Adaptive, high-order finite-element method for convected acoustics
Adaptive, high-order finite-element method for convected acoustics
An improved finite-element method for predicting sound propagation in nonuniform flows is proposed. Sound waves are described by the linearized potential theory solved in the frequency domain. Solutions are calculated using the p-FEM method with high-order, hierarchic shape functions that results in a drastic improvement in computational efficiency. The memory and time requirements for solving large-scale problems are significantly reduced compared with standard finite-element methods. An additional feature presented in this paper is an adaptive scheme to select the optimal interpolation order in each element so as to achieve a prescribed accuracy. This greatly simplifies the preparation of the numerical model. When performing a series of calculations at different frequencies there is no need to adjust the mesh to maintain a sufficient resolution. Instead the adaptive p-FEM method adjusts the interpolation order automatically to ensure an accurate solution is obtained. The performance of the method is demonstrated for three-dimensional test cases for noise radiation from a turbofan intake. Guidelines for preparing models using this adaptive, high-order approach are also discussed.
3179-3191
Gabard, G.
bfd82aee-20f2-4e2c-ad92-087dc8ff6ce7
Bériot, H.
d73aea9a-8247-493f-9603-e76dc60e99ba
Prinn, A.G.
002e8d99-00a1-487e-a8ec-510c9f703a5b
Kucukcoskun, K.
3d292525-a4d9-4580-a764-01bacccb68c7
1 August 2018
Gabard, G.
bfd82aee-20f2-4e2c-ad92-087dc8ff6ce7
Bériot, H.
d73aea9a-8247-493f-9603-e76dc60e99ba
Prinn, A.G.
002e8d99-00a1-487e-a8ec-510c9f703a5b
Kucukcoskun, K.
3d292525-a4d9-4580-a764-01bacccb68c7
Gabard, G., Bériot, H., Prinn, A.G. and Kucukcoskun, K.
(2018)
Adaptive, high-order finite-element method for convected acoustics.
AIAA Journal, 56 (8), .
(doi:10.2514/1.J057054).
Abstract
An improved finite-element method for predicting sound propagation in nonuniform flows is proposed. Sound waves are described by the linearized potential theory solved in the frequency domain. Solutions are calculated using the p-FEM method with high-order, hierarchic shape functions that results in a drastic improvement in computational efficiency. The memory and time requirements for solving large-scale problems are significantly reduced compared with standard finite-element methods. An additional feature presented in this paper is an adaptive scheme to select the optimal interpolation order in each element so as to achieve a prescribed accuracy. This greatly simplifies the preparation of the numerical model. When performing a series of calculations at different frequencies there is no need to adjust the mesh to maintain a sufficient resolution. Instead the adaptive p-FEM method adjusts the interpolation order automatically to ensure an accurate solution is obtained. The performance of the method is demonstrated for three-dimensional test cases for noise radiation from a turbofan intake. Guidelines for preparing models using this adaptive, high-order approach are also discussed.
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Accepted/In Press date: 15 April 2018
e-pub ahead of print date: 13 July 2018
Published date: 1 August 2018
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Local EPrints ID: 423083
URI: http://eprints.soton.ac.uk/id/eprint/423083
ISSN: 0001-1452
PURE UUID: 7d509a1b-3268-4196-990f-757a022ec930
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Date deposited: 14 Aug 2018 16:30
Last modified: 15 Mar 2024 21:15
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Author:
G. Gabard
Author:
H. Bériot
Author:
A.G. Prinn
Author:
K. Kucukcoskun
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