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Creators/Authors contains: "Camille Carvalho, Arnold Kim"

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  1. (, WAVES 2022)
    We consider acoustic binding of particles resulting from radiation forces created through multiple scattering. This problem has potential for developing methods for assembling novel meta-materials. A key consideration in acoustic binding is when two or more particles are closely situated to one another and form a cluster. For that case, the near-field scattering by the particles becomes important. Here, we study multiple scattering by two closely-situated sound-hard spheres. Using boundary integral equation (BIE) methods, we find that a close evaluation problem arises leading to a nearly singular system of BIEs governing the surface fields. An asymptotic analysis of the problem reveals that this nearly singular behavior will lead to large error in the numerical solution unless it is explicitly addressed. 
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