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Volume 18, Issue 6
A Fully Discrete, Decoupled Scheme with Different Time Steps for Approximating Nematic Liquid Crystal Flow

Ting Li, Pengzhan Huang & Yinnian He

Int. J. Numer. Anal. Mod., 18 (2021), pp. 811-833.

Published online: 2021-11

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  • 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.

  • Keywords

Nematic liquid crystal flow, decoupled scheme, different time steps, error estimates.

  • AMS Subject Headings

65M60, 76A15, 76D05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-18-811, author = {Li , TingHuang , Pengzhan and He , Yinnian}, title = {A Fully Discrete, Decoupled Scheme with Different Time Steps for Approximating Nematic Liquid Crystal Flow}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2021}, volume = {18}, number = {6}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/19951.html} }
TY - JOUR T1 - A Fully Discrete, Decoupled Scheme with Different Time Steps for Approximating Nematic Liquid Crystal Flow AU - Li , Ting AU - Huang , Pengzhan AU - He , Yinnian JO - International Journal of Numerical Analysis and Modeling VL - 6 SP - 811 EP - 833 PY - 2021 DA - 2021/11 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/19951.html KW - Nematic liquid crystal flow, decoupled scheme, different time steps, error estimates. AB -

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.

Ting Li, Pengzhan Huang & Yinnian He. (2021). A Fully Discrete, Decoupled Scheme with Different Time Steps for Approximating Nematic Liquid Crystal Flow. International Journal of Numerical Analysis and Modeling. 18 (6). 811-833. doi:
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