Meng Zhaoxia, Liu Meng, Jia Hongen
Department of Energy and Power Engineering, Shanxi Energy Institute, Taiyuan 030024, China.
School of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China.
Entropy (Basel). 2022 Dec 18;24(12):1844. doi: 10.3390/e24121844.
In this paper, a new decoupling method is proposed to solve a nematic liquid crystal flow with stretching effect. In the finite element discrete framework, the director vector is calculated by introducing a new auxiliary variable w, and the velocity vector and scalar pressure are decoupled by a nonincremental pressure-correction projection method. Then, the energy dissipation law and unconditional energy stability of the resulting system are given. Finally, some numerical examples are given to verify the effects of various parameters on the singularity annihilation, stability and accuracy in space and time.
本文提出了一种新的解耦方法来求解具有拉伸效应的向列型液晶流。在有限元离散框架下，通过引入一个新的辅助变量(w)来计算指向矢向量，并采用非增量压力校正投影方法对速度向量和标量压力进行解耦。然后，给出了所得系统的能量耗散定律和无条件能量稳定性。最后，给出了一些数值例子来验证各种参数对奇点消除、时空稳定性和精度的影响。
