Modeling Two-Phase System in Complex Domains Based on Phase-Field Approach with Interfacial Correction
Year: 2024
Author: Jingwen Wu, Zhijun Tan
Communications in Computational Physics, Vol. 36 (2024), Iss. 1 : pp. 104–132
Abstract
We introduce a novel phase-field model designed for ternary Cahn-Hilliard (CH) dynamics, incorporating contact angle boundary conditions within complex domains. In this model, we utilize a fixed phase field variable to accurately represent intricate domains within the ternary CH system. Simultaneously, the remaining two phase field variables are employed to simulate CH dynamics effectively. The contact angle term is derived from Young’s equality and the hyperbolic tangent profile of the equilibrium interface. To ensure compliance with the hyperbolic tangent property at the interface, a fidelity term is incorporated into the original CH model. This addition reduces mass loss for each phase and improves the accuracy of the contact angle effect. Moreover, we implement a finite difference scheme along with a nonlinear multigrid method to solve the corrected ternary CH model. A series of numerical experiments is conducted in both two- and three-dimensional spaces to demonstrate the efficiency and robustness of the proposed model.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2023-0295
Communications in Computational Physics, Vol. 36 (2024), Iss. 1 : pp. 104–132
Published online: 2024-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 29
Keywords: Ternary Cahn-Hilliard system complex domains hyperbolic tangent property multigrid method.