Acoustic diffraction by a plate in a uniform flow

A. S. Bonnet-Bendhia; L. Dahi; E. Luneville; V. Pagneux

doi:10.1142/S0218202502001829

Acoustic diffraction by a plate in a uniform flow

A. S. Bonnet-Bendhia
, L. Dahi
, E. Luneville
, V. Pagneux

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	625-647
Number of pages	23
Journal	Mathematical Models and Methods in Applied Sciences
Volume	12
Issue number	5
DOIs	https://doi.org/10.1142/S0218202502001829
Publication status	Published - 1 Jan 2002

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title = "Acoustic diffraction by a plate in a uniform flow",

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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AU - Bonnet-Bendhia, A. S.

AU - Dahi, L.

AU - Luneville, E.

AU - Pagneux, V.

PY - 2002/1/1

Y1 - 2002/1/1

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0035998602

U2 - 10.1142/S0218202502001829

DO - 10.1142/S0218202502001829

M3 - Article

AN - SCOPUS:0035998602

SN - 0218-2025

VL - 12

SP - 625

EP - 647

JO - Mathematical Models and Methods in Applied Sciences

JF - Mathematical Models and Methods in Applied Sciences

IS - 5

ER -

Acoustic diffraction by a plate in a uniform flow

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