Unconditionally energy stable and bound-preserving schemes for phase-field surfactant model with moving contact lines
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：张振（南方科技大学）
：2021-11-12 10:30
：厦门大学海韵园数理大楼6楼686会议室
报告人：张振（南方科技大学）
时 间：11月12日上午10:30
地 点：厦门大学海韵园数理大楼6楼686会议室
内容摘要:
We propose an unconditionally energy stable and bound-preserving scheme for the phase-field model of moving contact line with soluble surfactants (PF-MCL-SS). This model consists of two Cahn-Hilliard type equations governing the evolution of interface and surfactant concentration with the dynamical boundary condition for moving contact lines. Moreover, the total free energy contains two Flory-Huggins energy potential terms with logarithmic singularity. The proposed schemes are decoupled and have the following four properties: unique solvability, conservation of mass, bound-preserving and energy stability. We rigorously prove that the first-order scheme has all the desired properties, and the second-order scheme satisfies the first three properties. Numerical examples are presented to show the desired accuracy and all properties for both schemes. We also present numerical examples for the influence of surfactants on the contact line dynamics.
个人简介：
张振，南方科技大学数学系副教授，博士生导师，主要研究领域在于应用问题的建模和计算，特别是数值偏微分方程，多相复杂流模型，以及高维数据分析。本科毕业于中国科学技术大学，之后进入香港科技大学学习并于2013年获得应用数学博士学位，师从王筱平教授。他于2013年至2015年在新加坡国立大学从事计算数学的博士后研究，并在2015年加入了南方科技大学。
联系人：熊涛
