A new look at the high frequency boundary element and Rayleigh integral approximations

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

Research output: Contribution to journalConference articlepeer-review

16 Scopus citations


This paper revisits the popular Rayleigh integral approximation, and also considers a second approximation, 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, gearbox, and construction cab. It was concluded that both methods can reliably predict the sound power for many problems but are inaccurate for sound pressure computations.

Original languageEnglish
JournalSAE Technical Papers
StatePublished - 2003
EventNoise and Vibration Conference and Exhibition - Traverse City, MI, United States
Duration: May 5 2003May 8 2003

ASJC Scopus subject areas

  • Automotive Engineering
  • Safety, Risk, Reliability and Quality
  • Pollution
  • Industrial and Manufacturing Engineering


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