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Investigation on the Normal Derivative Equation of Helmholtz Integral Equation in Acoustics

Zai You Yan1,2, Fang Sen Cui2, Kin Chew Hung2
1 Shama Tehchnologies (S) Pte Ltd, Blk 67 Ayer Rajah Crescent #03-01/02, Ayer Rajah Industrial Estate, Singapore 139950
2 Institute of High Performance Computing, 1 Science Park Road, #01-01 The Capricorn Singapore Science Park II, Singapore 117528

Computer Modeling in Engineering & Sciences 2005, 7(1), 97-106. https://doi.org/10.3970/cmes.2005.007.097

Abstract

Taking the normal derivative of solid angles on the surface into account, a modified Burton and Miller's formulation is derived. From which, a more reasonable expression of the hypersingular operator is obtained. To overcome the hypersingular integral, the regularization scheme developed recently is employed. Plane acoustic wave scattering from a rigid sphere is computed to show the correctness of the modified formulation with the regularization scheme. In the computation, eight-nodded isoparametric element is applied.

Keywords

Boundary element method, solid angle, hypersingular integral, Helmholtz integral equation, regularization

Cite This Article

Yan, Z. Y., Cui, F. S., Hung, K. C. (2005). Investigation on the Normal Derivative Equation of Helmholtz Integral Equation in Acoustics. CMES-Computer Modeling in Engineering & Sciences, 7(1), 97–106.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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