A numerical method for solving the dynamic three-dimensional Ericksen-Leslie equations for nematic liquid crystals subject to a strong magnetic field

作者：Cruz Pedro A; Tome Murilo F; Stewart Iain W; McKee Sean^*

来源：Journal of Non-Newtonian Fluid Mechanics, 2010, 165(3-4): 143-157.

DOI：10.1016/j.jnnfm.2009.10.007

• Three-dimensional flow
• Ericksen-Leslie equations
• Nematic liquid crystal
• Finite difference
• Analytic solution

A finite difference technique, based on a projection method, is developed for solving the dynamic three-dimensional Ericksen-Leslie equations for nematic liquid crystals subject to a strong magnetic field. The governing equations in this situation are derived using primitive variables and are solved using the ideas behind the GENSMAC methodology (Tome and McKee [32]; Tome et al. [34]). The resulting numerical technique is then validated by comparing the numerical solution against an analytic solution for steady three-dimensional flow between two-parallel plates subject to a strong magnetic field. The validated code is then employed to solve channel flow for which there is no analytic solution.

• 出版日期2010-2