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Acoustic diffraction by a plate in a uniform flow. (English) Zbl 1023.76044

Summary: We present a mathematical framework for the problem of acoustic diffraction by a plate located in a duct, in the presence of a uniform flow. The model is based on a velocity potential representation outside a vortex sheet which is induced by the trailing edge of the plate. Using limiting absorption techniques and singular functions decompositions, we show how to get a theoretical and numerical well-suited formulation.

MSC:

76Q05 Hydro- and aero-acoustics
35Q35 PDEs in connection with fluid mechanics
35P99 Spectral theory and eigenvalue problems for partial differential equations
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References:

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