Acoustic diffraction by a rigid plate in a uniform flow

Anne-Sophie Bonnet-Ben Dhia 1 Lynda Dahi Éric Lunéville 1 Vincent Pagneux
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : We present a mathematical framework for the problem of the 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.
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Anne-Sophie Bonnet-Ben Dhia, Lynda Dahi, Éric Lunéville, Vincent Pagneux. Acoustic diffraction by a rigid plate in a uniform flow. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2002, 12 (5), pp.625-647. ⟨10.1142/S0218202502001829⟩. ⟨hal-00990309⟩



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