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Simulation of muffler's transmission losses by a homogenized finite element method

Anne-Sophie Bonnet-Ben Dhia 1 Dora Drissi 2 Nabil Gmati 2
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
CNRS - Centre National de la Recherche Scientifique : UMR7231, UMA - Unité de Mathématiques Appliquées, Inria Saclay - Ile de France
2 LAMSIN - Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur
Abstract : In this work, we are interested in the modelling of the acoustic attenuation of exhaust mufflers including perforated ducts, and its numerical computation. The study is worked out in harmonic time regime, for the two-dimensional case. The hole diameter and the center-to-center distance between consecutive holes are supposed of same order, and small compared to the size of the muffler. The formulation is derived by using multiscale techniques and matching the asymptotic expansions. The numerical method couples finite elements in the muffler with modal decomposition in the inlet and the outlet of the duct.
Keywords : Muffler perforated duct Helmholtz equation homogenization finite elements
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Journal articles
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https://hal-ensta-paris.archives-ouvertes.fr//hal-00876248
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Submitted on : Monday, November 4, 2013 - 11:19:47 AM
Last modification on : Wednesday, July 3, 2019 - 10:48:03 AM

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Anne-Sophie Bonnet-Ben Dhia, Dora Drissi, Nabil Gmati. Simulation of muffler's transmission losses by a homogenized finite element method. Journal of Computational Acoustics, World Scientific Publishing, 2004, 12 (3), pp.447-474. ⟨10.1142/s0218396x04002304⟩. ⟨hal-00876248⟩

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