快速求解叶栅流动的边界元方法

本文利用边界元方法，通过ｋｒｉｃｈｈｏｆｆ变换将描述叶栅流动的控制方程转换成线性方程。并将广义ｋ－Ｊ条件与边界积分方程联立求解，避免了非线性项和叶片出气角的迭代计算。完成了一种快速求解任意迥转面叶栅流场的计算程序，实用表明与其它数值方法及实验结果符合较好，具有快带、简明、实用的特点。

A Fast Calculation for Solving the Cascade Flowsby Boundary Element Method

The boundary element method is a new type of numerical method. The main advantage of themethod is the reduction by one of the dimension of the problem under consideration.Thus considerablesavins in the data input and computer CPU time required to run can be achieved.In this paper a boundary element method is used to solve the 2 dimensional, Steady, incompress-ible potential cascade flows on arbitrary surface. The governing equations are linearization by Krich-hoff change. The boundary intergral equations are solved with the generalized K-J condition. So theangie can be gotten directly.By this method the flowfields parameters of a compressor easeade and a turbine eascade are com-puted. The convergence of the solution is good and the accuracy is high. The results have a good a-greement with the experiment and the computation ones. It shows that boundary element method is aneffective, convenient, simple one and particularly approprite to using in the engineering design.