Open Access

ARTICLE

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

Zai You Yan^1,2, 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.

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Keywords

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