有限体积法求解任意回转面叶栅叶型反问题设计的欧拉方程

以有限体积法为基础，探讨了用θｍ坐标系下积分型Ｅｕｌｅｒ方程求解任意回转面上叶栅反问题的方法，应用这一技术设计叶型，能用较少的机时使型面上气流压力值满足预先给定的值。这种叶型设计方法考虑了任意回转面上旋转角速度、半径变化、流片厚度变化等多种影响因素。文中还详细讨论了其基本方程、数值格式和求解过程，给出了根据给定的压力分布进行静子叶栅和转动叶栅设计的验证算例，结果表明该叶型设计方法是有效的。

Finite Volume Method to Solve Euler Equation for Inverse Problem of Cascade Blade Design on Arbitrary Revolving Stream-Surface

A finite volume method to solve the inverse problem for blade profile design on arbitrary revolving stream surface is described. This technique can be used to design the blade profile with prescribed pressure distribution at the blade wall with little computer time. The revolving speed, radius and the height of stream tube variation can be considered. This paper presents the system of Euler equation to be solved in the curve coordinate, the discretization and the solving process. Two computed results of the cascades in stator and rotor are presented to illustrate the capabilities of the method.