6 papers · 1 filter
Efficient primal--dual splitting methods for a Poisson-constrained JKO scheme for Poisson-Nernst-Planck models
Wei Wu, Jin Zeng, Zhen Zhang +1
The Poisson--Nernst--Planck (PNP) equations strongly couple ionic transport and electrostatic interactions through the Poisson equation, posing substantial numerical challenges und…
A novel phase-field model for -phase problems: modeling, asymptotic analysis and numerical simulations
Lun Zhang, Chenxi Wang, Nan Lu +1
The classical phase-field modeling approaches for multiphase problems represent each phase using a regularized characteristic function, which necessarily introduces a simplex const…
Onsager Principle-Based Domain Embedding for Thermodynamically Consistent Cahn-Hilliard Model in Arbitrary Domain
Wenkai Yu, Qi Wang, Zhen Zhang +1
The original Cahn-Hilliard model in an arbitrary domain with two prescribed boundary conditions is extended to a Cahn-Hilliard-type model in a larger, regular domain with homogeneo…
Thermodynamically Consistent Modeling and Stable ALE Approximations of Reactive Semi-Permeable Interfaces
Weidong Shi, Shixin Xu, Zhen Zhang +1
Reactive, semi-permeable interfaces play important roles in key biological processes such as targeted drug delivery, lipid metabolism, and signal transduction. These systems involv…
Primal-dual splitting methods for phase-field surfactant model with moving contact lines
Wei Wu, Zhen Zhang, Chaozhen Wei
Surfactants have important effects on the dynamics of droplets on solid surfaces, which has inspired many industrial applications. Phase-field surfactant model with moving contact…
An operator-splitting optimization approach for phase-field simulation of equilibrium shapes of crystals
Zeyu Zhou, Wen Huang, Wei Jiang +1
Computing equilibrium shapes of crystals (ESC) is a challenging problem in materials science that involves minimizing an orientation-dependent (i.e., anisotropic) surface energy fu…