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).


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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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1016/j.cma.2004.01.042
Additional Information: Selected papers from the 11th Conference on The Mathematics of Finite Elements and Applications
ISSNs: 0045-7825 (print)
Related URLs:
Keywords: flow acoustics, partition of unity method, short wave problems

ePrint ID: 10407
Date :
Date Event
Date Deposited: 09 Jun 2005
Last Modified: 16 Apr 2017 23:58
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/10407

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