Publications › Journal article · 2016
A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids
Journal of Computational Physics, 305, 539-556, 2016.
Abstract
We develop a linear, first-order, decoupled, energy-stable scheme for a two-phase 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 unconditional 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 dimension 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.
Cite
@article{zhao2016des,
author = {Zhao, J. and Yang, X. and Shen, J. and Wang, Q.},
title = {A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids},
journal = {Journal of Computational Physics},
volume = {305},
pages = {539-556},
year = {2016},
doi = {10.1016/j.jcp.2015.09.044},
}Author marks: * corresponding, △ co-first, ♠ graduate student, ♣ undergraduate student, ♡ postdoc, at the time of the work.