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A variable transformation approach for boundary element solutions of wave propagation in non-uniform potential flows

A variable transformation approach for boundary element solutions of wave propagation in non-uniform potential flows
A variable transformation approach for boundary element solutions of wave propagation in non-uniform potential flows
A boundary element method in a transformed Taylor-Lorentz space-time is presented to solve sound propagation and scattering in weakly non-uniform subsonic potential flows. Boundary element solutions are conventionally provided for sound propagation and scattering in quiescent media. On the other hand, an effective approach to solve wave propagation in a non-uniform mean flow using boundary element methods has yet to be demonstrated. Although either the Taylor or Lorentz transform being applied separately has been commonly used to provide boundary integral solutions including mean flow effects on wave propagation, in this work a combination of these transformations is proposed. The Taylor-Lorentz transform allows an approximate formulation of the full potential linearized wave equation to be reduced to the standard wave equation in a deformed space-time, where a conventional boundary element method can then be devised. The boundary conditions for the formulation in the transformed space are also presented. Numerical experiments are performed to validate the present method.
0105-175x
748-759
Deutsche Gesellschaft für Akustik
Mancini, S.
bea1b80c-6cba-4e38-8837-c8140e6a8793
Astley, J.
cb7fed9f-a96a-4b58-8939-6db1010f9893
Sinayoko, S.
4ef613be-ccf6-44ea-84e5-8d48ee47d3d2
Gabard, G.
bfd82aee-20f2-4e2c-ad92-087dc8ff6ce7
Tournour, M.
1b9296fb-72e5-479c-aac5-c045bb8be6eb
Mancini, S.
bea1b80c-6cba-4e38-8837-c8140e6a8793
Astley, J.
cb7fed9f-a96a-4b58-8939-6db1010f9893
Sinayoko, S.
4ef613be-ccf6-44ea-84e5-8d48ee47d3d2
Gabard, G.
bfd82aee-20f2-4e2c-ad92-087dc8ff6ce7
Tournour, M.
1b9296fb-72e5-479c-aac5-c045bb8be6eb

Mancini, S., Astley, J., Sinayoko, S., Gabard, G. and Tournour, M. (2016) A variable transformation approach for boundary element solutions of wave propagation in non-uniform potential flows. In Proceedings of the 45th International Congress on Noise Control Engineering: INTER-NOISE 2016. Deutsche Gesellschaft für Akustik. pp. 748-759 .

Record type: Conference or Workshop Item (Paper)

Abstract

A boundary element method in a transformed Taylor-Lorentz space-time is presented to solve sound propagation and scattering in weakly non-uniform subsonic potential flows. Boundary element solutions are conventionally provided for sound propagation and scattering in quiescent media. On the other hand, an effective approach to solve wave propagation in a non-uniform mean flow using boundary element methods has yet to be demonstrated. Although either the Taylor or Lorentz transform being applied separately has been commonly used to provide boundary integral solutions including mean flow effects on wave propagation, in this work a combination of these transformations is proposed. The Taylor-Lorentz transform allows an approximate formulation of the full potential linearized wave equation to be reduced to the standard wave equation in a deformed space-time, where a conventional boundary element method can then be devised. The boundary conditions for the formulation in the transformed space are also presented. Numerical experiments are performed to validate the present method.

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Accepted/In Press date: 4 May 2016
Published date: 21 August 2016
Venue - Dates: Inter-Noise 2016, Germany, 2016-08-21 - 2016-08-24
Organisations: Faculty of Engineering and the Environment

Identifiers

Local EPrints ID: 405175
URI: http://eprints.soton.ac.uk/id/eprint/405175
ISSN: 0105-175x
PURE UUID: 4a2b7fc4-1260-434e-b398-d785aeb32461

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Date deposited: 31 Jan 2017 16:52
Last modified: 06 Oct 2020 22:28

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Contributors

Author: S. Mancini
Author: J. Astley
Author: S. Sinayoko
Author: G. Gabard
Author: M. Tournour

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