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跨声速非匀熵全速位方程的有限元数值解(英文)
引用本文:俞守勤,张庆兵. 跨声速非匀熵全速位方程的有限元数值解(英文)[J]. 空气动力学学报, 1991, 0(4)
作者姓名:俞守勤  张庆兵
作者单位:南京航空学院(俞守勤),南京航空学院(张庆兵)
摘    要:
本文改进了传统全速位方程的有限元数值解,既保留了全速位方程简单的优点又考虑了出现激波后流场不是匀熵的特点,对密度和后缘库塔条件进行修正,改善了计算结果。文中给出翼型和机翼的算例,其结果与传统全速位方程的结果相比,激波的位置偏往上游,强度较弱,这个趋势使结果较接近于欧拉方程的解。

关 键 词:跨声速流  有限元数值解  全速位方程数值解  非匀熵流

FINITE ELEMENT METHOD FOR COMPUTING NONISENTROPIC POTENTIAL TRANSONIC FiOW WITH SHOCK WAVES
Yu Shouqin Zhang Qingbing. FINITE ELEMENT METHOD FOR COMPUTING NONISENTROPIC POTENTIAL TRANSONIC FiOW WITH SHOCK WAVES[J]. Acta Aerodynamica Sinica, 1991, 0(4)
Authors:Yu Shouqin Zhang Qingbing
Affiliation:Nanjing Aeronautical Institute
Abstract:
The traditional Galerkin full potential finite element is modified and a nonisentropic potential equation for transonic flow with shock waves is formulated in this paper.In this procedure,the mass densities downstream of the shock and Kutta condition are modified using the entropy jumps across the shock, but it retains the simplicity of the full potential equation.Numerical computations for airfoil and wing are presented. It is demonstrated that the modification improves the results and leads to weaker shocks with position moved upstream.The tendency accords with that the comparison between the Euler equation and full potential equation.
Keywords:finite element method  nonisentropic flow  transonic flow  full potential equation.
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