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Ladd, Anthony J. C.; Verberg, Rolf

doi:10.1023/a:1010414013942

Cited by 1,038 publications

(487 citation statements)

References 117 publications

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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%

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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Section: Particle Suspensionsmentioning

confidence: 99%

Multiphase lattice Boltzmann simulations for porous media applications

et al. 2015

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“…For simplicity, hydrodynamic interactions between particles [15][16][17][18][19][20][21][22][23] are neglected in our simulation. The motion of a particle with mass m is given by…”

Section: Modelmentioning

confidence: 99%

Effect of container shape and walls on solidification of Brownian particles in a narrow system

et al. 2014

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We carry out Brownian dynamics simulations and study the ordering of particles under a uniform external force in a narrow system. In our previous studies [M. Sato et al., Phys. Rev. E 87, 032403 (2013); J. Phys. Soc. Jpn. 82, 084804 (2013)], we showed that the ordering of particles depends on the direction of the external force. In the studies, however, the system size and the number of particles are small, so the behaviors we observed corresponds to the motions in the initial stage of crystallization. In this paper, using a longer container and more particles, we investigate how solidification in a narrow system proceeds. We also study the effect of the shape of simulation box on the ordering of particles. When we use a rhomboid as a simulation box, the ratio of the particles with the face-centered cubic structure to those with the hexagonal close-packed structure is larger than that in a cuboid system.

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“…The lattice Boltzmann (LB) method on the other hand is numerically efficient and intrinsically contains hydrodynamic interactions. Ladd and Verberg give an overview over the LB method and describe how to include stress fluctuations [14]. Adhikari et al add noise to their model by introducing a noise term for every lattice velocity and node [15].…”

Section: Introductionmentioning

confidence: 99%

Simulation of claylike colloids

et al. 2005

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Abstract. We investigate properties of dense suspensions and sediments of small spherical silt particles by means of a combined Molecular Dynamics (MD) and Stochastic Rotation Dynamics (SRD) simulation. We include van der Waals and effective electrostatic interactions between the colloidal particles, as well as Brownian motion and hydrodynamic interactions which are calculated in the SRD-part. We present the simulation technique and first results. We have measured velocity distributions, diffusion coefficients, sedimentation velocity, spatial correlation functions and we have explored the phase diagram depending on the parameters of the potentials and on the volume fraction.

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Untitled

Cited by 1,038 publications

References 117 publications

Multiphase lattice Boltzmann simulations for porous media applications

Multiphase lattice Boltzmann simulations for porous media applications

Effect of container shape and walls on solidification of Brownian particles in a narrow system

Simulation of claylike colloids

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