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Article Dans Une Revue Acta Acustica united with Acustica Année : 2011

Fast Computation of the Scattering Matrix of Lined Ducts Containing Passive Components

Romain Maréchal
  • Fonction : Auteur
Emmanuel Perrey-Debain
Jean-Michel Ville
  • Fonction : Auteur

Résumé

This paper deals with strategiesfor computing efficiently the propagation ofsound waves in lined ducts containing passive components. In most cases of practical interest, these added acoustics components can be modelled as acoustic cavities which are connected to the duct and can be either purely reactive or dissipative. The assessment of the efficiency of such a system requires a precise knowledge of the acoustic field in the duct. In the present work a new numerical procedure that judiciously exploit the benefit of the FEM and the mode matching approach is presented. First, a set of FE eigenmode are computed in the cavity to produce a numerical impedance matrix connecting the pressure and the acoustic velocity on the duct wall interface. Then an integral representation for the acoustic pressure in the main duct is used. The presence of acoustic liners on the walls of the duct is taken into account via an appropriate modal decomposition of the Green’s function. Typical applications involving Helmholtz resonators and side branch ducts (Herschel-Quincke tubes) are presented. We show that our algorithm allows a very fast and accurate computation of the scattering matrix of such a system with a numerical complexity that grows very mildly with the frequency.
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Dates et versions

hal-01179033 , version 1 (21-07-2015)

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Citer

Romain Maréchal, Emmanuel Perrey-Debain, Jean-Michel Ville, Benoit Nennig. Fast Computation of the Scattering Matrix of Lined Ducts Containing Passive Components. Acta Acustica united with Acustica, 2011, 97 (6), pp.966-973. ⟨10.3813/AAA.918478⟩. ⟨hal-01179033⟩
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