| Lattice-Boltzmann simulations are used to examine the effects of fluid inertia on flows in ordered and random arrays of spheres, and in a wall-hounded ordered array of aligned cylinders. The range of Reynolds numbers spans from zero (Stokes flow), through small, but finite values, for which theoretical progress can he made when the solid volume fraction is small, to moderate Reynolds numbers at which the flows are characterized by complex topologies and self-sustained dynamics. The favorable comparisons of the simulations with theory, when applicable, and experiments demonstrates the lattice-Boltzmann method to he a reliable and efficient computation tool for studying nonlinear hydrodynamics in complex geometries. |
