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(1.中国矿业大学 机电工程学院，江苏 徐州 221116;2.中国矿业大学 理学院;3.中国矿业大学 机电工程学院)
Natural Boundary Element Method for Mixed Problems of Stokes Flow in Exterior Circular Region
(1.College of Mechanical and Electrical Eng., China Univ. of Mining and Technol., Xuzhou 221116, China;2.College of Sci., China Univ. of Mining and Technol.;3.College of Mechanical and Electrical Eng., China Univ. of Mining and Technol.)

Abstract:Aiming at the velocity-pressure mixed boundary problems of Stokes flow in exterior circular region, based on the character of the function of complex variable, the natural boundary element theory and series expanded method，the Poisson integral formula and the natural integral equation were deduced. The subsection linearity element was utilized to discretize the differential problems of the natural integral equation, and then the velocity value on the pressure boundary was computed, the velocity-pressure mixed problem was transferred into velocity boundary value problem. The velocity distribution was calculated by the Poisson integral formulae. The results showed that the velocity distribution by the natural boundary element method was according to the CFD software; the dimensionality of the problem could be reduced by the natural boundary element method, and the matrices of this approach were symmetrical positive ones. When the boundary was a circle especially, the matrices would be circulant, accordingly, the calculating volume was decreased greatly.

 作者 单位 E-mail 彭维红* 中国矿业大学 机电工程学院，江苏 徐州 221116 cnpengweihong@126.com 董正筑 中国矿业大学 理学院 曹国华 中国矿业大学 机电工程学院

Peng Weihong,Dong Zhengzhu,Cao Guohua.Natural Boundary Element Method for Mixed Problems of Stokes Flow in Exterior Circular Region[J].Advanced Engineering Sciences,2010,42(2):107-112.