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Published on: October 31, 2019
A Finite Element Approximation for Nematic Liquid Crystal Flow with Stretching Effect Based on Nonincremental
Zhaoxia Meng1, Meng Liu2, Hongen Jia2
1Department of Energy and Power Engineering, Shanxi Energy Institute, Taiyuan 030024, China.
Abstract:
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.
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