Abstract
We simulate nematic liquid crystal hydrodynamics by a lattice Boltzmann algorithm. The equations of motion are written in terms of a tensor order parameter. The distribution function is introduced to describe the dynamics of the order parameter. The simulation results of shear flow shows that the nematic order parameter increases, as parameter in the stress tensor is increased. There is an analytical solution for the angle between the direction of flow and the director. The agreement between simulation result and analytical solution is excellent. Although the original LB model is unstable, the FDLBM improves the numerical stability.
