摘要
本文建立了以赝势函数表示的叶轮机内Ｓ＿２流面有旋流动的正问题和半反问题的变分原理及广义变分原理，从而为Ｓ＿２流面有旋流动（特别是含激波的跨声速流动）提供一个简单的数学变分形式，作为变分有限元解法和各种变分直接解法的理论基础。
Variational principles and generalized variational princi-ples in terms of pseudo-potential function for semi-inverse and directproblems on S_2 stream sheet are presented.These new formulations forrotational flow(especially the transonic roational flow with shocks)arephysically self-consistent and computationaly simple.This paper aims atproviding a broad and sound theoretical foundation for the finite elementmethod(FEM)and various direct variational methods of rotational flow
出处
《空气动力学学报》
CSCD
北大核心
1995年第2期166-172,共7页
Acta Aerodynamica Sinica
关键词
变分原理
叶轮机械
跨音速流动
势函数
variatonal principles,turbomachinery,transonic flow,potential function.
