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A Mixed Hybrid Finite Element Discretization Scheme for Reactive Transport in Porous Media

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • F. A. Radu

    (UFZ-Helmholtz Center for Environmental Research
    University of Jena)

  • M. Bause

    (University of Erlangen-Nuremberg, Mathematics Department)

  • A. Prechtel

    (University of Erlangen-Nuremberg, Mathematics Department)

  • S. Attinger

    (UFZ-Helmholtz Center for Environmental Research
    University of Jena)

Abstract

We present a model to describe the simultaneous reactive transport in porous media of an arbitrary number of mobile and immobile species. The model includes the effects of advection, dispersion, sorption and degradation catalysed by microbial populations. The locally mass-conservative mixed hybrid finite element method (MHFEM) to discretize this system of coupled convection-diffusion-reaction equations and the algorithmic solution of the resulting nonlinear algebraic equations are described in detail. Further, new ideas regarding the discretization of the convective term are discussed. Finally a comparative numerical study (MHFEM versus conforming FEM) is presented.

Suggested Citation

  • F. A. Radu & M. Bause & A. Prechtel & S. Attinger, 2008. "A Mixed Hybrid Finite Element Discretization Scheme for Reactive Transport in Porous Media," Springer Books, in: Karl Kunisch & Günther Of & Olaf Steinbach (ed.), Numerical Mathematics and Advanced Applications, pages 513-520, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-69777-0_61
    DOI: 10.1007/978-3-540-69777-0_61
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