Abstract
Clustering of small rigid spherical particles in particle accumulation structures (PAS) of various shapes is found with highly resolved numerical simulations in a thermocapillary liquid bridge at a Prandtl number of 68. The intricate Kolmogorov--Arnold--Moser (KAM) structure of the fluid flow is unraveled for several Reynolds numbers for flows periodic in time and space. For these flows, a rich variety of periodic and quasiperiodic attractors for particles nearly density-matched to the fluid is found near closed streamlines and KAM tori approaching the free surface closely. A large parametric study finds the PAS dependence on particle size, particle-to-fluid density ratio, and Reynolds number.
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