Astley, R.J. and Bain, J.G.
A three-dimensional boundary element scheme for acoustic radiation in low mach number flows
Journal of Sound and Vibration, 109, (3), . (doi:10.1016/S0022-460X(86)80381-9).
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A boundary element scheme is proposed for acoustical radiation in moving flows. The scheme relies upon a transformation, valid at low Mach numbers, which permits the case with flow to be restated as an equivalent problem, in the absence of flow but with modified boundary conditions. This restatement of the original problem is then amenable to boundary integral representation and boundary element solution. Results obtained by using this approach are presented for the test case of a pulsating or juddering sphere of finite dimensions in a uniform low Mach number flow. A fully three-dimensional boundary element model is used. The validity of the results is established by comparison with an analytic perturbation solution (where applicable) and by comparison with results from an alternative, axisymmetric numerical scheme.
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