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Updated: Jul 4, 2026

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
Published on: February 22, 2018
Hydrodynamic crystals: collective dynamics of regular arrays of spherical particles in a parallel-wall channel
M Baron1, J Bławzdziewicz, E Wajnryb
1Department of Mechanical Engineering, Yale University, P.O. Box 20-8286, New Haven, Connecticut 06520, USA.
Abstract:
Simulations of over 10;{3} hydrodynamically coupled solid spheres are performed to investigate collective motion of linear trains and regular square arrays of particles suspended in a fluid bounded by two parallel walls. Our novel accelerated Stokesian-dynamics algorithm relies on simplifications associated with the Hele-Shaw asymptotic far-field form of the flow scattered by the particles. The simulations reveal propagation of particle-displacement waves, deformation, and rearrangements of a particle lattice, propagation of dislocation defects in ordered arrays, and long-lasting coexistence of ordered and disordered regions.
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