5 papers
An SPH model with physically prescribed parameters for droplet dynamics on complex surfaces
Zhonghua Qiao, Yifan Wei, Xianmin Xu
Numerical simulation of droplet dynamics on complex surfaces with varying wettability is of great significance to both engineering applications and fundamental research. However, e…
Phase-Field Modeling and Energy-Stable Schemes for Osmotic Flow through Semi-Permeable
Ruihan Guo, Jie Shen, Shixin Xu +1
We present a thermodynamically consistent phase-field model for simulating fluid transport across semi-permeable membranes, with a particular focus on osmotic pressure effects. The…
A Variational Discretization Method for Mean Curvature Flows by the Onsager Principle
Yihe Liu, Xianmin Xu
The mean curvature flow describes the evolution of a surface (a curve) with normal velocity proportional to the local mean curvature. It has many applications in mathematics, scien…
The Onsager principle and structure preserving numerical schemes
Huangxin Chen, Hailiang Liu, Xianmin Xu
We present a natural framework for constructing energy-stable time discretization schemes. By leveraging the Onsager principle, we demonstrate its efficacy in formulating partial d…
Solution landscape of droplet on rough surfaces: wetting transition and directional transport
Yuze Zhang, Xuelong Gu, Yushun Wang +2
Droplets on rough surfaces can exhibit various stationary states that are crucial for designing hydrophobic materials and enabling directional liquid transport. Here we introduce a…