Fast algorithms for liquid crystal modelling
Fast algorithms for liquid crystal modelling
We review different modeling and computational methods to determine the Q-tensor representation of the director field alignment in the absence of defects. Under this condition it is possible to represent the reorientation dynamics of the director field as the motion of the Q-tensor over an invariant manifold. This new representation allows us to develop very accurate codes for the alignment that are orders of magnitude faster than an equivalent full Q-tensor code. We illustrate this principle by discussing the case of a pure liquid crystal with or without flow and the case of a liquid crystal doped with fixed metallic nano-inclusions.
liquid crystals, mathematical modeling of alignment, computational meth
1-15
Bennett, Thomas P.
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Murugesan, Yogesh K.
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Daly, Keith R.
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De Matteis, Giovanni
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D'Alessandro, Giampaolo
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7 October 2014
Bennett, Thomas P.
149b33f3-d18f-4a77-bee1-7575951ac8c6
Murugesan, Yogesh K.
9efd86c3-4cb9-4390-93fe-2a8362f2caf2
Daly, Keith R.
64f85c2e-2562-44df-9cb8-1be7fbc7e74c
De Matteis, Giovanni
cd8b7fa3-e440-4aea-bdf5-c63aefcfd12f
D'Alessandro, Giampaolo
bad097e1-9506-4b6e-aa56-3e67a526e83b
Bennett, Thomas P., Murugesan, Yogesh K., Daly, Keith R., De Matteis, Giovanni and D'Alessandro, Giampaolo
(2014)
Fast algorithms for liquid crystal modelling.
[in special issue: Liquid Crystals XVIII]
Proceedings of SPIE, 9182, .
(doi:10.1117/12.2059525).
Abstract
We review different modeling and computational methods to determine the Q-tensor representation of the director field alignment in the absence of defects. Under this condition it is possible to represent the reorientation dynamics of the director field as the motion of the Q-tensor over an invariant manifold. This new representation allows us to develop very accurate codes for the alignment that are orders of magnitude faster than an equivalent full Q-tensor code. We illustrate this principle by discussing the case of a pure liquid crystal with or without flow and the case of a liquid crystal doped with fixed metallic nano-inclusions.
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Published date: 7 October 2014
Keywords:
liquid crystals, mathematical modeling of alignment, computational meth
Organisations:
Applied Mathematics
Identifiers
Local EPrints ID: 370098
URI: http://eprints.soton.ac.uk/id/eprint/370098
ISSN: 0277-786X
PURE UUID: 53587251-0842-495d-8e56-6fba22f1af97
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Date deposited: 20 Oct 2014 12:27
Last modified: 15 Mar 2024 02:48
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Contributors
Author:
Thomas P. Bennett
Author:
Yogesh K. Murugesan
Author:
Keith R. Daly
Author:
Giovanni De Matteis
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