Computer Modeling of Liquid Crystal Hydrodynamics
Computer Modeling of Liquid Crystal Hydrodynamics
复制标题
液晶流体动力学的计算机建模
DOI：
10.1109/tmag.2007.916029
复制
发表时间：
2008
影响因子：
2.1
通讯作者：
S. Day
中科院分区：
文献类型：
--
作者：
R. James;E. Willman;A. Fernández;S. Day
液晶是高度各向异性的材料，其可以通过包含关于其平均局部取向和有序度的信息的张量来描述。液晶器件的精确建模涉及考虑材料内以及液晶与包含单元的壁之间的弹性相互作用、由泊松方程支配的电场的影响、将电场与弹性变形联系起来的挠曲电性质、以及由纳维尔-斯托克斯方程支配的流动。所有这一切构成了一个高度非线性系统，涉及阶张量，势场，压力场和速度场。我们在这里提出了一个有限元解决方案，这个问题，足以在三维设备的研究。
Liquid crystals are highly anisotropic materials that can be described by a tensor which contains information on their average local orientation and the degree of ordering. The accurate modeling of liquid crystal devices, involves the consideration of the elastic interactions within the material, and between the liquid crystal and the walls of the containing cells, the influence of the electric fields governed by the Poisson equation, flexoelectric properties which link the electric fields and the elastic distortion, and flow, governed by the Navier-Stokes equations. All this constitutes a highly nonlinear system, involving the order tensor, the potential, pressure and velocity fields. We present here a finite element solution of this problem, adequate for the study of devices in three dimensions.