- 教授
- 博士生导师
- 硕士生导师
- 电子邮箱：
- 入职时间：1997-07-01
- 学历：博士研究生毕业
- 性别：男
- 学位：博士
- 在职信息：在职
- 毕业院校：西安交通大学
- 所属院系：数学与统计学院
- 学科：数学
Numerical approximation of the two-component PFC models for binary colloidal crystals: efficient, decoupled, and second-order unconditionally energy stable schemes
- 发布时间：2025-04-30
- 论文名称：Numerical approximation of the two-component PFC models for binary colloidal crystals: efficient, decoupled, and second-order unconditionally energy stable schemes
- 发表刊物：Journal of Scientific Computing
- 摘要：In this paper, we consider numerical approximations for the two-component PFC models for binary colloidal crystals. In addition to the Cahn-Hilliard type two-component PFC model that is commonly used for considering mass conservation, we also derived a new Allen--Cahn type two-component PFC model by using the $L^2$-gradient flow and add two nonlocal Lagrange multipliers to the system to conserve the mass for each component. For these two types of two-component PFC models, the stabilized Scalar Auxiliary Variable (SAV) approach is adopted to develop efficient, decoupled, second-order accurate, and linear numerical schemes, where a new scalar auxiliary variable is introduced to reformulate the models, and two extra linear stabilization terms are added to improve the stability and keep the required accuracy thus allowing large time steps. These schemes are unconditionally energy stable, mass conservative and require solving only four linear equations with constant coefficients at each time step. Numerical examples are performed to demonstrate the accuracy and energy stability of the proposed schemes, and numerous 2D and 3D simulations are also presented to show a variety of complex binary ordered patterns of phase
transformation. - 合写作者：Qi Li, Liquan Mei
- 卷号：88
- 页面范围：60
- 是否译文：否
- 发表时间：2021-07-22
- 合写作者：Qi Li, Liquan Mei