Numerical Simulations of Hydrodynamics of Nematic Liquid Crystals:Effects of Kinematic Transports  

作　　者：Shupeng Zhang Chun Liu Hui Zhang 

机构地区：[1]School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China [2]Department of Mathematics,Pennsylvania State University,University Park,PA 18601,USA.

出　　处：《Communications in Computational Physics》2011年第4期974-993,共20页计算物理通讯（英文）

基　　金：supported by NSF of China 10871028.Chun Liu is partially supported by NSF Grants;supported by NSF of China 10871028 and state key basic research project of China 2005CB321704.

摘　　要：In this paper,we investigate the effects of kinematic transports on the nematic liquid crystal system numerically and theoretically.The model we used is a"1+2"elastic continuum model simplified from the Ericksen-Leslie system.The numerical experiments are carried out by using a Legendre-Galerkin spectral method which can preserve the energy law in the discrete form.Based on this highly accurate numerical approach we find some interesting and important relationships between the kinematic transports and the characteristics of the flow.We make some analysis to explain these results.Several significant scaling properties are also verified by our simulations.

关 键 词：Nematic liquid crystals kinematic transports Legendre-Galerkin spectral method TUMBLING flow-aligning 

分 类 号：TG1[金属学及工艺—金属学]