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

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

doi:10.4271/2003-01-1451

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

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

Mechanical Engineering

Research output: Contribution to journal › Conference article › peer-review

15 Scopus citations

Abstract

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 language	English
Journal	SAE Technical Papers
DOIs	https://doi.org/10.4271/2003-01-1451
State	Published - 2003
Event	Noise and Vibration Conference and Exhibition - Traverse City, MI, United States Duration: May 5 2003 → May 8 2003

ASJC Scopus subject areas

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

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abstract = "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.",

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N2 - 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.

AB - 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.

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

Abstract

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