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Green's functions in computational aeroacoustics

Green's functions in computational aeroacoustics
Green's functions in computational aeroacoustics
The theory of Green's functions for the wave and Helmholtz equations is examined with particular attention to their use in aeroacoustics for the extrapolation of acoustic wavefields from numerical flow simulations. In a new synthesis that permits straightforward generalization of previously published results, spatial and temporal windowing functions are employed to provide equivalent-source expressions to account for both initial and boundary conditions. Detailed results describe the transformation of both source terms and Green's functions to take account of uniform subsonic mean flow, and expressions are given for free-field Green's functions, both with and without flow, in time, frequency and wavenumber domains. Aworked example illustrates the non-uniqueness of the Green's function for a simple one-dimensional bounded problem
1475-472X
117-160
Morfey, C.L.
d5f9a8d0-7d8a-4915-a522-bf49dee111f2
Powles, C.J.
7566be27-f1fe-4ea0-aca3-3aef19cb72de
Wright, M.C.M.
b7209187-993d-4f18-8003-9f41aaf88abf
Morfey, C.L.
d5f9a8d0-7d8a-4915-a522-bf49dee111f2
Powles, C.J.
7566be27-f1fe-4ea0-aca3-3aef19cb72de
Wright, M.C.M.
b7209187-993d-4f18-8003-9f41aaf88abf

Morfey, C.L., Powles, C.J. and Wright, M.C.M. (2011) Green's functions in computational aeroacoustics. International Journal of Aeroacoustics, 10 (2/3), 117-160. (doi:10.1260/1475-472X.10.2-3.117).

Record type: Article

Abstract

The theory of Green's functions for the wave and Helmholtz equations is examined with particular attention to their use in aeroacoustics for the extrapolation of acoustic wavefields from numerical flow simulations. In a new synthesis that permits straightforward generalization of previously published results, spatial and temporal windowing functions are employed to provide equivalent-source expressions to account for both initial and boundary conditions. Detailed results describe the transformation of both source terms and Green's functions to take account of uniform subsonic mean flow, and expressions are given for free-field Green's functions, both with and without flow, in time, frequency and wavenumber domains. Aworked example illustrates the non-uniqueness of the Green's function for a simple one-dimensional bounded problem

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More information

Published date: 2011
Organisations: Inst. Sound & Vibration Research, Fluid Dynamics & Acoustics Group

Identifiers

Local EPrints ID: 180895
URI: https://eprints.soton.ac.uk/id/eprint/180895
ISSN: 1475-472X
PURE UUID: b55523de-3102-489e-a4d8-e8d1e1b76f28

Catalogue record

Date deposited: 12 Apr 2011 13:28
Last modified: 18 Jul 2017 12:00

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