A fluctuating lattice-Boltzmann model for direct numerical simulation of particle Brownian motion--颗粒学报PARTICUOLOGY

Nie, D., & Lin, J. (2009). A fluctuating lattice-Boltzmann model for direct numerical simulation of particle Brownian motion. Particuology, 7(6), 501–506. https://doi.org/10.1016/j.partic.2009.06.012

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

Deming Nie ^{a b}, Jianzhong Lin ^{a b *}

a State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China
b China Jiliang University, Hangzhou 310018, China

10.1016/j.partic.2009.06.012

Volume 7, Issue 6, December 2009, Pages 501-506

Received 30 December 2008, Accepted 2 June 2009, Available online 15 October 2009.

E-mail: mecjzlin@public.zju.edu.cn

Highlights

Abstract

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 mean-square displacement, velocity autocorrelation function and self-diffusion coefficient of particles compare favorably with theoretical results and previous numerical results.

Graphical abstract

Keywords

Fluctuating hydrodynamics; Lattice-Boltzmann method; Brownian motion; Direct numerical simulation

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