Lattice-Boltzmann method combined with smoothed-profile method for particulate suspensions

Jafari, Saeed; Yamamoto, Ryōichi; Rahnama, Mohammad

doi:10.1103/physreve.83.026702

Cited by 111 publications

(62 citation statements)

References 27 publications

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“…The smoothed profile method was originally proposed by Nakayama and Yamamoto [20] for simulating the interaction between fluid and particles in colloidal dispersions. The method has been devised to be used in combination with highorder methods and has successfully been employed for the simulation of particle-laden flows [13,14,[21][22][23], electro-charged colloids and electrophoresis of dense dispersions [24][25][26][27][28][29][30].…”

Section: Fully Resolved Simulationsmentioning

confidence: 99%

Particle–boundary interaction in a shear-driven cavity flow

Romanò

Kuhlmann

2017

Theor. Comput. Fluid Dyn.

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The motion of a heavy finite-size tracer is numerically calculated in a two-dimensional shear-driven cavity. The particle motion is computed using a discontinuous Galerkin-finite-element method combined with a smoothed profile method resolving all scales, including the flow in the lubrication gap between the particle and the boundary. The centrifugation of heavy particles in the recirculating flow is counteracted by a repulsion from the shear-stress surface. The resulting limit cycle for the particle motion represents an attractor for particles in dilute suspensions. The limit cycles obtained by fully resolved simulations as a function of the particle size and density are compared with those obtained by one-way coupling using the Maxey-Riley equation and an inelastic collision model for the particle-boundary interaction, solely characterized by an interaction-length parameter. It is shown that the one-way coupling approach can faithfully approximate the true limit cycle if the interaction length is selected depending on the particle size and its relative density.

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Section: Fully Resolved Simulationsmentioning

confidence: 99%

Particle–boundary interaction in a shear-driven cavity flow

Romanò

Kuhlmann

2017

Theor. Comput. Fluid Dyn.

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“…To enforce the fictitious fluid inside the rigid particle to satisfy the rigid-body motion constraint, a body force is introduced inside of the particle domain which is zero outside of it. Fluid-solid interaction force which acts on solid particle nodes is given by (Jafari, Yamamoto et al 2011):…”

Section: Fig 2 Representation Of a Particle In Smoothed Profile (Somentioning

confidence: 99%

“…Although computational demand of this method depends on the number of grid points, it is insensitive to the number of particles. (Jafari, Yamamoto et al 2011) combined SPM and LBM successfully to study particulate suspension for the first time. In their work, such combination has been validated by simulating flow over a circular cylinder, a neutrally buoyant cylinder in simple shear flow, two circular cylinders that approach each other in a channel, and sedimentation of two circular cylinders in a viscous fluid.…”

Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann Simulation of Solid Particles Motion in a Three Dimensional Flow using Smoothed Profile Method

Khalili

Rahnama

Jafari

et al. 2017

JAFM

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Three-dimensional particulate flow has been simulated using Lattice Boltzmann Method (LBM). Solid-fluid interaction was modeled based on Smoothed Profile Method (SPM) (Jafari et. al, Lattice-Boltzmann method combined with smoothed-profile method for particulate suspensions, Phys. Rev. E, 2011). In this paper a GPU code based on three-dimensional lattice Boltzmann method and smoothed profile method has been prepared due to the ability of SPM-LBM to perform locally and in parallel mode. Results obtained for sedimentation of one and two spherical particles as well as their behavior in shear flow showed excellent correspondence with previous published works. Computations for a large number of particles sedimentation showed that combination of LBM and SPM on a GPU platform can be considered as an efficient and promising computational frame work in particulate flow simulations.

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“…Hydrodynamic force, F H i , and torque, T H i , exerted on each solid particle are obtained from momentum conservation law as [10]:…”

Section: Fluid-solid Interaction Simulation Using Smoothed Pro Le Metmentioning

confidence: 99%

“…As will be shown in the following section, body force calculation in this method is a straightforward procedure. Considering this feature, the drawbacks of link-based methods and complicated task of body force calculation in immersed boundary methods on one hand and the advantage of LBM and SPM in using regular Cartesian grids on the other hand motivated Jafari et al [10] to combine these methods. Recently, this method has been used to study the rheological behavior of particle suspension uids [11].…”

Section: Introductionmentioning

confidence: 99%

Particle flow simulation in a channel with symmetric protuberances using combination of lattice Boltzmann and smoothed profile methods

et al. 2017

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Abstract. In the present study, a combination of Lattice Boltzmann Method (LBM) and Smoothed Pro le Method (SPM) is used to simulate one, two, and many particles motion in a planar channel with two symmetric protuberances. LBM is applied as the uid ow solver and SPM is used to satisfy the no-slip boundary condition at particles surfaces. Bounceback boundary conditions are used for lower and upper walls while pressure boundary conditions are applied for the uid inlet and outlet boundaries. Horizontal, vertical, and angular velocities of particles are recorded during the simulation. It is concluded that the combined LBM-SPM can be considered as a good candidate for simulation of particle motion in a channel with stenotic geometry.

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Lattice-Boltzmann method combined with smoothed-profile method for particulate suspensions

Cited by 111 publications

References 27 publications

Particle–boundary interaction in a shear-driven cavity flow

Particle–boundary interaction in a shear-driven cavity flow

Lattice Boltzmann Simulation of Solid Particles Motion in a Three Dimensional Flow using Smoothed Profile Method

Particle flow simulation in a channel with symmetric protuberances using combination of lattice Boltzmann and smoothed profile methods

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