【摘要】 采用三维流函数的定义式,本文推导了在任意曲线坐标系下的三维流函数的主方程。由于两个主方程中各自都包含了两个流函数的二阶偏导数,这给数值求解带来不便。针对三维流函数和其方程特性,将两个流函数方程的差分方程视为同时求解两个流函数的二元一次联立方程,采用相应数值计算方法。通过对算例的试算,表明了该数值处理方法是可行的,这使得三维流函数方法可以很好地适用于叶轮机械三维流场的计算。更多还原

【Abstract】 The principal equations of the three-dimensional stream functions in arbitrary nonortho-gonal curvilinear coordinate system are derived in this paper. Because the two principal equations all include the second-order partial derivatives of both stream functions some difficulties arise in the calculation. Based on the analysis of the stream functions and their principal equations, to overcome the difficulties the discretized equations of these equations are adopted as the simultaneous difference equations of solving two stream functions. The numerical results show that the method is effective and the stream function formulation can be used conveniently in the three-dimensional flow calculations in turbomachenary.更多还原