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

Radu AF, Bause M, Prechtel A, Attinger S (2008)

Publication Language: English

Publication Status: Published

Publication Type: Conference contribution, Conference Contribution

Publication year: 2008

Publisher: Springer

City/Town: Berlin, Heidelberg

Pages Range: 513-520

Conference Proceedings Title: Numerical Mathematics and Advanced Applications

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.

Authors with CRIS profile

Alexander Prechtel Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

Involved external institutions

University of Bergen / Universitetet i Bergen NO Norway (NO) Friedrich-Schiller-Universität Jena DE Germany (DE)

How to cite

APA:

Radu, A.F., Bause, M., Prechtel, A., & Attinger, S. (2008). A Mixed Hybrid Finite Element Discretization Scheme for Reactive Transport in Porous Media. In Kunisch K., Of G., Steinbach O. (Eds.), Numerical Mathematics and Advanced Applications (pp. 513-520). Berlin, Heidelberg: Springer.

MLA:

Radu, Adrian Florin, et al. "A Mixed Hybrid Finite Element Discretization Scheme for Reactive Transport in Porous Media." Proceedings of the Numerical Mathematics and Advanced Applications Ed. Kunisch K., Of G., Steinbach O., Berlin, Heidelberg: Springer, 2008. 513-520.

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