A mixed finite element discretization scheme for a concrete carbonation model with concentration-dependent porosity

Abstract

We investigate a prototypical reaction–diffusion-flow problem in saturated/unsaturated porous media. The special features of our problem are twofold: the reaction produces water and therefore the flow and transport are coupled in both directions and moreover, the reaction may alter the microstructure. This means we have a variable porosity in our model.

For the spatial discretization we propose a mass conservative scheme based on the mixed finite element method (MFEM). The scheme is semi-implicit in time. Error estimates are obtained for some particular cases. We apply our finite element methodology for the case of concrete carbonation—one of the most important physico-chemical processes affecting the durability of concrete.

Authors

Florin A. Radu

Adrian Muntean

Iuliu S. Pop

Nicolae Suciu

Olaf Kolditz

Keywords

Coupled reactive transport; Convergence analysis; Carbonation

Cite this paper as:

F.A. Radu, A. Muntean, I.S. Pop, N. Suciu, O. Kolditz (2013), A mixed finite element discretization scheme for a concrete carbonation model with concentration-dependent porosity, J. Comput. Appl. Math., 246, 74-85, doi: 10.1016/j.cam.2012.10.017

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Journal

Journal of Computational and Applied Mathematics

Publisher Name

Elsevier

Print ISSN

0377-0427

Online ISSN

Not available yet.

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References

References

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