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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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| 1,2. College of Naval Architecture and Power, Naval University of Engineering, Wuhan 430033，China |
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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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Received: 24 December 2009
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Corresponding Authors:
ZHOU Qi-dou
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2011, Vol. 30 
