| 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. |
