6 papers
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…
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…
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…
A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC)
Zeyu Zhou, Wei Jiang, Tiezheng Qian +1
As popular approximations to sharp-interface models, the Cahn-Hilliard type phase-field models are usually used to simulate interface dynamics with volume conservation. However, th…
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…
Equilibrium Conserving Neural Operators for Super-Resolution Learning
Vivek Oommen, Andreas E. Robertson, Daniel Diaz +5
Neural surrogate solvers can estimate solutions to partial differential equations in physical problems more efficiently than standard numerical methods, but require extensive high-…