Complex Dynamics of an Acoustically Levitated Fluid Droplet Captured by a Low-Order Immersed Boundary Method
arxiv(2024)
摘要
We present a novel immersed boundary method that implements acoustic
perturbation theory to model an acoustically levitated droplet. Instead of
resolving sound waves numerically, our hybrid method solves acoustic scattering
semi-analytically and models the corresponding time-averaged acoustic forces on
the droplet. This framework allows the droplet to be simulated on inertial
timescales of interest, and thereby admit a much larger time resolution than
traditional compressible flow solvers. To benchmark this technique and
demonstrate its utility, we implement the hybrid IBM for a single droplet in a
standing wave. Simulated droplet shape deformations and streaming profile agree
with theoretical predictions. Our simulations also yield new insights on the
streaming profiles for elliptical droplets, for which a comprehensive analytic
solution does not exist.
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