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
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
2011
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), .
(doi:10.1260/1475-472X.10.2-3.117).
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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Published date: 2011
Organisations:
Inst. Sound & Vibration Research, Fluid Dynamics & Acoustics Group
Identifiers
Local EPrints ID: 180895
URI: http://eprints.soton.ac.uk/id/eprint/180895
ISSN: 1475-472X
PURE UUID: b55523de-3102-489e-a4d8-e8d1e1b76f28
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Date deposited: 12 Apr 2011 13:28
Last modified: 15 Mar 2024 02:47
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Author:
C.L. Morfey
Author:
C.J. Powles
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