摘要
本文在文[1]、[2]提供的矩函数变分原理基础上建立了任意旋成面叶栅A类、B类杂交气动命题的变分有限元解法。文中用有限元法对相应的变分原理进行离散,所得非线性代数方程组迭代求解。由解出的矩函数计算流场速度、压力与密度,最后通过积分获得叶片未知边界形状。本文给出的计算结果显示了杂交命题方法的有效性和灵活性,它可以直接用于叶片改型与设计工作。
A variational finite element method for 'A' and 'B' type hybrid-aerodynamic problems on an arbitrary stream sheet of revolution has been developed in this paper based on the variational principles in terms of the moment function established in Ref.[1] and [2].The corresponding variational principles are discretized by finite element method, then the resulting nonlinear system of algebraic equations is solved through iteration to give the distribution of the moment func-tion and the velocity of the whole flow field. Finally, the unknown contour of the blade can be worked out by simple quadrature. The calculation examples presented herein have confirmed the validity and flexibility of the hybrid method in cascades designing and reforming.
出处
《空气动力学学报》
CSCD
北大核心
1989年第3期315-322,共8页
Acta Aerodynamica Sinica
关键词
叶栅
矩函数
叶轮机械
有限元法
cascades, hybrid-aerodynamic problem, moment function, variational finite element method.
