正交双复数空间变换与流体问题的边界元

Fluid Boundary Element Method and Orthogonal Transform of Double Complex Variables

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·

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.