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Iterative solutions of the three-dimensional Helmholtz equation using the wave expansion method for high frequency acoustic scattering problems
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
Trinity College Dublin, Department of Mechanical and Manufacturing Engineering, Ireland.
Trinity College Dublin, Department of Mechanical and Manufacturing Engineering, Ireland .
2007 (English)In: 36th International Congress and Exposition on Noise Control Engineering, INTER-NOISE, 2007, Vol. 7, 4788-4795 p.Conference paper, Published paper (Other academic)
Abstract [en]

Modelling sound propagation over large domains presents severe challenges with respect to computational requirements. In general, direct solutions of system equations resulting from the full field discretization of many three-dimensional problems of practical interest cannot be attempted. The present study investigates iterative solutions for solving a Three-Dimensional Helmholtz equation. The discretization of the Helmholtz equation is done by a Wave Based Finite Difference scheme known as the Wave Expansion Method (WEM). The WEM requires only 2-3 nodes per wavelength to obtain accurate solutions which offers a potential for major improvement in efficiency compares to conventional techniques such as the Finite Element/Finite Difference approaches which require around 8-10 nodes per wavelength. The solver employed here is the standard Bi-Conjugate Gradient Stabilized (Bi-CGSTAB) algorithm. Results are presented for high frequency acoustic scattering problems occurring in aircrafts. Investigations are also carried out to check the effectiveness of the standard preconditioning strategies such as the Incomplete LU decomposition with drop tolerance method. The influence of the scatterer is also studied in this paper.

Place, publisher, year, edition, pages
2007. Vol. 7, 4788-4795 p.
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-159530Scopus ID: 2-s2.0-84873972145ISBN: 978-160560385-8 (print)OAI: oai:DiVA.org:kth-159530DiVA: diva2:785475
Conference
36th International Congress and Exposition on Noise Control Engineering, INTER-NOISE, Istanbul, Turkey
Note

QC 20150213

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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