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A Low Frequency Model for Acoustic Propagation in a 2D Flow Duct: Numerical Computation

Published online by Cambridge University Press:  20 August 2015

Lauris Joubert  and
Patrick Joly
Lauris Joubert*
Affiliation:
POEMS, CNRS-INRIA-ENSTA UMR 2706, 32 Boulevard Victor, 75015 Paris, France
Patrick Joly*
Affiliation:
POEMS, CNRS-INRIA-ENSTA UMR 2706, INRIA Rocquencourt, BP105, 78153 Le Chesnay Cedex, France
*
Corresponding author.Email:lauris.joubert@gmail.com
Email address:Patrick.Joly@inria.fr
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Abstract

In this paper we study a low frequency model for acoustic propagation in a 2D flow duct. For some Mach profile flow, we are able to give a well-posedness theorem. Its proof relies on a quasi-explicit expression of the solution which provides us an efficient numerical method. We give and comment numerical results for particular linear, tangent and quadratic profiles. Finally, we give a numerical validation of our asymptotic model.

Keywords

35B3535Q3535C15Acoustics in flowGalbrun’s equationsasymptotic analysisLaplace transform
Type
Research Article
Information
Communications in Computational Physics , Volume 11 , Issue 2 , February 2012 , pp. 508 - 524
Copyright
Copyright © Global Science Press Limited 2012

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References

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