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

Guanghua Ji

10.4208/eajam.291018.070619

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

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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.

  • History

Published online: 2020-01

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