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Diffusive Representations for Analyzing and Simulating Flared Acoustic Pipes with Visco-thermal Losses

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article
 

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Titre

Diffusive Representations for Analyzing and Simulating Flared Acoustic Pipes with Visco-thermal Losses
 

Nom(s)

Helie, Thomas (auteur)
 
Matignon, Denis (auteur)
 

Publication

2006
 

Description

Résumé

Acoustic waves travelling in axisymmetric pipes with visco-thermal losses at the wall obey a Webster-Lokshin model. Their simulation may be achieved by concatenating scattering matrices of elementary transfer functions associated with nearly constant parameters (e.g. curvature). These functions are computed analytically and involvediffusive pseudo-differential operators, for which we have representation formula and input-output realizations, yielding direct numerical approximations of finite order. The method is based on some involved complex analysis.
 

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Article paru dans : Mathematical Models and Methods in Applied Sciences vol. 16 n°4
 

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Date de la notice

2010-02-25 01:00:00
 

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