Acoustic Scattering from Fluid Bodies of Arbitrary Shape
B. Chandrasekhar; and Sadasiva M. Rao

doi:10.3970/cmes.2007.021.067
Source CMES: Computer Modeling in Engineering & Sciences, Vol. 21, No. 1, pp. 67-80, 2007
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Keywords acoustic scattering, fluid bodies, arbitrary shape
Abstract In this work, a simple and robust numerical method to calculate the scattered acoustic fields from fluid bodies of arbitrary shape subjected to a plane wave incidence is presented. Three formulations are investigated in this work$viz.$ the single layer formulation (SLF), the double layer formulation (DLF), and the combined layer formulation (CLF). Although the SLF and the DLF are prone to non-uniqueness at certain discrete frequencies of the incident wave, the CLF is problem-free, eliminates numerical artifacts, and provides a unique solution at all frequencies. Further, all the three formulations are surface formulations which implies that only the scatterer surface is discretized for the numerical solution. The numerical solution is obtained by approximating the fluid body surface by triangular patches and adopting the method of moments (MoM) solution procedure. Finally, several numerical examples have been presented to highlight the capabilities of the present work.
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