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A mapped finite and infinite partition of unity method for convected acoustic radiation in axisymmetric domains

A mapped finite and infinite partition of unity method for convected acoustic radiation in axisymmetric domains
A mapped finite and infinite partition of unity method for convected acoustic radiation in axisymmetric domains
A mapped infinite partition of unity method is developed to solve frequency domain acoustic applications for convected radiation in axisymmetric domains. The paper presents the formulation and the discretization technique. The partition of unity method is coupled with infinite elements based on the Astley–Leis conjugated formulation. The performances of the method are analysed on two applications: convected propagation in an uniform duct and dipole radiation. The aim of such a method compared to the classical finite element method is to solve shortwave applications with a respectable level of accuracy.
acoustic, simulation, infinite elements, convection, partition unity, frequency domain
0045-7825
4273-4283
Mertens, T.
dd824a76-7dfd-4d0e-9e0d-daf427d0b553
Gamallo, P.
4a10847b-5368-4f60-aab6-19a80b8556c9
Astley, R.J.
cb7fed9f-a96a-4b58-8939-6db1010f9893
Bouillard, Ph.
c2700168-7386-4019-911d-d67a23963776
Mertens, T.
dd824a76-7dfd-4d0e-9e0d-daf427d0b553
Gamallo, P.
4a10847b-5368-4f60-aab6-19a80b8556c9
Astley, R.J.
cb7fed9f-a96a-4b58-8939-6db1010f9893
Bouillard, Ph.
c2700168-7386-4019-911d-d67a23963776

Mertens, T., Gamallo, P., Astley, R.J. and Bouillard, Ph. (2008) A mapped finite and infinite partition of unity method for convected acoustic radiation in axisymmetric domains. Computer Methods in Applied Mechanics and Engineering, 197 (49-50), 4273-4283. (doi:10.1016/j.cma.2008.05.006).

Record type: Article

Abstract

A mapped infinite partition of unity method is developed to solve frequency domain acoustic applications for convected radiation in axisymmetric domains. The paper presents the formulation and the discretization technique. The partition of unity method is coupled with infinite elements based on the Astley–Leis conjugated formulation. The performances of the method are analysed on two applications: convected propagation in an uniform duct and dipole radiation. The aim of such a method compared to the classical finite element method is to solve shortwave applications with a respectable level of accuracy.

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More information

Published date: 15 September 2008
Keywords: acoustic, simulation, infinite elements, convection, partition unity, frequency domain
Organisations: Fluid Dynamics & Acoustics Group

Identifiers

Local EPrints ID: 65188
URI: https://eprints.soton.ac.uk/id/eprint/65188
ISSN: 0045-7825
PURE UUID: e63a653b-b8a3-4215-b487-7af09260cd85

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Date deposited: 04 Feb 2009
Last modified: 13 Mar 2019 20:19

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