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Volume 9, Issue 4
Numerical Simulations of Hydrodynamics of Nematic Liquid Crystals: Effects of Kinematic Transports

Shupeng Zhang, Chun Liu & Hui Zhang

DOI: 10.4208/cicp.160110.290610a

Commun. Comput. Phys., 9 (2011), pp. 974-993.

Published online: 2011-09

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  • Abstract

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.

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@Article{CiCP-9-974, author = {Shupeng Zhang, Chun Liu and Hui Zhang}, title = {Numerical Simulations of Hydrodynamics of Nematic Liquid Crystals: Effects of Kinematic Transports}, journal = {Communications in Computational Physics}, year = {2011}, volume = {9}, number = {4}, pages = {974--993}, abstract = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.160110.290610a}, url = {http://global-sci.org/intro/article_detail/cicp/7531.html} }
TY - JOUR T1 - Numerical Simulations of Hydrodynamics of Nematic Liquid Crystals: Effects of Kinematic Transports AU - Shupeng Zhang, Chun Liu & Hui Zhang JO - Communications in Computational Physics VL - 4 SP - 974 EP - 993 PY - 2011 DA - 2011/09 SN - 9 DO - http://doi.org/10.4208/cicp.160110.290610a UR - https://global-sci.org/intro/article_detail/cicp/7531.html KW - AB -

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.

Shupeng Zhang, Chun Liu and Hui Zhang. (2011). Numerical Simulations of Hydrodynamics of Nematic Liquid Crystals: Effects of Kinematic Transports. Communications in Computational Physics. 9 (4). 974-993. doi:10.4208/cicp.160110.290610a
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