Moszkowicz, P.; Pousin, J.; Sanchez, F. Diffusion and dissolution in a reactive porous medium: Mathematical modelling and numerical simulations. (English) Zbl 0854.76092 J. Comput. Appl. Math. 66, No. 1-2, 377-389 (1996). Summary: A simple mathematical model for diffusion and dissolution in reactive porous medium is presented. The case of lime and lead in solid phase enclosed in cement matrices is considered more specifically. A numerical method based on finite difference and on a marching technique is proposed, and some numerical results are provided. In a simple case, the results obtained are compared with numerical results available in literature. Cited in 5 Documents MSC: 76S05 Flows in porous media; filtration; seepage 76V05 Reaction effects in flows 76M20 Finite difference methods applied to problems in fluid mechanics Keywords:phase change; jumping nonlinearities; semilinear parabolic-hyperbolic equation; marching technique PDF BibTeX XML Cite \textit{P. Moszkowicz} et al., J. Comput. Appl. Math. 66, No. 1--2, 377--389 (1996; Zbl 0854.76092) Full Text: DOI References: [1] Buil, M.; Revertegat, E.; Olivier, J., A model of attack of pure water or undersaturated lime solutons on cement, (), 227-241, 2nd Vol., STP 1123 [2] Crank, J., The mathematics of diffusion, (1983), Clarendon Press Oxford · Zbl 0071.41401 [3] Moszkowicz, P.; Pousin, J.; Sanchez, F., Diffusion and dissolution in a reactive porous medium: mathematical modelling, Preprint no. 164, equipe d’analyse numérique Lyon saint etienne URA CNRS, 740, (1994) · Zbl 0854.76092 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.