Convergence analysis of a fully discrete energy-stable numerical scheme for the Q-tensor flow of liquid crystals
Convergence analysis of a fully discrete energy-stable numerical scheme for the Q-tensor flow of liquid crystals
复制标题
DOI：
10.1137/20m1383550
复制
发表时间：
2020-12
期刊：
影响因子：
--
通讯作者：
Varun M. Gudibanda;F. Weber;Yukun Yue
中科院分区：
文献类型：
--
作者：
Varun M. Gudibanda;F. Weber;Yukun Yue
本文在Zhao， Yang， Gong和Wang （Comput）的能量稳定半离散格式的基础上，提出了液晶q -张量流动的完全离散收敛有限差分格式。方法:。动力机械。Engrg。2017)。证明了该格式的稳定性，并证明了该格式对q张量流方程弱解的收敛性。通过数值仿真验证了该方案的有效性。
We present a fully discrete convergent finite difference scheme for the Q-tensor flow of liquid crystals based on the energy-stable semi-discrete scheme by Zhao, Yang, Gong, and Wang (Comput. Methods Appl. Mech. Engrg. 2017). We prove stability properties of the scheme and show convergence to weak solutions of the Q-tensor flow equations. We demonstrate the performance of the scheme in numerical simulations.