A mixed finite element discretization scheme for a concrete carbonation model with concentration-dependent porosity. Radu, F., Muntean, A., Pop, I., Suciu, N., & Kolditz, O. Journal of Computational and Applied Mathematics, 2013.
doi  abstract   bibtex   
© 2012 Elsevier B.V. All rights reserved. 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.
@article{
 title = {A mixed finite element discretization scheme for a concrete carbonation model with concentration-dependent porosity},
 type = {article},
 year = {2013},
 keywords = {Carbonation,Convergence analysis,Coupled reactive transport},
 volume = {246},
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 abstract = {© 2012 Elsevier B.V. All rights reserved. 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.},
 bibtype = {article},
 author = {Radu, F.A. and Muntean, A. and Pop, I.S. and Suciu, N. and Kolditz, O.},
 doi = {10.1016/j.cam.2012.10.017},
 journal = {Journal of Computational and Applied Mathematics}
}

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