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Acoustic resonances and trapped modes in pipes and tunnels

Hein, Stefan and Koch, Werner (2007) Acoustic resonances and trapped modes in pipes and tunnels. Journal of Fluid Mechanics, 605, pp. 401-428. Cambridge University Press. ISSN 0022-1120.

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Official URL: http://www.jfm.damtp.cam.ac.uk


Acoustic resonances of simple three-dimensional finite-length structures in an infinitely long cylindrical pipe are investigated numerically by solving an eigenvalue problem. To avoid unphysical reflections at the finite grid boundaries placed in the uniform cross-sections of the pipe perfectly matched layer absorbing boundary conditions are applied in the form of the complex scaling method of atomic and molecular physics. Examples of the structures investigated are sound-hard spheres, cylinders, cavities and closed side branches. Several truly trapped modes with zero radiation loss are identified for frequencies below the first cut-off frequency of the pipe. Such trapped modes can be excited aerodynamically by coherent vortices if the frequency of the shed vortices is close to a resonant frequency. Furthermore, numerical evidence is presented for the existence of isolated embedded trapped modes for annular cavities above the first cut-off frequency and for closed side branches below the first cut-off frequency. As applications of engineering interest the acoustic resonances are computed for a ball-type valve and around a simple model of a high-speed train in an infinitely long tunnel.

Item URL in elib:https://elib.dlr.de/51396/
Document Type:Article
Title:Acoustic resonances and trapped modes in pipes and tunnels
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Date:September 2007
Journal or Publication Title:Journal of Fluid Mechanics
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
Page Range:pp. 401-428
Publisher:Cambridge University Press
Keywords:acoustic resonances, trapped modes, perfectly matched layer (PML), pipe, sound-hard spheres and cylinders, cavity, side branches, ball-type valve, high-speed train
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research (old)
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Flight Physics (old)
Location: Göttingen
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > Helicopters
Deposited By: Hein, Dr.-Ing. Stefan
Deposited On:03 Jun 2008
Last Modified:15 Jan 2010 01:45

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