TY - JOUR
T1 - Modeling Two-Phase System in Complex Domains Based on Phase-Field Approach with Interfacial Correction
AU - Wu , Jingwen
AU - Tan , Zhijun
JO - Communications in Computational Physics
VL - 1
SP - 104
EP - 132
PY - 2024
DA - 2024/07
SN - 36
DO - http://doi.org/10.4208/cicp.OA-2023-0295
UR - https://global-sci.org/intro/article_detail/cicp/23298.html
KW - Ternary Cahn-Hilliard system, complex domains, hyperbolic tangent property, multigrid method.
AB - <p style="text-align: justify;">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.</p>