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), 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.
|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|
|Keywords:||flow acoustics, partition of unity method, short wave problems|
|Subjects:||T Technology > TJ Mechanical engineering and machinery
Q Science > QA Mathematics
T Technology > TL Motor vehicles. Aeronautics. Astronautics
Q Science > QC Physics
|Divisions:||University Structure - Pre August 2011 > Institute of Sound and Vibration Research > Fluid Dynamics and Acoustics
|Date Deposited:||09 Jun 2005|
|Last Modified:||06 Aug 2015 02:13|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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