Accurate calculation of weak singular integrals inboundary element method in moving flows

YANG Ying-chun;ZHOU Qi-dou

Journal of Vibration and Shock ›› 2011, Vol. 30 ›› Issue (3) : 242-245.

PDF(1189 KB)
PDF(1189 KB)
Journal of Vibration and Shock ›› 2011, Vol. 30 ›› Issue (3) : 242-245.
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Accurate calculation of weak singular integrals inboundary element method in moving flows

  • YANG Ying-chun 1; ZHOU Qi-dou 2
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Abstract

The boundary element method (BEM) was usually used to study the acoustic radiation in moving medium. A key issue of this method was how to calculate the weak integrals while the field point approaching the source point. A new integral method was developed to solve this problem. Using this method, the weak integral on the element surface was divided into singular integral and non-singular integral. For the singular part, analytic solution was obtained through rigorous mathematic derivation. As to the non-singular part, the integral was evaluated by numerical quadrature techniques. One of the major advantages of this method was that it could effectively compute the singular integrals with good accuracy.

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Boundary element method / weak integrals / numerical calculation

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YANG Ying-chun;ZHOU Qi-dou . Accurate calculation of weak singular integrals inboundary element method in moving flows[J]. Journal of Vibration and Shock, 2011, 30(3): 242-245
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