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Volume 11, Issue 2
A Low Frequency Model for Acoustic Propagation in a 2D Flow Duct: Numerical Computation

Lauris Joubert & Patrick Joly

DOI: 10.4208/cicp.181209.040111s

Commun. Comput. Phys., 11 (2012), pp. 508-524.

Published online: 2012-12

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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.

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@Article{CiCP-11-508, author = {Lauris Joubert and Patrick Joly}, title = {A Low Frequency Model for Acoustic Propagation in a 2D Flow Duct: Numerical Computation}, journal = {Communications in Computational Physics}, year = {2012}, volume = {11}, number = {2}, pages = {508--524}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.181209.040111s}, url = {http://global-sci.org/intro/article_detail/cicp/7375.html} }
TY - JOUR T1 - A Low Frequency Model for Acoustic Propagation in a 2D Flow Duct: Numerical Computation AU - Lauris Joubert & Patrick Joly JO - Communications in Computational Physics VL - 2 SP - 508 EP - 524 PY - 2012 DA - 2012/12 SN - 11 DO - http://doi.org/10.4208/cicp.181209.040111s UR - https://global-sci.org/intro/article_detail/cicp/7375.html KW - AB -

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.

Lauris Joubert and Patrick Joly. (2012). A Low Frequency Model for Acoustic Propagation in a 2D Flow Duct: Numerical Computation. Communications in Computational Physics. 11 (2). 508-524. doi:10.4208/cicp.181209.040111s
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