The first effects of fluid inertia on flows in ordered and random arrays of spheres

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

426 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/09a37e65cd22d608c322bda92c6df4af974de2ca

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In Computational Mechanics

Citations in the corpus

FLUID MECHANICS AND RHEOLOGY OF DENSE SUSPENSIONS (2001, methodology): “Other notable simulation techniques are dissipative particle dynamics (Boek et al. 1997, Hoogerbrugge & Koelman 1992), the lattice Boltzmann method (Chen & Doolen 1998, Hill et al. 2001), and the Lagrange multiplier fictitious domain method (Glowinski et al. 1999, Singh et al. 2003).”
STAGNATION-POINT FLOWS IN A POROUS MEDIUM (2005, methodology): “…(1979) andGivler and Altobelli (1994), appears to support this hypothesis although the detailed averaging of the microscopic velocity u′ in the 〈(u′ · ∇)u′〉 term has been rigorously accomplished only for restricted flows past arrays of spheres and cylinders (Hill et al., 2001; Hill and Koch, 2002).”
Modeling Turbulent Flows in Porous Media (2020, methodology): “…2005), fictitious domain methods (Apte et al. 2009, Glowinski et al. 2001, Haeri & Shrimpton 2012), the lattice Boltzmann method (LBM) (Chukwudozie & Tyagi 2013; Hill & Koch 2002a; Hill et al. 2001a,b; Ladd 1994a,b), and methods based on smoothed-particle hydrodynamics (Ovaysi & Piri 2010).”
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”
Lattice-Boltzmann simulations of low-Reynolds-number flow past mono- and bidisperse arrays of spheres: results for the permeability and drag force (2005, background): “(4) Note that in some literature (e.g. Hill et al. 2001a, b), the total force on the particle Fg→s is defined as the drag force.”
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].”
Moderate-Reynolds-number flows in ordered and random arrays of spheres (2001, methodology): “From the theory presented in the accompanying paper (Hill et al. 2001), this scaling is expected only when ReL 1, which at this solid volume fraction corresponds to Re 0.”