求解叶轮机粘性流场的再生解析数值方法  

A RESTORING ANALYTIC NUMERICAL METHOD FOR SOLUTION OF VISCOUS FLOW FIELD IN TURBINE

作　　者：张池平[1] 冯国泰[1] 崔明根[1] 

机构地区：[1]哈尔滨工业大学 [2]哈尔滨工业大学数学系

出　　处：《航空动力学报》1994年第3期271-273,共3页Journal of Aerospace Power

基　　金：国家自然科学基金

摘　　要：应用再生核方法求解叶轮机粘性流场是一种新颖的解析数值方法，它可以解决计算中的存贮、计算速度和精度问题。本文给出了用再生核方法求解叶轮机粘性流场的思路和方法，以及如何在曲线坐标系中应用再生核方法，并给出了流函数积分方程的求解过程。最后对平面扩压管道进行了数值试验，结果与有关文献是吻合的。A new restoring analytic numerical method based on application of the method of restoring nucleus is developed for solution of viscous flow field in turbine.It makes the problems of storage,speed and accuracy in calculation easy to be solved.This paper offers ideas and methodology of application the method of restoring nucleus to solving viscous flow field in turbine,as well as in curvilinear coordinate system,and demonstrates the procedure of solving flow function integral equations.Finally,a numerical experiment for the two dimensional cascade viscous flow mentioned in reference 1 by the aid of this method has been performed and the results are consistent with the data in reference.1.

关 键 词：叶轮机 粘性流动 数值计算 

分 类 号：TK472.5[动力工程及工程热物理—动力机械及工程]