Introduction of acoustical diffraction in the radiative transfer method

Emeline Reboul; Alain Le Bot; Joël Perret-Liaudet

doi:10.1016/j.crme.2004.03.006

Introduction of acoustical diffraction in the radiative transfer method

Presented by: Gérard Iooss

Emeline Reboul ¹ ; Alain Le Bot ¹; Joël Perret-Liaudet ¹

¹ LTDS – UMR 5513, École centrale de Lyon, 69134 Ecully cedex, France

Comptes Rendus. Mécanique, Volume 332 (2004) no. 7, pp. 505-511.

Abstract
Résumé

This Note presents an original approach to include diffraction in the radiative transfer method when applied to acoustics. This approach leads to a better spatial description of the acoustical energy. An energetic diffraction coefficient and some diffraction sources are introduced to model the diffraction phenomena. The amplitudes of these sources are determined by solving a linear sytem of equations resulting from the power balance between all acoustical sources. The approach is applied on bidimensional examples and gives good results except at geometrical boundaries.

Cette Note présente une méthode originale permettant d'inclure la diffraction acoustique dans la méthode du transfert radiatif. Cette nouvelle approche conduit à une meilleure description de la répartition de l'énergie acoustique. Elle repose sur l'introduction d'un coefficient de diffraction énergétique, et de sources diffractantes pour modéliser le phénomène de diffraction. L'amplitude de ces sources est déterminée en résolvant un système linéaire d'équations qui traduit le bilan d'énergie entre toutes les sources acoustiques. Cette méthode est appliquée à des problèmes bi-dimensionnels, et fournit de bons résultats excepté aux frontières géométriques.

Received: 2003-10-14
Accepted: 2004-03-16
Published online: 2004-05-14

DOI: 10.1016/j.crme.2004.03.006

Keywords: Acoustics, Waves, Vibrations, Geometrical Theory of Diffraction (GTD), Diffraction, Radiative transfer, Energy method, High frequency
Mots-clés : Acoustique, Ondes, Vibrations, Théorie Géométrique de la Diffraction (TGD), Diffraction, Transfert radiatif, Méthode énergétique, Hautes fréquences

Author's affiliations:

Emeline Reboul ¹; Alain Le Bot ¹; Joël Perret-Liaudet ¹

¹ LTDS – UMR 5513, École centrale de Lyon, 69134 Ecully cedex, France

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     title = {Introduction of acoustical diffraction in the radiative transfer method},
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Emeline Reboul; Alain Le Bot; Joël Perret-Liaudet. Introduction of acoustical diffraction in the radiative transfer method. Comptes Rendus. Mécanique, Volume 332 (2004) no. 7, pp. 505-511. doi : 10.1016/j.crme.2004.03.006. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.03.006/

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