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

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.

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, 2002, 12 (5), pp.625-647. ⟨10.1142/S0218202502001829⟩. ⟨hal-00990309⟩