A BDF2 Energy-Stable Scheme for a General Tensor-Based Model of Liquid Crystals

A BDF2 Energy-Stable Scheme for a General Tensor-Based Model of Liquid Crystals

Year:    2020

East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.291018.070619

East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 1 : pp. 57–71

Published online:    2020-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:   

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