Calculation of Singular Integral for Helmholtz Boundary Integral Equation in Acoustics
ZHAO Zhi-gao, HUANG Qi-bai (College of Mechanical Science and Engineering of Huazhong University of Science and Technology,Wuhan 430074)
This paper presents a non- isoparametric transformatio n which can transformation surface to cube, the singularity (O(1/r)) will eliminated by coordinate transformation twice. Simultaneously, the Cauchy singularity (O(1/r22)) also can be eliminated via coord inate transformation and calculation of?r/?n, and the proving process is given in this paper in details. The method presented by this paper provides us a very simple way to computer the singular integral of Helmholtz boundary integral equation and to program in computer.