Lubrication corrections for lattice-Boltzmann simulations of particle suspensions

Nguyen, Nhan-Quyen; Ladd, Anthony J. C.

doi:10.1103/physreve.66.046708

Cited by 384 publications

(429 citation statements)

References 31 publications

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“…The additional stress P αβ required in the Navier-Stokes equation is again computed from the order parameter and its derivatives, and the divergence of this quantity provides a body force density applied to the LB fluid at each lattice site. Hydrodynamic interactions between the fluid and the colloidal particles are represented via the standard method of bounce-back on links [25] in the LB picture, while the LC surface anchoring condition (Eq. 6) is handled in the finite difference picture [20].…”

Section: Methodsmentioning

confidence: 99%

Large Colloids in Cholesteric Liquid Crystals

2015

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We describe a coarse-grained Landau-de Gennes model of liquid crystals (LCs) including hydrodynamics based on the Beris-Edwards equations. The model is employed to study the impact of large colloids on the long range LC defect structure in the cholesteric LC blue phases. 'Large' here means that the particle size is comparable to the cholesteric pitch, the length scale on which the LC order undergoes a helical twist. We investigate the case of a single particle, with either normal or degenerate planar anchoring, placed initially in an equilibrium blue phase LC. It is found that in some cases, well defined steady disclination structure emerges at the particle surface, while in other cases no clear steady state is reached in the simulations, and disclination reorganisation appears to proliferate through the bulk LC. These systems are of potential interest in the context of using LCs to template self-assembly of colloid structure, e.g., for opto-electronic devices. Computationally, we demonstrate a parallel approach using mixed message-passing and threaded model on graphical processing units allows effective and efficient progress for this problem.

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Section: Methodsmentioning

confidence: 99%

Large Colloids in Cholesteric Liquid Crystals

2015

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“…This method was pioneered by Ladd and colleagues and is mostly used for suspension flows [156][157][158][159]. The method has been applied to suspensions of spherical and non-spherical particles by various authors [160][161][162].…”

Section: Particle Suspensionsmentioning

confidence: 99%

“…To avoid redistributing fluid mass from lattice nodes being covered or uncovered by solids, one can allow interior fluid within closed surfaces. Its movement relaxes to the movement of the solid body on much shorter time scales than the characteristic hydrodynamic interaction [156,159,170].…”

Section: Particle Suspensionsmentioning

confidence: 99%

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Multiphase lattice Boltzmann simulations for porous media applications

et al. 2015

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Over the last two decades, lattice Boltzmann methods have become an increasingly popular tool to compute the flow in complex geometries such as porous media. In addition to single phase simulations allowing, for example, a precise quantification of the permeability of a porous sample, a number of extensions to the lattice Boltzmann method are available which allow to study multiphase and multicomponent flows on a pore scale level. In this article, we give an extensive overview on a number of these diffuse interface models and discuss their advantages and disadvantages. Furthermore, we shortly report on multiphase flows containing solid particles, as well as implementation details and optimization issues.

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“…Regardless, the LB formulation used in this paper tends to break down when fluid gaps are equal to the grid spacing because hydrodynamic force calculations become inaccurate. For problems in which resolving the coupled dynamics in the lubrication limit is deemed important, LB force calculations can be corrected and are available from Nguyen and Ladd [2002].…”

Section: Model Limitationsmentioning

confidence: 99%

Direct simulation of fluid‐solid mechanics in porous media using the discrete element and lattice‐Boltzmann methods

Boutt¹,

Cook²,

McPherson³

et al. 2007

J. Geophys. Res.

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[1] A detailed understanding of the coupling between fluid and solid mechanics is important for understanding many processes in Earth sciences. Numerical models are a popular means for exploring these processes, but most models do not adequately handle all aspects of this coupling. This paper presents the application of a micromechanically based fluid-solid coupling scheme, lattice-Boltzmann discrete element method (LBDEM), for porous media simulation. The LBDEM approach couples the lattice-Boltzmann method for fluid mechanics and a discrete element method for solid mechanics. At the heart of this coupling is a previously developed boundary condition that has never been applied to coupled fluid-solid mechanics in porous media. Quantitative comparisons of model results to a one-dimensional analytical solution for fluid flow in a slightly deformable medium indicate a good match to the predicted continuum-scale fluid diffusion-like profile. Coupling of the numerical formulation is demonstrated through simulation of porous medium consolidation with the model capturing poroelastic behavior, such as the coupling between applied stress and fluid pressure rise. Finally, the LBDEM model is used to simulate the genesis and propagation of natural hydraulic fractures. The model provides insight into the relationship between fluid flow and propagation of fractures in strongly coupled systems. The LBDEM model captures the dominant dynamics of fluid-solid micromechanics of hydraulic fracturing and classes of problems that involve strongly coupled fluid-solid behavior.

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Lubrication corrections for lattice-Boltzmann simulations of particle suspensions

Cited by 384 publications

References 31 publications

Large Colloids in Cholesteric Liquid Crystals

Large Colloids in Cholesteric Liquid Crystals

Multiphase lattice Boltzmann simulations for porous media applications

Direct simulation of fluid‐solid mechanics in porous media using the discrete element and lattice‐Boltzmann methods

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