TY - JOUR
T1 - Numerical simulations of hydrodynamics of nematic liquid crystals
T2 - Effects of kinematic transports
AU - Zhang, Shupeng
AU - Liu, Chun
AU - Zhang, Hui
PY - 2011/4
Y1 - 2011/4
N2 - 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.
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.
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U2 - 10.4208/cicp.160110.290610a
DO - 10.4208/cicp.160110.290610a
M3 - Article
AN - SCOPUS:79551526181
SN - 1815-2406
VL - 9
SP - 974
EP - 993
JO - Communications in Computational Physics
JF - Communications in Computational Physics
IS - 4
ER -