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Volume 10, Issue 1
A BDF2 Energy-Stable Scheme for a General Tensor-Based Model of Liquid Crystals

Guanghua Ji

DOI: 10.4208/eajam.291018.070619

East Asian J. Appl. Math., 10 (2020), pp. 57-71.

Published online: 2020-01

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  • Abstract

Following the scalar auxiliary variable strategy, a linear semi-discrete scheme in time for the hydrodynamic Q-tensor model of liquid crystal polymers is developed. It is shown that the scheme is unconditionally energy stable and uniquely solvable. Numerical simulations show the decreasing energy and the second-order convergence.

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@Article{EAJAM-10-57, author = {Guanghua Ji}, title = {A BDF2 Energy-Stable Scheme for a General Tensor-Based Model of Liquid Crystals}, journal = {East Asian Journal on Applied Mathematics}, year = {2020}, volume = {10}, number = {1}, pages = {57--71}, abstract = {

Following the scalar auxiliary variable strategy, a linear semi-discrete scheme in time for the hydrodynamic Q-tensor model of liquid crystal polymers is developed. It is shown that the scheme is unconditionally energy stable and uniquely solvable. Numerical simulations show the decreasing energy and the second-order convergence.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.291018.070619}, url = {http://global-sci.org/intro/article_detail/eajam/13578.html} }
TY - JOUR T1 - A BDF2 Energy-Stable Scheme for a General Tensor-Based Model of Liquid Crystals AU - Guanghua Ji JO - East Asian Journal on Applied Mathematics VL - 1 SP - 57 EP - 71 PY - 2020 DA - 2020/01 SN - 10 DO - http://doi.org/10.4208/eajam.291018.070619 UR - https://global-sci.org/intro/article_detail/eajam/13578.html KW - AB -

Following the scalar auxiliary variable strategy, a linear semi-discrete scheme in time for the hydrodynamic Q-tensor model of liquid crystal polymers is developed. It is shown that the scheme is unconditionally energy stable and uniquely solvable. Numerical simulations show the decreasing energy and the second-order convergence.

Guanghua Ji. (2020). A BDF2 Energy-Stable Scheme for a General Tensor-Based Model of Liquid Crystals. East Asian Journal on Applied Mathematics. 10 (1). 57-71. doi:10.4208/eajam.291018.070619
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