Mesh-free modelling of liquid crystals using modified smoothed particle hydrodynamics

YAKUTOVICH, Mikhail, CARE, Chris, NEWTON, CJP and CLEAVER, Doug (2010). Mesh-free modelling of liquid crystals using modified smoothed particle hydrodynamics. Physical Review E (PRE), 82 (4), 041703.

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Abstract

We present a generalisation of the Modified Smooth Particle Hydrodynamics simulation technique capable of simulating static and dynamic liquid crystalline behaviour. This generalisation is then implemented in the context of the Qian-Sheng description of nematodynamics. To test the method, we first use it to simulate switching in both a Freedericksz setup and a chiral hybrid aligned nematic cell. In both cases, the results obtained give excellent agreement with previously published results. We then apply the technique in a 3-dimensional simulation of the switching dynamics of the post aligned bistable nematic device.

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