

The financial support of STW (project 07796) is gratefully acknowledged by K. Kumar.

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Authors and Affiliations

  1. CASA, Technische Universiteit Eindhoven, 513, 5600 MB, Eindhoven, The Netherlands

    K. Kumar & I. S. Pop

  2. Institute of Mathematics, University of Bergen, Johannes Bruns gt. 12, Bergen, Norway

    F. A. Radu

Authors
  1. K. Kumar
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  2. I. S. Pop
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  3. F. A. Radu
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Corresponding author

Correspondence to K. Kumar .

Editor information

Editors and Affiliations

  1. , Department of Mathematics, University of Leicester, Leicester, LE!1 7RH, United Kingdom

    Andrea Cangiani

  2. , Department of Mathematics, University of Leicester, Leicester, LE1 7RL, United Kingdom

    Ruslan L. Davidchack

  3. , Department of Mathematics, University of Leicester, Leicester, LE1 7RH, United Kingdom

    Emmanuil Georgoulis

  4. , Department of Mathematics, University of Leicester, Leicester, LE1 7RH, United Kingdom

    Alexander N. Gorban

  5. , Department of Mathematics, University of Leicester, Leicester, LE1 7RH, United Kingdom

    Jeremy Levesley

  6. , School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, United Kingdom

    Michael V. Tretyakov

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Kumar, K., Pop, I.S., Radu, F.A. (2013). Numerical Analysis for an Upscaled Model for Dissolution and Precipitation in Porous Media. In: Cangiani, A., Davidchack, R., Georgoulis, E., Gorban, A., Levesley, J., Tretyakov, M. (eds) Numerical Mathematics and Advanced Applications 2011. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33134-3_74

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