✦ LIBER ✦

A fluctuating lattice-Boltzmann model for direct numerical simulation of particle Brownian motion

✍ Scribed by Deming Nie; Jianzhong Lin

Publisher: Elsevier
Year: 2009
Tongue: English
Weight: 381 KB
Volume: 7
Category: Article
ISSN: 1674-2001
DOI: 10.1016/j.partic.2009.06.012

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✦ Synopsis

A single-relaxation-time fluctuating lattice-Boltzmann (LB) model for direct numerical simulation (DNS) of particle Brownian motion is established by adding a fluctuating component to the lattice-Boltzmann equations (LBEs). The fluctuating term is proved to be the random stress tensor in fluctuating hydrodynamics by recovering Navier-Stokes equations from LBEs through a Chapman-Enskog expansion. A three-dimensional implementation of the model is also presented, along with simulations of a single spherical particle and 125 spherical particles at short times. Numerical results including the meansquare displacement, velocity autocorrelation function and self-diffusion coefficient of particles compare favorably with theoretical results and previous numerical results.

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