9 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…
A Thermodynamically Consistent Model for Multicomponent Vesicles
Wangbo Luo, Zhonghua Qiao, Yanxiang Zhao
We develop a thermodynamically consistent diffuse-interface model for multicomponent membranes. The proposed model is derived from a coupled free energy functional that incorporate…
Finite Element Approximation of Nonlocal Problems with Heterogeneous Localization and Local Boundary Conditions
Yuyan Chang, Hui Liang, Zhonghua Qiao
This paper studies the finite element approximation of a one-dimensional nonlocal Poisson problem with heterogeneous localization and homogeneous local Dirichlet boundary condition…
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…
Exponential Time Differencing Schemes for a Phase-Field Model of Multicomponent Membranes
Wangbo Luo, Zhonghua Qiao, Yanxiang Zhao
In this paper, we develop and analyze exponential time differencing (ETD) schemes for a phase-field model of multicomponent membranes proposed in our previous work \cite{luo2025oht…
Ohta-Kawasaki Model Reveals Patterns on Multicomponent Vesicles
Wangbo Luo, Zhonghua Qiao, Yanxiang Zhao
We present a new mechanochemical modeling framework to explore the shape deformation and pattern formation in multicomponent vesicle membranes. In this framework, the shape of the…
An Effective Model for Droplet Impact Dynamics on Micro-Structured Surfaces: Nonlocal Theory and SPH Simulation of Pancake Bouncing
Zhonghua Qiao, Zuankai Wang, Yifan Wei
The accurate mathematical modeling of droplet impact dynamics on micro-structured surfaces is fundamental to understanding and predicting complex fluid behaviors relevant to a wide…
Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach
Ruo Li, Shengtong Liang, Zhonghua Qiao
The Cahn-Hilliard equation with Flory-Huggins potential serves as a fundamental phase field model for describing phase separation phenomena. Due to the presence of logarithmic sing…
Convergence analysis of SPH method on irregular particle distributions for the Poisson equation
Zhonghua Qiao, Yifan Wei
The numerical accuracy of particle-based approximations in Smoothed Particle Hydrodynamics (SPH) is significantly affected by the spatial uniformity of particle distributions, espe…