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Implementation of the forward-advancing wave expansion method (FWEM) for numerical solution of three dimensional large-scale sound propagation problems
Trinity College Dublin, Department of Mechanical and Manufacturing Engineering, Ireland .
Trinity College Dublin, Department of Mechanical and Manufacturing Engineering, Ireland.
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering. Trinity College Dublin, Department of Mechanical and Manufacturing Engineering, Ireland.ORCID iD: 0000-0003-0176-5358
2007 (English)In: 36th International Congress and Exposition on Noise Control Engineering, INTER-NOISE, 2007, Vol. 7, 4796-4805 p.Conference paper, Published paper (Other academic)
Abstract [en]

In this paper a “one-way” wave based field discretization method for solving the Helmholtz equation in large-scale problems is proposed and is referred to as the Forward Wave Expansion Method (FWEM). The FWEM is derived from a highly efficient discretization procedure based on the interpolation of wave functions known as the Wave Expansion Method (WEM) and computes the propagated sound field by means of an exclusively forward advancing solution. This technique does not require the inversion of large system matrices and thus enables the solution of large scale acoustic problems where backscatter is not of interest. A computationally light model is thus formulated which retains many advantages of WEM. Accurate results were obtained for a free field sound propagation benchmarking problem. The method was also implemented to successfully model some diffraction effects. The FWEM offers a simple, flexible and efficient discretization method to solve the Helmholtz equation for extensive domains with mesh densities as low as 3 nodes per wavelength. This makes the FWEM a promising method for long range sound propagation problems. 

Place, publisher, year, edition, pages
2007. Vol. 7, 4796-4805 p.
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-159531Scopus ID: 2-s2.0-84873955293ISBN: 978-160560385-8 (print)OAI: oai:DiVA.org:kth-159531DiVA: diva2:785476
Conference
36th International Congress and Exposition on Noise Control Engineering, INTER-NOISE, Istanbul, Turkey
Note

QC 20150211

Available from: 2015-02-03 Created: 2015-02-03 Last updated: 2016-08-22Bibliographically approved

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O'Reilly, Ciarán J.

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