Diffuse-interface modeling and computation of single/compound droplets in contact with solid

主讲人：杨钧翔

摘要：In this study, a novel diffuse-interface (phase-field) model is developed to efficiently describe the dynamics of compound droplets in contact with a solid object. Based on a classical four-component Cahn-Hilliard-type system, we propose modified governing equations, in which the solid is represented by an initially fixed phase. By considering Young's equality between surface tensions and microscale contact angles, equilibrium profiles of diffuse interfaces, and horizontal force balance between contact and interfacial angles, a correction term is derived and added into the phase-field equations to reflect the accurate contact line property for each component. The proposed model can be implemented on Eulerian grids in the absence of complicated treatment on the liquid-solid boundary. The standard finite difference method (FDM) is adopted to perform discretization in space. The linear second-order time-accurate method based on the two-step backward differentiation formula (BDF2) and a stabilization technique are adopted to update the phase-field variables. To accelerate convergence in solving the resulting fully discrete system, we use the linear multigrid method. At each time step, the calculations are completely decoupled. The numerical experiments not only indicate the desired accuracy but also show superior capability in complex geometries..

主讲人简介：杨钧翔，韩国高丽大学(Korea University)应用数学专业博士，中山大学科学计算研究所科研博士后，助理研究员。研究兴趣为多物理场耦合问题的可计算建模、相场方法、多组份流体数值模拟、数值分析等。自2018年起，共参与发表SCI级论文60余篇，其中以第一/通讯作者身份发表SCI论文50篇，成果主要发表在 Journal of Computational Physics, Computer Methods in Applied Mechanics and Engineering, Communications in Nonlinear Science and Numerical Simulation, Computer Physics Communication, Applied Mathematical Modelling等期刊。主持国家自然科学基金青年项目、博士后科学基金(面上资助)。入选2022年博士后国际交流计划引进项目。

邀请人：柴振华

时间：2023年3月17日（星期五）10:00-11:30