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Special short wave elements for flow acoustics

Astley, R.J. and Gamallo Ponte, P. (2004) Special short wave elements for flow acoustics Computer Methods in Applied Mechanics and Engineering, 194, (2-5), pp. 341-353. (doi:10.1016/j.cma.2004.01.042).

Record type: Article


A numerical formulation based on the Partition of Unity Method (PUM) is proposed for modelling the propagation of short acoustic waves on irrotational mean flows. The method seeks to reduce the pollution error which exists in conventional FE schemes at high frequencies by using a local basis which is enriched by plane wave solutions of the convected Helmholtz equation. Initially the method is demonstrated with reference to a one dimensional model consisting of a variable area converging-diverging duct with mean flow. Next a simple two-dimensional model of a straight duct with uniform flow, is considered. In both cases the accuracy and the conditioning of the numerical solution is investigated for ranges of frequency and Mach number characteristic of aero-engine bypass ducts.

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Published date: 2004
Additional Information: Selected papers from the 11th Conference on The Mathematics of Finite Elements and Applications
Keywords: flow acoustics, partition of unity method, short wave problems


Local EPrints ID: 10407
ISSN: 0045-7825
PURE UUID: 593f3e5b-fbd4-4742-a465-3c9ab14ddd36

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Date deposited: 09 Jun 2005
Last modified: 17 Jul 2017 17:06

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