Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 2. Numerical results

Ladd, Anthony J. C.

doi:10.1017/s0022112094001783

Cited by 1,092 publications

(812 citation statements)

References 28 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%

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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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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%

Multiphase lattice Boltzmann simulations for porous media applications

et al. 2015

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“…However, a finite slip velocity at the stationary wall exists [22,19] and the accuracy for the flow field is thus degraded due to the inaccuracy of the boundary conditions [11]. In simulating suspension flows using the LBE method, Ladd placed the solid walls in the middle between the lattice nodes [21]. This is referred to as bounce-back on the link (BBL).…”

Section: (Xi + E a Andu T + St)-f A (Xi T) = --[F A (X It T) -F A Eq) mentioning

confidence: 99%

An Accurate Curved Boundary Treatment in the Lattice Boltzmann Method

Mei

Luo

Shyy

1999

Journal of Computational Physics

494

101

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“…In the fluctuating hydrodynamics approach, the nanoparticle motion incorporates both the Brownian motion and the effect of hydrodynamic force acting on its surface imparted from the surrounding fluid. Over the years, many numerical simulation schemes, such as the finite volume method, 1, 2 the lattice Boltzmann method (LBM), [3][4][5][6][7][8] and the stochastic immersed boundary method, 9 have been developed to investigate the Brownian motion of a particle using fluctuating hydrodynamics. A coarse-graining methodology has been developed to bridge molecular dynamics and fluctuating hydrodynamics simulations.…”

Section: Introductionmentioning

confidence: 99%

Generalized Langevin dynamics of a nanoparticle using a finite element approach: Thermostating with correlated noise

Batra

Swaminathan

Ayyaswamy

et al. 2011

The Journal of Chemical Physics

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A direct numerical simulation (DNS) procedure is employed to study the thermal motion of a nanoparticle in an incompressible Newtonian stationary fluid medium with the generalized Langevin approach. We consider both the Markovian (white noise) and non-Markovian (Ornstein-Uhlenbeck noise and Mittag-Leffler noise) processes. Initial locations of the particle are at various distances from the bounding wall to delineate wall effects. At thermal equilibrium, the numerical results are validated by comparing the calculated translational and rotational temperatures of the particle with those obtained from the equipartition theorem. The nature of the hydrodynamic interactions is verified by comparing the velocity autocorrelation functions and mean square displacements with analytical results. Numerical predictions of wall interactions with the particle in terms of mean square displacements are compared with analytical results. In the non-Markovian Langevin approach, an appropriate choice of colored noise is required to satisfy the power-law decay in the velocity autocorrelation function at long times. The results obtained by using non-Markovian Mittag-Leffler noise simultaneously satisfy the equipartition theorem and the long-time behavior of the hydrodynamic correlations for a range of memory correlation times. The Ornstein-Uhlenbeck process does not provide the appropriate hydrodynamic correlations. Comparing our DNS results to the solution of an one-dimensional generalized Langevin equation, it is observed that where the thermostat adheres to the equipartition theorem, the characteristic memory time in the noise is consistent with the inherent time scale of the memory kernel. The performance of the thermostat with respect to equilibrium and dynamic properties for various noise schemes is discussed.

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Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 2. Numerical results

Cited by 1,092 publications

References 28 publications

Multiphase lattice Boltzmann simulations for porous media applications

Multiphase lattice Boltzmann simulations for porous media applications

An Accurate Curved Boundary Treatment in the Lattice Boltzmann Method

Generalized Langevin dynamics of a nanoparticle using a finite element approach: Thermostating with correlated noise

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