1999
DOI: 10.1017/s0022112099004401
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Lattice-Boltzmann simulations of particles in non-zero-Reynolds-number flows

Abstract: A lattice-Boltzmann method has been developed to simulate suspensions of both spherical and non-spherical particles in finite-Reynolds-number flows. The results for sedimentation of a single elliptical particle are shown to be in excellent agreement with the results of Huang, Hu & Joseph (1998) who used a finite-element method. Sedimentation of two-dimensional circular and rectangular particles in a two-dimensional channel and three-dimensional spherical particles in a tube with square cross-section is simulat… Show more

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Cited by 166 publications
(77 citation statements)
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“…This approach has also been adopted to study particulate flows. Such work can be found in Ladd [20,21], Behrend [22], Aidun et al [23], and Qi [24]. The interactions between fluid and particle are implemented through the bounce back rule in LBM.…”
Section: Introductionmentioning
confidence: 99%
“…This approach has also been adopted to study particulate flows. Such work can be found in Ladd [20,21], Behrend [22], Aidun et al [23], and Qi [24]. The interactions between fluid and particle are implemented through the bounce back rule in LBM.…”
Section: Introductionmentioning
confidence: 99%
“…Over the years, the lattice Boltzmann method (LBM) has been developed to an alternative and efficient tool for simulating particulate flow due to its capability of treating moving boundary [13]- [16]. As a discrete form of Boltzmann equation, lattice Boltzmann equation can recover to Navier-Stokes (N-S) equations using multi-scaling analysis.…”
Section: Methodsmentioning
confidence: 99%
“…uA-G indicate the fluid velocity at nodes A-G. (b) P2 locates on plane OABC, and bilinear interpolation is applied as (15) Note that the boundary node P2 may locate on other adjacent planes OAFG, OCDG and thus three situations must be considered in applications. (16) where ∆ indicates distance CP3 and ' C indicates the node obtained by advancing node C a lattice in OC direction.…”
Section: Methodsmentioning
confidence: 99%
“…The kinetic nature of the lattice Boltzmann method enables it to simulate complex geometry such as fluid flow in porous media (Ladd, 1994;Ladd and Verberg, 2001;Qi, 1999;Ding and Aidun, 2000;Qian, 1990;Qian et al, 1992;Chen and Doolen, 1998;Guo et al, 2002;He and Luo, 1997a,b). In the lattice Boltzmann (LB) method, fluid particles reside on the lattice nodes and move to their nearest neighbors along the links with unit spacing in each unit time step.…”
Section: The Lattice Boltzmann Methodsmentioning
confidence: 99%