C. K. Aidun and Y. N. Lu, Lattice Boltzmann simulation of solid particles suspended in fluid, J. Stat. Phys.
C. K. Aidun, Y. N. Lu, and E. Ding, Direct analysis of particulate suspensions with inertia using the discrete Boltzmann equation, J. Fluid Mech.
R. C. Ball and J. R. Melrose, A simulation technique for many spheres in quasi-static motion under frame-invariant pair drag and Brownian forces, Physica A
C. W. J. Beenakker, The effective viscosity of a concentrated suspension (and its relation to diffusion), Physica A
O. P. Behrend, Solid-fluid boundaries in particle suspension simulations via the lattice-Boltzmann method, Phys. Rev. E
R. Benzi, S. Succi, and M. Vergassola, The lattice-Boltzmann equation-Theory and applications, Phys. Rep.
H. Binous and R. J. Phillips, The effect of sphere-wall interactions on particle motion in a viscoelastic suspension of FENE dumbbells, J. Non-Newton. Fluid Mech.
G. A. Bird, Molecular Gas Dynamics (University Press, London, Oxford, 1976).
L. Bocquet, J. Piasecki, and J.-P. Hansen, On the Brownian motion of a massive sphere suspended in a hard sphere fluid. 1. Multiple-time-scale analysis and microscopic expression for the friction coefficient, J. Stat. Phys.
G. Bossis and J. F. Brady, Self-diffusion of Brownian particles in concentrated suspensions under shear, J. Chem. Phys.
J. F. Brady, Rheology of concentrated colloidal dispersions, J. Chem. Phys.
J. F. Brady and G. Bossis, Stokesian dynamics, Ann. Rev. Fluid. Mech.
J. F. Brady and J. F. Morris, Microstructure of strongly sheared suspensions and its impact on rheology and diffusion, J. Fluid Mech.
H. Brenner, The slow motion of a sphere through a viscous fluid towards a plane surface, Chem. Engng. Sci.
M. P. Brenner, Screening mechanisms in sedimentation, Phys. Fluids
R. E. Caflisch and J. H. C. Luke, Variance in the sedimentation speed of a suspension, Phys. Fluids
A. A. Catherall, J. R. Melrose, and R. C. Ball, Shear thickening and order-disorder effects in concentrated colloids at high shear rates, J. Rheol.
S. Chapman and T. G. Cowling, The Mathematical Theory of Non-Uniform Gases (Cambridge University Press, Cambridge, 1960).
H. Chen, Volumetric formulation of the lattice-Boltzmann method for fluid dynamics: Basic Concept, Phys. Rev. E
H. Chen, S. Chen, and W. H. Matthaeus, Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method, Phys. Rev. A
H. D. Chen, C. Teixeira, and K. Molvig, Realization of fluid boundary conditions via discrete Boltzmann dynamics, Int. J. Mod. Phys. C
S. Chen and G. D. Doolen, Lattice Boltzmann method for fluid flows, in Annual Review of Fluid Mechanics, J. L. Lumley, M. V. Dyke, and H. L. Reed, eds. (Palo Alto, California, 1998), pp. 329-364.
S. Chen, Z. Wang, X. Shan, and G. D. Doolen, Lattice Boltzmann computational fluid dynamics in three dimensions, J. Stat. Phys
S. Y. Chen, D. Martinez, and R. W. Mei, On boundary conditions in lattice Boltzmann methods, Phys. Fluids
B. Cichocki and R. B. Jones, Image representation of a spherical particle near a hard wall, Physica A
I. L. Claeys and J. F. Brady, Suspensions of prolate spheroids in Stokes flow. 1. Dynamics of a finite number of particles in an unbounded fluid, J. Fluid Mech.
R. Cornubert, D. d'Humières, and C. D. Levermore, A Knudsen layer theory for lattice gases, Physica D
R. G. Cox, The motion of suspended particles almost in contact, Int. J. Multiphase Flow
R. I. Cukier, R. Kapral, and J. R. Mehaffey, Kinetic theory of the hydrodynamic interaction between 2 particles, J. Chem. Phys.
B. Dubrulle, U. Frisch, M. Hénon, and J.-P. Rivet, Low-viscosity lattice gases, Physica D
L. Durlofsky, J. F. Brady, and G. Bossis, Dynamic simulation of hydrodynamically interacting particles, J. Fluid Mech.
D. A. Edwards, M. Shapiro, P. Bar-Yoseph, and M. Shapira, The influence of Reynolds number upon the apparent permeability of spatially periodic arrays of cylinders, Phys. Fluids A
D. L. Ermak and J. A. McCammon, Brownian dynamics with hydrodynamic interactions, J. Chem. Phys.
J. Feng, H. H. Hu, and D. D. Joseph, Direct simulation of initial-value problems for the motion of solid bodies in a Newtonian fluid. 1. Sedimentation, J. Fluid Mech.
J. Feng, H. H. Hu, and D. D. Joseph, Direct simulation of initial-value problems for the motion of solid bodies in a Newtonian fluid. 2. Couette and Poiseuille flows, J. Fluid Mech.
O. Filippova and D. Hänel, Grid-refinement for lattice-BGK models, J. Comput. Phys.
A. L. Fogelson and C. S. Peskin, A fast numerical method for solving the three-dimensional Stokes equations in the presence of suspended particles, J. Comput. Phys.
B. Fornberg, Steady incompressible flow past a row of circular cylinders, J. Fluid Mech.
D. R. Foss and J. F. Brady, Structure, diffusion and rheology of Brownian suspensions by Stokesian dynamics simulation, J. Fluid Mech.
S. Fraden and G. Maret, Multiple light scattering from concentrated, interacting suspensions, Phys. Rev. Lett.
U. Frisch, D. d'Humières, B. Hasslacher, P. Lallemand, Y. Pomeau, and J.-P. Rivet, Lattice gas hydrodynamics in two and three dimensions, Complex Systems
U. Frisch, B. Hasslacher, and Y. Pomeau, Lattice gas automata for the Navier-Stokes equation, Phys. Rev. Lett.
M. A. Gallivan, D. R. Noble, J. G. Georgiadis, and R. O. Buckius, An evaluation of the bounce-back boundary condition for lattice Boltzmann simulations, Int J. Numer. Meth. Fluids
C. K. Ghadder, On the permeability of unidirectional fibrous media: A parallel computational approach, Phys. Fluids
I. Ginzbourg and P. M. Adler, Boundary condition analysis for the three-dimensional lattice-Boltzmann model, J. Phys. II France
I. Ginzbourg and D. d'Humières, Local second-order boundary methods for lattice-Boltzmann models, J. Stat. Phys.
R. Glowinski, T. W. Pan, T. I. Hesla, D. D. Joseph, and J. Periaux, A distributed Lagrange multiplier/fictitious domain method for the simulation of flow around moving rigid bodies, Comput. Method Appl Math Engng
A. Greenbaum, Iterative methods for solving linear systems (Society for Industrial and Applied Mathematics, Philadelphia, 1997).
R. D. Groot and P. B. Warren, Dissipative particle dynamics: Bridging the gap between atomistic and mesoscopic simulation, J. Chem. Phys.
J. P. Hansen and I. R. McDonald, Theory of Simple Liquids (Academic Press, London, 1986).
J. Happel and H. Brenner, Low-Reynolds Number Hydrodynamics (Martinus Nijhoff, Dordrecht, 1986).
E. H. Hauge and A. Martin-Löf, Fluctuating hydrodynamics and Brownian motion, J. Stat. Phys.
X. He and L.-S. Luo, Lattice-Boltzmann model for the incompressible Navier-Stokes equation, J. Stat. Phys.
X. He, Q. Zou, L.-S. Luo, and M. Dembo, Analytic solutions of simple flows and analysis of nonslip boundary conditions for the lattice Boltzmann BGK model, J. Stat. Phys.
M. W. Heemels, M. H. J. Hagen, and C. P. Lowe, Simulating solid colloidal particles using the lattice-Boltzmann equation, J. Comput. Phys.
F. Higuera, S. Succi, and R. Benzi, Lattice gas dynamics with enhanced collisions, Europhys. Lett.
R. J. Hill, D. L. Koch, and A. J. C. Ladd, Inertial flows in ordered and random arrays of spheres, J. Fluid Mech, Submitted (1999).
P. J. Hoogerbrugge and J. M. V. A. Koelman, Simulating microscopic hydrodynamic phenomena with dissipative particle dynamics, Europhys. Lett.
W. G. Hoover, T. G. Pierce, C. G. Hoover, J. O. Shugart, C. M. Stein, and A. L. Edwards, Molecular-dynamics, smoothed-particle applied mechanics, and irreversibility, Comput. Math. Appl.
A. Jasberg, A. Koponen, M. Kataja, and J. Timonen, Hydrodynamical forces acting on particles in a two-dimensional flow near a solid wall, Comput. Phys. Comm.
D. J. Jeffrey and Y. Onishi, Calculation of the resistance and mobility functions of two unequal rigid spheres in low-Reynolds-number flow, J. Fluid Mech.
D. D. Joseph, Y. J. Liu, M. Poletto, and J. Feng, Aggregation and dispersion of spheres falling in viscoelastic liquids, J. Non-Newton Fluid Mech.
D. L. Koch and A. J. C. Ladd, Moderate Reynolds number flows through periodic and random arrays of aligned cylinders, J. Fluid Mech.
D. L. Koch and E. S. G. Shaqfeh, Screening in sedimenting suspensions, J. Fluid Mech.
A. Koponen, Simulations of Fluid Flow in Porous Media by Lattice-Gas and Lattice-Boltzmann Methods, Ph.D. thesis, University of Jyväkylä, Finland (1998).
A. J. C. Ladd, Hydrodynamic interactions in a suspension of spherical particles, J. Chem. Phys.
A. J. C. Ladd, Hydrodynamic transport coefficients of random dispersions of hard spheres, J. Chem. Phys.
A. J. C. Ladd, Short-time motion of colloidal particles: Numerical simulation via a fluctuating lattice-Boltzmann equation, Phys. Rev. Lett.
A. J. C. Ladd, Numerical simulations of particulate suspensions via a discretized Boltzmann equation Part I. Theoretical foundation, J. Fluid Mech.
A. J. C. Ladd, Numerical simulations of particulate suspensions via a discretized Boltzmann equation Part II. Numerical results, J. Fluid Mech.
A. J. C. Ladd, Hydrodynamic screening in sedimenting suspensions of non-Brownian spheres, Phys. Rev. Lett.
A. J. C. Ladd, Sedimentation of homogeneous suspensions of non-Brownian spheres, Phys. Fluids
A. J. C. Ladd, M. E. Colvin, and D. Frenkel, Application of lattice-gas cellular automata to the Brownian motion of solids in suspension, Phys. Rev. Lett.
A. J. C. Ladd and D. Frenkel, Dynamics of colloidal dispersions via lattice-gas models of an incompressible fluid, in Cellular Automata and Modeling of Complex Physical Systems, P. Manneville, N. Boccara, G. Y. Vichniac, and R. Bidaux, eds. (Berlin-Heidelberg, 1989), pp. 242-245.
A. J. C. Ladd and D. Frenkel, Dissipative hydrodynamic interactions via lattice-gas cellular automata, Physics of Fluids A
A. J. C. Ladd, Effects of container walls on the velocity fluctuations of sedimenting spheres, Unpublished work (2000).
L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Addison-Wesley, London, 1959).
L. D. Landau and E. M. Lifshitz, Statistical Physics (Addison-Wesley, Reading, Massachusetts, 1969).
C. E. Leith, Stochastic backscatter in a subgrid-scale model-Plane shear mixing layer, Phys. Fluids A
A. Levine, S. Ramaswamy, E. Frey, and R. Bruinsma, Screened and unscreened phases in sedimenting suspensions, Phys. Rev. Lett.
M. Loewenberg and E. J. Hinch, Numerical simulation of a concentrated emulsion in shear flow, J. Fluid Mech.
C. P. Lowe and D. Frenkel, Short-time dynamics of colloidal suspensions, Phys. Rev. E
C. P. Lowe, D. Frenkel, and A. J. Masters, Long-time tails in angular momentum correlations, J. Chem. Phys.
J. H. C. Luke, Decay of velocity fluctuations in a stably stratified suspension, Phys. Fluids.
L.-S. Luo, Unified theory of lattice Boltzmann models for nonideal gases, Phys. Rev. Lett.
A. Madja, Compressible Fluid Flow and Systems of Conservation Laws in Several Space Dimensions (Springer-Verlag, New York, 1984).
R. S. Maier, R. S. Bernard, and D. W. Grunau, Boundary conditions for the lattice Boltzmann method, Phys. Fluids
D. O. Martinez, W. H. Matthaes, S. Chen, and D. C. Montgomery, On boundary conditions in lattice Boltzmann methods, Phys. Fluids
G. R. McNamara and B. J. Alder, Analysis of the lattice Boltzmann treatment of hydrodynamics, Physica A
G. R. McNamara and G. Zanetti, Use of the Boltzmann equation to simulate lattice-gas automata, Phys. Rev. Lett.
R. W. Mei, L. S. Luo, and W. Shyy, An accurate curved boundary treatment in the lattice Boltzmann method, J. Comput. Phys.
J. R. Melrose and R. C. Ball, The pathological behavior of sheared hard-spheres with hydrodynamic interactions, Europhys. Lett.
J. J. Monaghan, Smoothed particle hydrodynamics, Annu. Rev. Astron. Astr.
J. P. Morris, P. J. Fox, and Y. Zhu, Modeling Low Reynolds Number Incompressible Flow Using SPH, J. Comput. Phys.
G. P. Muldowney and J. J. L. Higdon, A spectral boundary-element approach to 3-dimensional Stokes flow, J. Fluid Mech.
N.-Q. Nguyen and A. J. C. Ladd, Lubrication forces in lattice-Boltzmann simulations, Unpublished work (2000).
H. Nicolai and E. Guazzelli, Effect of the vessel size on the hydrodynamic diffusion of sedimenting spheres, Phys. Fluids
D. R. Noble, S. Y. Chen, J. G. Georgiadis, and R. O. Buckius, A consistent hydrodynamic boundary-condition for the lattice Boltzmann method, Phys. Fluids
S. A. Orszag and V. Yakhot, Reynolds-number scaling of cellular-automaton hydrodynamics, Phys. Rev. Lett.
H. C. Öttinger, Stochastic Processes in Polymeric Fluids (Springer-Verlag, Berlin, 1996).
T. N. Phung, J. F. Brady, and G. Bossis, Stokesian dynamics simulation of Brownian suspensions, J. Fluid Mech.
C. Pozrikidis, On the transient motion of ordered suspensions of liquid drops, J. Fluid Mech.
D. W. Qi, Lattice Boltzmann simulations of particles in nonzero Reynolds number flows, J. Fluid Mech.
Y. H. Qian, D. d'Humières, and P. Lallemand, Lattice BGK models for the Navier- Stokes equation, Europhys. Lett.
S. R. Rastogi, N. J. Wagner, and S. R. Lustig, Rheology, self-diffusion, and microstructure of charged colloids under simple shear by massively parallel nonequlibrium Brownian dynamics, J. Chem. Phys.
D. H. Rothman, Cellular-automaton fluids: a model for flow in porous media, Geophys.
A. S. Sangani and A. Acrivos, Slow flow past periodic arrays of cylinders with application to heat transfer, Int. J. Multiphase Flow
A. S. Sangani and G. B. Mo, An O(N) algorithm for Stokes and Laplace interactions of particles, Phys. Fluids
P. N. Segré, O. P. Behrend, and P. N. Pusey, Short-time Brownian motion in colloidal suspensions-Experiment and simulation, Phys. Rev. E
P. N. Segré, E. Herbolzheimer, and P. M. Chaikin, Long-range correlations in sedimentation, Phys. Rev. Lett.
A. Sierou and J. F. Brady, Accelerated Stokesian dynamics simulations, J. Fluid Mech. (2001)
P. A. Skordos, Initial and boundary conditions for the lattice Boltzmann method, Phys. Rev. E
J. A. Somers and P. C. Rem, in Shell Conference on Parallel Computing, G. A. van der Zee, ed. (1988).
P. Tong and B. J. Ackerson, Analogies between colloidal sedimentation and turbulent convection at high Prandtl numbers, Phys. Rev. E
S. O. Unverdi and G. Tryggvason, A front-tracking method for viscous, incompressible, multi-fluid flows, J. Comput. Phys.
M. A. van der Hoef, D. Frenkel, and A. J. C. Ladd, Self-diffusion of colloidal particles in a two-dimensional suspension: are deviations from Fick's law experimentally observable?, Phys. Rev. Lett.
J. C. van der Werff and C. G. de Kruiff, Hard-sphere colloidal dispensions: the scaling of rheological properties with particle size, volume fraction, and shear rate, J. Rheol.
J. C. van der Werff, C. G. de Kruiff, C. Blom, and J. Mellema, Linear viscoelastic behavior of dense hard-sphere dispersions, Phys. Rev. A
R. Verberg, I. M. de Schepper, and E. G. D. Cohen, Viscosity of colloidal suspensions, Phys. Rev. E
R. Verberg and A. J. C. Ladd, Simulation of low-Reynolds-number flow via a time-independent lattice-Boltzmann method, Phys. Rev. E
R. Verberg and A. J. C. Ladd, Lattice-Boltzmann model with sub-grid scale boundary conditions, Phys. Rev. Lett
R. Verberg and A. J. C. Ladd, Simulations of erosion in narrow fractures, Water Resources Res., Submitted: Preprint at http://www.che.ufl.edu/ladd/publications/ wrr00.pdf (2000b).
D. A. Weitz, D. J. Pine, P. N. Pusey, and R. J. A. Tough, Nondiffusive Brownian motion studied by Diffusing-Wave Spectroscopy, Phys. Rev. Lett.
Y. Zhu, P. J. Fox, and J. P. Morris, A Pore-Scale Numerical Model for Flow through Porous Media, Int. J. Numer. Anal. Methods Geomech.
J. X. Zhu, D. J. Durian, J. Müller, D. A. Weitz, and D. J. Pine, Scaling of transient hydrodynamic interactions in concentrated suspensions, Phys. Rev. Lett.
D. P. Ziegler, Boundary conditions for lattice-Boltzmann simulations, J. Stat. Phys.
A. Z. Zinchenko and R. H. Davis, An efficient algorithm for hydrodynamical interaction of many deformable drops, J. Comput. Phys.