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Diffusive representations for the analysis and simulation of flared acoustic pipes with visco-thermal losses

Hélie, Thomas and Matignon, Denis Diffusive representations for the analysis and simulation of flared acoustic pipes with visco-thermal losses. (2006) Mathematical Models and Methods in Applied Sciences, 16 (4). 503-536. ISSN 0218-2025

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Official URL: http://dx.doi.org/10.1142/S0218202506001248

Abstract

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 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.

Item Type:Article
HAL Id:hal-01373407
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Other partners > Ecole nationale supérieure des Télécommunications - ENST (FRANCE)
Other partners > Telecom ParisTech (FRANCE)
Other partners > Université Pierre et Marie Curie, Paris 6 - UPMC (FRANCE)
Other partners > Institut de Recherche et Coordination Acoustique/Musique - IRCAM (FRANCE)
Laboratory name:
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Deposited By: Denis Matignon
Deposited On:28 Sep 2016 08:34

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