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Acoustic transmission in non-uniform ducts with mean flow, part I: The method of weighted residuals

Acoustic transmission in non-uniform ducts with mean flow, part I: The method of weighted residuals
Acoustic transmission in non-uniform ducts with mean flow, part I: The method of weighted residuals
3n this and a companion paper the problem of transmission of sound through non-uniform ducts carrying a high speed subsonic compressible flow is approached using the method of weighted residuals (MWR) in the form of a modified Galerkin method and the finite element method (FEM). The intent of the investigation is to carry out a careful evaluation of these methods in this computationally difficult problem. To this end both MWR and FEM have been limited to in-core computer implementations to generate useful results with relatively modest computational requirements. This paper (Part I) details the MWR formulation and presents numerical results establishing the degree of accuracy of MWR as compared to exact eigenvalue calculations and approximate one dimensional transmission calculations. The comparison of MWR and FEM results is carried out in the companion paper (Part II).

0022-460X
89-101
Eversman, W.
a48e519b-a759-4b3b-b81f-b987d216d027
Astley, R.J.
cb7fed9f-a96a-4b58-8939-6db1010f9893
Eversman, W.
a48e519b-a759-4b3b-b81f-b987d216d027
Astley, R.J.
cb7fed9f-a96a-4b58-8939-6db1010f9893

Eversman, W. and Astley, R.J. (1981) Acoustic transmission in non-uniform ducts with mean flow, part I: The method of weighted residuals. Journal of Sound and Vibration, 74 (1), 89-101. (doi:10.1016/0022-460X(81)90494-6).

Record type: Article

Abstract

3n this and a companion paper the problem of transmission of sound through non-uniform ducts carrying a high speed subsonic compressible flow is approached using the method of weighted residuals (MWR) in the form of a modified Galerkin method and the finite element method (FEM). The intent of the investigation is to carry out a careful evaluation of these methods in this computationally difficult problem. To this end both MWR and FEM have been limited to in-core computer implementations to generate useful results with relatively modest computational requirements. This paper (Part I) details the MWR formulation and presents numerical results establishing the degree of accuracy of MWR as compared to exact eigenvalue calculations and approximate one dimensional transmission calculations. The comparison of MWR and FEM results is carried out in the companion paper (Part II).

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Published date: 8 January 1981

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Local EPrints ID: 166451
URI: https://eprints.soton.ac.uk/id/eprint/166451
ISSN: 0022-460X
PURE UUID: 4b79ef23-91fe-48a0-973c-fe7e1f1cfed7

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Date deposited: 29 Oct 2010 10:12
Last modified: 18 Jul 2017 12:25

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Author: W. Eversman
Author: R.J. Astley

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