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Improved multimodal method for the acoustic propagation in waveguides with finite wall impedance

Simon Félix 1 Agnes Maurel 2 Jean-François Mercier 3
3 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 address the problem of acoustic propagation in waveguides with wall impedance, or Robin, boundary condition. Two improved multimodal methods are developed to remedy the problem of the low convergence of the series in the standard modal approach. In the first improved method, the series is enriched with an additional mode, which is thought to be able to restore the right boundary condition. The second improved method consists in a reformulation of the expansions able to restore the right boundary conditions for any truncation, similar to polynomial subtraction technique. Surprisingly, the first improved method is found to be the most efficient. Notably, the convergence of the scattering properties is increased from N−1 in the standard modal method to N−3 in the reformulation and N−5 in the formulation with a supplementary mode. The improved methods are shown to be of particular interest when surface waves are generated near the impedance wall.
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https://hal.inria.fr/hal-01235285
Contributor : Jean-Francois Mercier Connect in order to contact the contributor
Submitted on : Sunday, November 29, 2015 - 9:53:22 PM
Last modification on : Tuesday, September 28, 2021 - 5:13:18 PM

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Simon Félix, Agnes Maurel, Jean-François Mercier. Improved multimodal method for the acoustic propagation in waveguides with finite wall impedance. Wave Motion, Elsevier, 2015, 54, pp.10. ⟨10.1016/j.wavemoti.2014.11.007⟩. ⟨hal-01235285⟩

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