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

作者：

Highlights：

• We propose a two-scale iterative scheme to solve a phase-field model for precipitation and dissolution in porous media.

• We combine the two-scale iterative scheme with a robust non-linear solver at the micro scale.

• We prove the boundedness of the micro-scale and macro-scale solution under certain choice of parameters.

• We prove the convergence of the two-scale iterative scheme on a simplified setting.

• We enrich the two-scale iterative scheme with an adaptive strategy to make it more efficient at both scales.

摘要

•We propose a two-scale iterative scheme to solve a phase-field model for precipitation and dissolution in porous media.•We combine the two-scale iterative scheme with a robust non-linear solver at the micro scale.•We prove the boundedness of the micro-scale and macro-scale solution under certain choice of parameters.•We prove the convergence of the two-scale iterative scheme on a simplified setting.•We enrich the two-scale iterative scheme with an adaptive strategy to make it more efficient at both scales.

论文关键词：Phase-field model,Homogenization,Multi-scale methods,Iterative schemes,Adaptive strategy

论文评审过程：Received 14 July 2020, Revised 20 October 2020, Accepted 19 December 2020, Available online 7 January 2021, Version of Record 7 January 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125933