汇报标题 (Title)：Rigorous Modeling of Droplet Impact Dynamics on Micro-Structured Surfaces: Nonlocal Theory and SPH Simulation of Pancake Bouncing
汇报标题 (中文)：液滴撞击微结构表表动力学的严格建模：薄饼状弹跳的非部门理论与SPH仿照
汇报人 (Speaker)：乔中华 讲席教授（香港理工大学）
汇报功夫 (Time)：2025年11月4日(周二) 14:00
汇报地址 (Place)：#腾讯会议：440-558-257
约请人(Inviter)：李新祥
主办部门：理学院数学系
汇报提要：In this work, we formulate a nonlocal mathematical framework for the simulation of 3D pancake bouncing on superhydrophobic micro-cone arrays. The model incorporates intermolecular attractive forces to represent droplet surface tension, and we provide a strict theoretical derivation linking these forces quantitatively to the macroscopic surface tension coefficient, thereby circumventing the reliance on empirical parameter tuning. The complex geometry of micro-cone arrays introduces fundamental difficulties in defining local normal directions for contact algorithms. To overcome this, we develop a nonlocal contact repulsion force model that governs fluid-solid interactions and ensures numerical stability under high Weber number conditions. Based on this mathematical foundation, we implement the model using smoothed particle hydrodynamics (SPH), enabling high-precision 3D simulations. Computational experiments, validated against empirical data, confirm the model’s accuracy and robustness, while underscoring the key role of numerical simulation in elucidating droplet-microstructure interactions.
