3 citations · 3 across the 6 of their papers we have counts for
7 papers
Linear and entropy-stable scheme for the dynamic van der Waals model of non-isothermal liquid-vapor flows
Yunzhuo Guo, Zhonghua Qiao, Xianmin Xu
In this paper, we propose a linear and decoupled fully discrete scheme that preserves the entropy production property for the dynamic van der Waals model. This model provides a the…
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…
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…
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…
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…
A Moving Mesh Method for Porous Medium Equation by the Onsager Variational Principle
Si Xiao, Xianmin Xu
In this paper, we introduce a new approach to solving the porous medium equation using a moving mesh finite element method that leverages the Onsager variational principle as an ap…