A Fully Discrete, Decoupled Scheme with Different Time Steps for Approximating Nematic Liquid Crystal Flow
Year: 2021
Author: Ting Li, Pengzhan Huang, Yinnian He
International Journal of Numerical Analysis and Modeling, Vol. 18 (2021), Iss. 6 : pp. 811–833
Abstract
This paper designs a decoupled scheme for approximating nematic liquid crystal flow based on a fully discrete mixed finite element method, which allows different time steps for different physical fields. Besides, error estimates for velocity and macroscopic molecular orientation of the nematic liquid crystal flow are shown. Finally, numerical tests are provided to demonstrate efficiency of the scheme. It is found the presented scheme can save lots of computational time compared with common decoupled scheme.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2021-IJNAM-19951
International Journal of Numerical Analysis and Modeling, Vol. 18 (2021), Iss. 6 : pp. 811–833
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Nematic liquid crystal flow decoupled scheme different time steps error estimates.