Moderate-Reynolds-number flows in ordered and random arrays of spheres

By Reghan J. Hill, D. Koch, Anthony J. C. Ladd. Journal of Fluid Mechanics, 2001

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The first effects of fluid inertia on flows in ordered and random arrays of spheres (2001, background): “Consequently, they establish the minimum computational requirements – sphere radius and number of spheres in the random configurations, for example – for the subsequent simulations of finite-Reynolds-number flows presented in this and the accompanying paper (Hill et al. 2001).”
A New Drag Correlation from Fully Resolved Simulations of Flow Past Monodisperse Static Arrays of Spheres (2015, methodology): “Hill, Koch, and Ladd9 carried out LBM simulations for intermediate-Re flows (40 Re 120), and proposed the following expression (referred as HKL) for an extended Re range að/Þ50:03365ð12/Þ10:106/ð12/Þ1 0:0116 ð12/Þ4 1 dF Re (7) where the term dF=Re was added by Beetstra et al.11 for a better predict”
Lagrangian-Eulerian methods for multiphase flows (2013, methodology): “The dependence of drag on volume fraction is given by the computational drag laws proposed by various authors [79–81,40].”
Sedimentation of a dilute suspension of rigid spheres at intermediate Galileo numbers: the effect of clustering upon the particle motion (2014, background): “In the twoparameter space a variety of particle path regimes are encountered, involving vertical, oblique, time-periodic oscillating, zig-zagging, helical and chaotic motion, as shown numerically (Jenny et al., 2004) and experimentally (Veldhuis & Biesheuvel, 2007; Horowitz & Williamson, 2010). When”