An assessment of the high frequency boundary element and visible element Rayleigh integral approximations

D. W. Herrin, F. Martinus, T. W. Wu, A. F. Seybert

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper revisits the popular Rayleigh integral approximation, and also considers the high frequency boundary element method which is similar to the Rayleigh integral. Both methods are approximations to the boundary integral equation, and can solve problems in a fraction of the time required by the conventional boundary element method. The development of both methods from the Helmholtz integral equation is demonstrated and the differences between the two methods are delineated. Both methods were compared on practical examples including a running engine, and gearbox. Theoretical examples such as a pulsating and oscillating sphere were also considered. It was concluded that both methods can reliably predict the sound power for many problems but are inaccurate for sound pressure computations.

Original languageEnglish
Title of host publicationTurkish Acoustical Society - 36th International Congress and Exhibition on Noise Control Engineering, INTER-NOISE 2007 ISTANBUL
Pages4647-4657
Number of pages11
StatePublished - 2007
Event36th International Congress and Exhibition on Noise Control Engineering, INTER-NOISE 2007 - Istanbul, Turkey
Duration: Aug 28 2007Aug 31 2007

Publication series

NameTurkish Acoustical Society - 36th International Congress and Exhibition on Noise Control Engineering, INTER-NOISE 2007 ISTANBUL
Volume7

Conference

Conference36th International Congress and Exhibition on Noise Control Engineering, INTER-NOISE 2007
Country/TerritoryTurkey
CityIstanbul
Period8/28/078/31/07

ASJC Scopus subject areas

  • Acoustics and Ultrasonics

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