Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 2. Numerical results
- 25 July 1994
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 271, 311-339
- https://doi.org/10.1017/s0022112094001783
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.Other Versions
This publication has 18 references indexed in Scilit:
- Short-time motion of colloidal particles: Numerical simulation via a fluctuating lattice-Boltzmann equationPhysical Review Letters, 1993
- Observation of Brownian motion on the time scale of hydrodynamic interactionsPhysical Review Letters, 1993
- Scaling of transient hydrodynamic interactions in concentrated suspensionsPhysical Review Letters, 1992
- Hydrodynamic transport coefficients of random dispersions of hard spheresThe Journal of Chemical Physics, 1990
- Nondiffusive Brownian motion studied by diffusing-wave spectroscopyPhysical Review Letters, 1989
- Hydrodynamic interactions in a suspension of spherical particlesThe Journal of Chemical Physics, 1988
- Lennard-Jones triple-point bulk and shear viscosities. Green-Kubo theory, Hamiltonian mechanics, and nonequilibrium molecular dynamicsPhysical Review A, 1980
- Fluctuating hydrodynamics and Brownian motionJournal of Statistical Physics, 1973
- Ensemble Dependence of Fluctuations with Application to Machine ComputationsPhysical Review B, 1967
- On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheresJournal of Fluid Mechanics, 1959