A two-scale iterative scheme for a phase-field model for precipitation and dissolution in porous media

Manuela Bastidas Olivares, Carina Bringedal and Iuliu Sorin Pop

Applied Mathematics and Computation, 2021, vol. 396, issue C

Abstract: Mineral precipitation and dissolution processes in a porous medium can alter the structure of the medium at the scale of pores. Such changes make numerical simulations a challenging task as the geometry of the pores changes in time in an apriori unknown manner. To deal with such aspects, we here adopt a two-scale phase-field model, and propose a robust scheme for the numerical approximation of the solution. The scheme takes into account both the scale separation in the model, as well as the non-linear character of the model. After proving the convergence of the scheme, an adaptive two-scale strategy is incorporated, which improves the efficiency of the simulations. Numerical tests are presented, showing the efficiency and accuracy of the scheme in the presence of anisotropies and heterogeneities.

Keywords: Phase-field model; Homogenization; Multi-scale methods; Iterative schemes; Adaptive strategy (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:396:y:2021:i:c:s0096300320308869

DOI: 10.1016/j.amc.2020.125933

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