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

Journal of Fluid Mechanics · 1994 · Vol. 271 · pp. 311–339
Anthony J. C. Ladd

Abstract

A new and very general technique for simulating solid–fluid suspensions has been described in a previous paper (Part 1); the most important feature of the new method is that the computational cost scales linearly with the number of particles. In this paper (Part 2), extensive numerical tests of the method are described; results are presented for creeping flows, both with and without Brownian motion, and at finite Reynolds numbers. Hydrodynamic interactions, transport coefficients, and the short-time dynamics of random dispersions of up to 1024 colloidal particles have been simulated.

Lattice Boltzmann Simulation StudiesHeat and Mass Transfer in Porous MediaRheology and Fluid Dynamics StudiesReynolds numberDiscretizationMechanicsLattice Boltzmann methodsBrownian motionStatistical physicsComputational fluid dynamicsStokes numberPhysicsParticle (ecology)
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References
Decay of the Velocity Autocorrelation Function
Physical review. A, General physics · 1970 · 1,351 citations
Sedimentation in a dilute dispersion of spheres
Journal of Fluid Mechanics · 1972 · 1,251 citations
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Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 2. Numerical results · Scinovex