Lattice Boltzmann Simulations of Liquid Crystal Hydrodynamics

Abstract

We describe a lattice Boltzmann algorithm to simulate liquid crystal hydrodynamics. The equations of motion are written in terms of a tensor order parameter. This allows both the isotropic and the nematic phases to be considered. Backflow effects and the hydrodynamics of topological defects are naturally included in the simulations, as are viscoelastic properties such as shear-thinning and shear-banding.

14 pages, 5 figures, Revtex

Cited by in corpus (73)

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• Tunable structure and dynamics of active liquid crystals
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• Vorticity, Defects and Correlations in Active Turbulence
• Energy Dissipation and Regularity for a Coupled Navier-Stokes and Q-Tensor System
• Interplay of Structure, Elasticity and Dynamics in Actin-Based Nematic Materials
• Machine learning active-nematic hydrodynamics
• Active turbulence in active nematics
• Lattice Boltzmann Methods and Active Fluids
• Hybrid lattice Boltzmann model for binary fluid mixtures
• Rotation and propulsion in 3d active chiral droplets
• Self-assembly of colloid-cholesteric composites provides a possible route to switchable optical materials
• Cross-talk between topological defects in different fields revealed by nematic microfluidics
• Numerical calculations of the phase diagram of cubic blue phases in cholesteric liquid crystals
• Permeative flows in cholesteric liquid crystals
• Hydrodynamics of domain growth in nematic liquid crystals
• Domain growth in cholesteric blue phases: hybrid lattice Boltzmann simulations
• Hybrid Lattice Boltzmann/Finite Difference simulations of viscoelastic multicomponent flows in confined geometries
• Flexoelectric surface switching of bistable nematic devices
• Flow of deformable droplets: discontinuous shear thinning and velocity oscillations
• Rheology of cholesteric blue phases
• Fast, scalable, and interactive software for Landau-de Gennes numerical modeling of nematic topological defects
• Elastic response of a nematic liquid crystal to an immersed nanowire
• Sculpting stable structures in pure liquids
• Multiparticle Collision Dynamics for Tensorial Nematodynamics
• Numerical Method of Lines for the Relaxational Dynamics of Nematic Liquid Crystals
• Microfluidic Flow of Cholesteric Liquid Crystals
• Multi-scale control of active emulsion dynamics
• A generalised lattice Boltzmann algorithm for the flow of a nematic liquid crystal with variable order parameter
• Rheology of active polar emulsions: from linear to unidirectional and unviscid flow, and intermittent viscosity
• Effective pair interactions between colloidal particles at a nematic-isotropic interface
• Rheology of distorted nematic liquid crystals
• Mapping molecular models to continuum theories for partially miscible fluids
• Detection and tracking of defects in the gyroid mesophase
• Emergence of rheological properties in lattice Boltzmann simulations of gyroid mesophases
• Cholesteric shells: two-dimensional blue fog and finite quasicrystals
• Driven active and passive nematics
• Morphodynamics of Active Nematic Fluid Surfaces
• Rheology of Cubic Blue Phases
• Dynamic coupling between a multistable defect pattern and flow in nematic liquid crystals confined in a porous medium
• Nonstationary models for liquid crystals: A fresh mathematical perspective
• Soft channel formation and symmetry breaking in exotic active emulsions
• Flowing Liquid Crystal Simulating the Schwarzschild Metric
• Channel Flow of a Tensorial Shear-Thinning Maxwell Model: Lattice Boltzmann Simulations
• Tuneable defect-curvature coupling and topological transitions in active shells
• Interfacial motion in flexo- and order-electric switching between nematic filled states
• Solution landscapes in nematic microfluidics
• Multicomponent Flow on Curved Surfaces: A Vielbein Lattice Boltzmann Approach
• Catapulting of topological defects through elasticity bands in active nematics
• Chirality, anisotropic viscosity and elastic anisotropy in three-dimensional active nematic turbulence
• Thin film models for active gels
• Field-controlled columnar and planar patterning of cholesteric colloids
• Activity induced isotropic-polar transition in active liquid crystals
• Switching hydrodynamics in multi-domain, twisted nematic, liquid crystal devices
• Uncovering novel phase transitions in dense dry polar active fluids using a lattice Boltzmann method
• Topological Phases and Curvature-Driven Pattern Formation in Cholesteric Shells
• Mixtures of blue phase liquid crystal with simple liquids: elastic emulsions and cubic fluid cylinders
• Confined Cubic Blue Phases under Shear
• Frank-Read Mechanism in Nematic Liquid Crystals
• Machine Eye for Defects: Machine Learning-Based Solution to Identify and Characterize Topological Defects in Textured Images of Nematic Materials
• Curvature-mediated Programming of Liquid Crystal Microflows
• Modelling nematohydrodynamics in liquid crystal devices
• Strict Physicality of Global Weak Solutions of a Navier-Stokes Q-tensor System with Singular Potential
• Switching dynamics in cholesteric liquid crystal emulsions
• Modeling and Computation of Liquid Crystals
• Lattice Boltzmann modeling of cholesteric liquid crystal droplets under an oscillatory electric field
• Lattice Boltzmann simulations of self-propelling chiral active droplets
• Motility and self propulsion of active droplets
• Simulations of Three-dimensional Nematic Guidance of Microswimmers
• Nonlocal tensor order parameter of the deformed state of liquid crystals
• Formation of a fast "lane" for positional transition in a microparticle-suspended nematic liquid crystal cell