Extensions of Lighthill's acoustic analogy with application to computational aeroacoustics
Extensions of Lighthill's acoustic analogy with application to computational aeroacoustics
Lighthill's aeroacoustic analogy is formulated for bounded domains in a general way that allows pressure-based alternatives to the fluid density as wave variable. The advantage relative to the standard version (Ffowcs Williams & Hawkings 1969 Phil. Trans. R. Soc. A 264, 321–342) is that the equivalent surface source terms needed for boundary value problems do not involve the local density. Difficulties encountered in computational aeroacoustics with standard wave extrapolation procedures, due to advection of density inhomogeneities across the control surface, are thereby avoided. Likewise, in initial-value problems, the equivalent volume source terms that represent initial conditions do not involve the density either. The paper ends with an extension to parallel shear flows, in which a modified aeroacoustic analogy due to Goldstein (Goldstein 2001 J. Fluid Mech. 443, 231–236) is formulated for bounded domains using a similar windowed-variable approach. The results provide a basis for acoustic wave extrapolation from jets and boundary layers, where the control surface cuts through a sheared mean flow.
aeroacoustics, acoustic analogy, initial-value problem, wave extrapolation, thermoacoustics, jet noise
2101-2127
Morfey, C.L.
d5f9a8d0-7d8a-4915-a522-bf49dee111f2
Wright, M.C.M.
b7209187-993d-4f18-8003-9f41aaf88abf
8 September 2007
Morfey, C.L.
d5f9a8d0-7d8a-4915-a522-bf49dee111f2
Wright, M.C.M.
b7209187-993d-4f18-8003-9f41aaf88abf
Morfey, C.L. and Wright, M.C.M.
(2007)
Extensions of Lighthill's acoustic analogy with application to computational aeroacoustics.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 463 (2085), .
(doi:10.1098/rspa.2007.1864).
Abstract
Lighthill's aeroacoustic analogy is formulated for bounded domains in a general way that allows pressure-based alternatives to the fluid density as wave variable. The advantage relative to the standard version (Ffowcs Williams & Hawkings 1969 Phil. Trans. R. Soc. A 264, 321–342) is that the equivalent surface source terms needed for boundary value problems do not involve the local density. Difficulties encountered in computational aeroacoustics with standard wave extrapolation procedures, due to advection of density inhomogeneities across the control surface, are thereby avoided. Likewise, in initial-value problems, the equivalent volume source terms that represent initial conditions do not involve the density either. The paper ends with an extension to parallel shear flows, in which a modified aeroacoustic analogy due to Goldstein (Goldstein 2001 J. Fluid Mech. 443, 231–236) is formulated for bounded domains using a similar windowed-variable approach. The results provide a basis for acoustic wave extrapolation from jets and boundary layers, where the control surface cuts through a sheared mean flow.
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Accepted/In Press date: May 2007
Published date: 8 September 2007
Keywords:
aeroacoustics, acoustic analogy, initial-value problem, wave extrapolation, thermoacoustics, jet noise
Organisations:
Acoustics Group
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Local EPrints ID: 377848
URI: http://eprints.soton.ac.uk/id/eprint/377848
ISSN: 1364-5021
PURE UUID: 86b072cf-5dc2-46a0-9e00-afb8b66b866a
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Date deposited: 24 Jun 2015 11:09
Last modified: 15 Mar 2024 02:47
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Author:
C.L. Morfey
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