Journal article
M. Bastidas, C. Bringedal, I. S. Pop
Applied Mathematics and Computation, 2021
Applied Mathematics and Computation, 2021
Semantic Scholar
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DOI
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APA
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Bastidas, M., Bringedal, C., & Pop, I. S. (2021). A two-scale iterative scheme for a phase-field model for precipitation and dissolution in porous media. Applied Mathematics and Computation.
Chicago/Turabian
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Bastidas, M., C. Bringedal, and I. S. Pop. “A Two-Scale Iterative Scheme for a Phase-Field Model for Precipitation and Dissolution in Porous Media.” Applied Mathematics and Computation (2021).
MLA
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Bastidas, M., et al. “A Two-Scale Iterative Scheme for a Phase-Field Model for Precipitation and Dissolution in Porous Media.” Applied Mathematics and Computation, 2021.
BibTeX Click to copy
@article{m2021a,
title = {A two-scale iterative scheme for a phase-field model for precipitation and dissolution in porous media},
year = {2021},
journal = {Applied Mathematics and Computation},
author = {Bastidas, M. and Bringedal, C. and Pop, I. S.}
}
Abstract
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.