@article{Li2024, 
author = {Wei Li and Guangying Lv},
title = {A fully-decoupled energy stable scheme for the phase-field model of non-Newtonian two-phase flows},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {7},
pages = {19385-19396},
keywords = {phase-field model, non-Newtonian two-phase flows, stabilized-SAV approach, unconditionally energy-stable scheme},
url = {https://www.sciopen.com/article/10.3934/math.2024944},
doi = {10.3934/math.2024944},
abstract = {In this paper, we first propose a novel fully-decoupled, linear and second-order time accurate scheme to solve the phase-field model of non-Newtonian two-phase flows; the developed scheme is based on a stabilized Scalar Auxiliary Variable (SAV) approach. We strictly prove the unconditional energy stability of the scheme and conduct a numerical simulation to show the accuracy and stability of the proposed scheme. Moreover, we can observe that the parameter    r in non-Newtonian fluids can affect spatial patterns during phase transitions, which directly enables us to design and perform optimal control experiments in engineering processes.}
}