In this study, we numerically investigate
the dynamic behaviors
of micron-scale compound droplets impacting onto superhydrophobic
surfaces patterned by micropillar arrays using a three-dimensional
free-energy-based lattice Boltzmann method. We address how the interplay
between physical parameters (i.e., Weber number) and geometric parameters
(i.e., pillar density and spacing and the droplet core–shell
size ratio) affects the spreading, breakup, and rebound behaviors
of compound droplets, which remains unknown and unquantified. We identify
three flow regimes in which the interfacial morphology between the
core and shell evolves and breaks up in distinct ways: namely, hole
nucleation at the substrate, rupture of the film at the apex of the
shell, and toroidal formation of the core droplet before its detachment
from the pillars. We demonstrate that the transition between the three
regimes and the maximum spreading factor of compound droplets can
be changed by varying the core–shell size ratio, the pillar
density, and the Weber number. The non-wetting behavior of the pillar
structures eventually forms a new suspended pure droplet or a new
suspended compound droplet, which can be characterized by the core–shell
size ratio, pillar density, and Weber number.