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http://hdl.handle.net/1942/33104
Title: | A two-scale iterative scheme for a phase-field model for precipitation and dissolution in porous media | Authors: | BASTIDAS OLIVARES, Manuela BRINGEDAL, Carina POP, Sorin |
Issue Date: | 2021 | Publisher: | Elsevier | Source: | APPLIED MATHEMATICS AND COMPUTATION, 396 (Art N° 125933) | 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 | Document URI: | http://hdl.handle.net/1942/33104 | ISSN: | 0096-3003 | e-ISSN: | 1873-5649 | DOI: | 10.1016/j.amc.2020.125933 | ISI #: | WOS:000606674600020 | Rights: | 2021 Elsevier Inc. All rights reserved. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2022 |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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AMCManuela.pdf Restricted Access | Published version | 5.37 MB | Adobe PDF | View/Open Request a copy |
Bastidas_PhaseFiedsREVISED_nocolor.pdf | Non Peer-reviewed author version | 15.71 MB | Adobe PDF | View/Open |
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