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Numerical simulation of acoustic waveguides for Webster-Lokshin model using diffusive representations

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text
 

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article
 

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document numérique
 

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Titre

Numerical simulation of acoustic waveguides for Webster-Lokshin model using diffusive representations
 

Nom(s)

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

Publication

Jyvaskyla, Finland , 2003
 

Description

Résumé

Acoustic waves travelling in axisymmetric pipes with viscothermal 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 features (e.g. curvature). These functions are computed analytically and involve diffusive 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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Contribution au colloque ou congrès : Waves - International Conference on Mathematical and Numerical Aspects of Wave Propagation Phenomena (INRIA)
 

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Date de la notice

2010-02-25 01:00:00
 

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