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

F.A. Radu, A. Muntean, I.S. Pop, N. Suciu, O. Kolditz

Research output: Contribution to journalArticleAcademicpeer-review

12 Citations (Scopus)
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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.
Original languageEnglish
Pages (from-to)74-85
JournalJournal of Computational and Applied Mathematics
Volume246
DOIs
Publication statusPublished - 2013

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