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

Abstract

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

Multiphase lattice Boltzmann simulations for porous media applications

“…This method was pioneered by Ladd and colleagues and is mostly used for suspension flows [156][157][158][159]. The method has been applied to suspensions of spherical and non-spherical particles by various authors [160][161][162].…”

“…To avoid redistributing fluid mass from lattice nodes being covered or uncovered by solids, one can allow interior fluid within closed surfaces. Its movement relaxes to the movement of the solid body on much shorter time scales than the characteristic hydrodynamic interaction [156,159,170].…”

An Accurate Curved Boundary Treatment in the Lattice Boltzmann Method

“…However, a finite slip velocity at the stationary wall exists [22,19] and the accuracy for the flow field is thus degraded due to the inaccuracy of the boundary conditions [11]. In simulating suspension flows using the LBE method, Ladd placed the solid walls in the middle between the lattice nodes [21]. This is referred to as bounce-back on the link (BBL).…”

Generalized Langevin dynamics of a nanoparticle using a finite element approach: Thermostating with correlated noise

“…In the fluctuating hydrodynamics approach, the nanoparticle motion incorporates both the Brownian motion and the effect of hydrodynamic force acting on its surface imparted from the surrounding fluid. Over the years, many numerical simulation schemes, such as the finite volume method, 1, 2 the lattice Boltzmann method (LBM), [3][4][5][6][7][8] and the stochastic immersed boundary method, 9 have been developed to investigate the Brownian motion of a particle using fluctuating hydrodynamics. A coarse-graining methodology has been developed to bridge molecular dynamics and fluctuating hydrodynamics simulations.…”