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

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

doi:10.1103/physreve.82.041703

Cited by 7 publications

(4 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In each of these, the bistability pertains between one state with a continuous director arrangement and a second containing orientational defects that are pinned in some way by the substrate inhomogeneity. This suggests that the key length scale for achieving bistability here is the size and periodicity of the patterning, a conjecture which is supported by the success of mesoscopic modeling approaches in both accessing the bistable states and relating, semiquantitatively, switching fields to geometrical parameters [7,8].…”

Section: Introductionmentioning

confidence: 79%

Competing alignments of nematic liquid crystals on square-patterned substrates

2012

Self Cite

View full text Add to dashboard Cite

A theoretical analysis is presented of a nematic liquid crystal confined between substrates patterned with squares that promote vertical and planar alignment. Two approaches are used to elucidate the behavior across a wide range of length scales: Monte Carlo simulation of hard particles and Frank-Oseen continuum theory. Both approaches predict bistable degenerate azimuthal alignment in the bulk along the edges of the squares; the continuum calculation additionally reveals the possibility of an anchoring transition to diagonal alignment if the polar anchoring energy associated with the pattern is sufficiently weak. Unlike the striped systems previously analyzed, the Monte Carlo simulations suggest that there is no "bridging" transition for sufficiently thin cells. The extent to which these geometrically patterned systems resemble topographically patterned substrates, such as square wells, is also discussed.

show abstract

Section: Introductionmentioning

confidence: 79%

Competing alignments of nematic liquid crystals on square-patterned substrates

2012

Self Cite

View full text Add to dashboard Cite

show abstract

“…The effectiveness of the improved SPH in modeling incompressible fluid flows was previously demonstrated in a number of applications [12,13] . Here, in order to validate its effectiveness in dealing with the movement and the deformation of elastic solid objects, the head-on collision of two rubber rings is modeled firstly.…”

Section: Head-on Collision Of Two Rubber Ringsmentioning

confidence: 93%

Numerical simulation of hydro-elastic problems with smoothed particle hydrodynamics method

Liu

Shao

2013

J Hydrodyn

View full text Add to dashboard Cite

Violent free surface flows with strong fluid-solid interactions can produce a tremendous pressure load on structures, resulting in elastic and even plastic deformations. Modeling hydro-elastic problems with structure deformations and a free surface breakup is difficult by using routine numerical methods. This paper presents an improved Smoothed Particle Hydrodynamics (SPH) method for modeling hydro-elastic problems. The fluid particles are used to model the free surface flows governed by Navier-Stokes equations, and the solid particles are used to model the dynamic movement and deformation of the elastic solid objects. The improved SPH method employs a Kernel Gradient Correction (KGC) technique to improve the computational accuracy and a Fluid-Solid Interface Treatment (FSIT) algorithm with the interface fluid and solid particles being treated as the virtual particles against their counterparts and a soft repulsive force to prevent the penetration and a corrective density approximation scheme to remove the numerical oscillations. Three typical numerical examples are simulated, including a head-on collision of two rubber rings, the dam break with an elastic gate and the water impact onto a forefront elastic plate. The obtained SPH results agree well with experimental observations and numerical results from other sources.

show abstract

“…The competing numerical methods used to approach the hydrodynamic part of the problems have been mainly the discretization of the generalized continuum Navier-Stokes equation [ [22,[32][33][34][35][36]. Alternative methods include smoothed particle hydrodynamics, radial basis function collocation methods, and other hybrid or semianalytic approaches [26,[37][38][39][40].…”

Section: A Backgroundmentioning

confidence: 99%

Backflow-mediated domain switching in nematic liquid crystals

Turk

Svenšek

2014

Phys. Rev. E

View full text Add to dashboard Cite

We study the dynamics of the nematic liquid crystal kickback effect upon removal of a primary electric field and its amplification by a perpendicular secondary electric field resulting in the formation of domains with a reverse director orientation. Using computational fluid dynamics, we show that the domain formation is a robust phenomenon that takes place also in the complex case of multiple irregular random Freedericksz domains in three dimension as they appear in a realistic experimental situation. We propose domain switching by kickback amplification as a tool for self-insertion of shell-like inhomogeneities into an otherwise perfectly uniform director field configuration.

show abstract

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

Cited by 7 publications

References 42 publications

Competing alignments of nematic liquid crystals on square-patterned substrates

Competing alignments of nematic liquid crystals on square-patterned substrates

Numerical simulation of hydro-elastic problems with smoothed particle hydrodynamics method

Backflow-mediated domain switching in nematic liquid crystals

Contact Info

Product

Resources

About