SPH with Physically Consistent Contact Angles: Simulating Droplet Bouncing on Partially Wetting Surfaces
At 4:00 PM on May 8, 2026, at the invitation of Associate Professor Yuze Zhang and Dr. Nanxia Cai from the School of Mathematical Sciences, Professor Zhonghua Qiao, Chair Professor of the Department of Applied Mathematics at The Hong Kong Polytechnic University and a nationally recognized high-level talent, visited our school for academic exchange and guidance. He delivered a lecture titled “SPH with Physically Consistent Contact Angles: Simulating DropletBouncing on Partially Wetting Surfaces.” Faculty members and students from the Computational Mathematics Research Group attended the presentation. Professor Zhonghua Qiao is a Chair Professor at The Hong Kong Polytechnic University. He has long been dedicated to the design and analysis of numerical algorithms for differential equations, with particular systematic achievements in the numerical simulation of phase-field equations and the development of efficient algorithms for computational fluid dynamics. He has published over 100 papers in leading computational mathematics and physics journals, including SIAM Review, SIAM J. Numer. Anal., J. Comput. Phys., and J. FluidMech., with over 4,000 citations. He has received the Hong Kong Research Grants Council (RGC) Early Career Award (2013), the Hong Kong Mathematical Society Young Scholar Award (2018), and the RGC Research Fellow Award (2020). In 2025, he was elected a Fellow of the China Society for Industrial and Applied Mathematics.In this presentation, Professor Qiao first introduced the research background. He pointed out that numerical simulation of microfluidics on complex curved surfaces holds significant industrial and scientific value; however, existing numerical methods still face challenges in both physical consistency and computational efficiency. To address these issues, Professor Qiao proposed a physically rigorous, computationally robust, and efficient Smoothed Particle Hydrodynamics (SPH) framework. Specifically, the framework introduces a nonlocal representation of inter-surface attractive and repulsive forces and systematically validates the consistency between the numerical method and the theoretical contact angle described by Young’s equation. Furthermore, based on this framework, he simulated droplet bouncing behavior on surfaces with patterned wettability. The numerical results fully demonstrate the effectiveness of the proposed algorithm.After the report, attending faculty members engaged in in-depth discussions with Professor Qiao on the details of the SPH framework. The lecture sparked lively discussions among the participants on cutting-edge topics such as the modeling of microfluidics on complex curved surfaces and the nonlocal representation of interfacial forces. It also opened new directions for improving the physical consistency and computational efficiency of numerical simulations in microfluidics.