正交双复数空间变换与流体问题的边界元

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Fluid Boundary Element Method and Orthogonal Transform of Double Complex Variables

Department of Engineering Mechanics, Chongqing University, Chongqing 400044, China

摘要: 在确立特殊的正交双复数空间及正交双复变函数的概念上,建立其相应的运算规则及空间保角变换的概念,并用这些概念,探索了它在流体边界元中的应用前景.研究表明,所建立的概念和特殊表达算符,能够有效地将平面复数的概念扩展至三维空间,并可构成数理应用领域的一个有效工具.
- 正交双复数 /
- 双复变函数空间 /
- 空间保角变换 /
- 流体边界元
Abstract: A concept of orthogonal double complex variables space was put forward, Its corresponding operation rules, the concept of analytic function and conformal transform and its foreground for application of fluid boundary element method are explained. The results indicate that the concept and special mark may develop the plane complex into space, and extensive application in physics is got.
- orthogond double complex variable /
- space of double complex variables /
- space conformal transform /
- boundary element method of fluid

[1]	Wu J C.Boundary element solution of viscous flow problems[A].In:BET Ed.Proceedings of the 3rd International Conference on Boundary Element Technology [C] ,London:Elsever Applied Science,1987,467-473.
[2]	Wang C W,Wu J C.Numerical solution of Navier-Stokes problem using integral representations with series expansions[J].AIAA Journal,1986,(8):1305-1312.
[3]	Mandell M A,Mya J P,Schvede S,et al.Model categories of diagram spectra[J].Proceedings of London Mathematical Society,2001,82(2):72-81.
[4]	Herbert Reismann.Three-dimensional finite inextensional deformation of a beam[J].International Journal of Non-Linear Mechanics,2000,35:157-165.
[5]	梁昆淼.数学物理方法[M].北京:人民出教育版社,1979,4-61.
[6]	华罗庚.高等数学引论[M].北京:科学出版社,1979,190-209.

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