A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids

作者：Zhao, Jia; Yang, Xiaofeng; Shen, Jie; Wang, Qi^*

来源：Journal of Computational Physics, 2016, 305: 539-556.

DOI：10.1016/j.jcp.2015.09.044

• Phase field
• Energy stable scheme
• Liquid crystals
• Free surface flows
• Finite difference
• GPU

We develop a linear, first-order, decoupled, energy-stable scheme for a binary hydrodynamic phase field model of mixtures of nematic liquid crystals and viscous fluids that satisfies an energy dissipation law. We show that the semi-discrete scheme in time satisfies an analogous, semi-discrete energy-dissipation law for any time-step and is therefore unconditionally stable. We then discretize the spatial operators in the scheme by a finite-difference method and implement the fully discrete scheme in a simplified version using CUDA on GPUs in 3 dimensions in space and time. Two numerical examples for rupture of nematic liquid crystal filaments immersed in a viscous fluid matrix are given, illustrating the effectiveness of this new scheme in resolving complex interfacial phenomena in free surface flows of nematic liquid crystals.

• 出版日期2016-1-15
• 单位南开大学; 北京计算科学研究中心