We present a fully discrete convergent finite difference scheme for the Q-tensor flow of liquid crystals based on the energy-stable semi-discrete scheme by Zhao, Yang, Gong, and Wang (Comput. Methods Appl. Mech. Engrg. 2017). We prove stability properties of the scheme and show convergence to weak solutions of the Q-tensor flow equations. We demonstrate the performance of the scheme in numerical simulations.

翻译：我们根据赵、杨、朴和王的能源稳定半分解计划(《2017年方法汇编》),为液晶的Q-10流提供了完全分散的集合有限差异计划,我们证明该计划具有稳定性,并显示出对Q-10流方程式的薄弱解决方案的趋同性。我们在数字模拟中展示了该计划的绩效。