Mesh-Free Simulation of Complex LCD Geometries

Yakutovich, M.V.; Newton, Christopher J. P.; Cleaver, Douglas J.

doi:10.1080/15421400902854422

Cited by 4 publications

(4 citation statements)

References 12 publications

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“…We have previously reported MSPH simulations of static configurations of the PABN device [40]. Here we extend these by investigating the PABN T -P switching behaviour.…”

Section: Pabn Switching Behaviourmentioning

confidence: 75%

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

Yakutovich

Care²,

Newton³

et al. 2010

Phys. Rev. E

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We present a generalization of the modified smooth particle hydrodynamics simulation technique capable of simulating static and dynamic liquid crystalline behavior. This generalization 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 Fréedericksz 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 three-dimensional simulation of the switching dynamics of the post aligned bistable nematic device.

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“…We have previously reported MSPH simulations of static configurations of the PABN device [40]. Here we extend these by investigating the PABN T -P switching behaviour.…”

Section: Pabn Switching Behaviourmentioning

confidence: 75%

“…Here we extend these by investigating the PABN T -P switching behaviour. In this, we use an identical geometry setup to that described in [40]. Periodic boundary conditions are imposed in the x and y directions, the xy repeat unit representing a single post.…”

Section: Pabn Switching Behaviourmentioning

confidence: 99%

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

Yakutovich

Care²,

Newton³

et al. 2010

Phys. Rev. E

Self Cite

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“…SPH has proved to be a useful method for modelling many different classes of industrial applications. For example, Cleary et al (2007) discusses the use of SPH in die casting, resin transfer moulding, pyrometallurgical processes with reactive solids, slurry flow in sag mills and the mixing of large particulate solids, Yakutovich et. al.…”

Section: Introductionmentioning

confidence: 99%

Effect of geometry and fill level on the transport and mixing behaviour of a co-rotating twin screw extruder

Robinson

Cleary

2018

Comp. Part. Mech.

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The transport and mixing properties of a co-rotating twin screw extruder with both screw elements and kneading blocks are explored using the Smoothed Particle Hydrodynamics (SPH) method. The use of a Lagrangian method enables simulation of extruders partially or fully filled with fluid and is not limited by problems associated with extreme mesh deformation due to the opposite rotation of the impellors or the small gaps between them.The cross-channel and axial fluid transport and mixing in the screw elements and kneading blocks are analysed. The effect of parametric variations in both impeller elements on the nature of the fluid flow and the mixing are explored; specifically the effects of varying the screw pitch (positively correlated to mixing rate), kneading block stagger angle (the mixing rate peaks at a block angle of 30 degrees) and gap size between the rotating elements (positively correlated to mixing rate). Flow and mixing behaviour is also investigated for partially filled cases, with a fill level of 50% producing the highest mixing rates for the screw elements. The presence of fluid free surfaces are shown as generally positive for mixing. We demonstrate significantly improved mixing when the orientation handedness of the screw and kneading blocks leads to concentration of fluid in the kneading elements.

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“…They numerically reproduce the diagonal and rotated states in a 2D Landau-de Gennes (LdG) framework and the numerical modelling is in good agreement with experiments. The work June 17, 2016 Liquid Crystals Draft5 is [15] has been vigorously followed up in a batch of papers [16][17][18] where authors consider other polygonal geometries with mixed boundary conditions (planar and homeotropic) with a view to control pattern formation by manipulating geometry and boundary treatments and greater control promises new applications.…”

Section: Introductionmentioning

confidence: 99%

Multistable nematic wells: modelling perspectives, recent results and new directions

Majumdar

Lewis

2016

Liquid Crystals

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This review article is a consolidated but not exhaustive account of recent modelling and numerical work on nematic-filled square or cuboid shaped wells with planar degenerate boundary conditions. This seemingly simple geometry can be modelled with a simplistic Oseen-Frank approach or a more sophisticated twodimensional and three-dimensional Landau-de Gennes approach. We discuss these approaches, reconcile the findings and in doing so, elucidate the complex interplay between material properties, temperature, geometry and boundary conditions in both equilibrium and non-equilibrium phenomena. We largely focus on static equilibria with some discussion on metastable or transient states of experimental relevance.

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Mesh-Free Simulation of Complex LCD Geometries

Cited by 4 publications

References 12 publications

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

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

Effect of geometry and fill level on the transport and mixing behaviour of a co-rotating twin screw extruder

Multistable nematic wells: modelling perspectives, recent results and new directions

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