Numerical simulation method for Brownian particles dispersed in incompressible fluids
Mesoscale and Nanoscale Physics
2019-10-30 v2 Statistical Mechanics
Computational Physics
Fluid Dynamics
Abstract
We present a numerical scheme for simulating the dynamics of Brownian particles suspended in a fluid. The motion of the particles is tracked by the Langevin equation, whereas the host fluid flow is analyzed by using the lattice Boltzmann method. The friction force between a particle and the fluid is evaluated correctly based on the velocity difference at the position of the particle. The coupling method accurately reproduces the long-time tail observed in the velocity auto-correlation function. We also show that the fluctuation-dissipation relation holds between the relaxation of a single particle and the velocity autocorrelation function of fluctuating particles.
Cite
@article{arxiv.1909.13412,
title = {Numerical simulation method for Brownian particles dispersed in incompressible fluids},
author = {Hiroaki Yoshida and Tomoyuki Kinjo and Hitoshi Washizu},
journal= {arXiv preprint arXiv:1909.13412},
year = {2019}
}
Comments
5 pages, 3 figures