| S2流面有旋流动的赝势函数变分原理族 |
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| 引用本文： | 王宏光 刘高联. S2流面有旋流动的赝势函数变分原理族[J]. 空气动力学学报, 1995, 13(2): 166-172 |
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| 作者姓名： | 王宏光 刘高联 |
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| 作者单位： | 华东工业大学，上海大学上海应用数学和力学研究所 |
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| 摘 要： | 本文建立了以赝势函数表示的叶轮机内Ｓ２流面有旋流动的问题和半反问题的变分原理及广义变分原理，从而为Ｓ２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。
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| 关 键 词： | 变分原理 叶轮机械 跨音速流动 势函数 |
Variational Principles for Rotational Flow on S_2 Stream Sheet Using Pseudo-Potential Function |
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| Wang Hongguang. Variational Principles for Rotational Flow on S_2 Stream Sheet Using Pseudo-Potential Function[J]. Acta Aerodynamica Sinica, 1995, 13(2): 166-172 |
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| Authors: | Wang Hongguang |
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| Affiliation: | Wang Hongguang(East china University of Technology)Liu Gaolian(Shanghai University and Shanghai Institute of Applied Mathmatics and Mechanics) |
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| Abstract: | 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 |
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| Keywords: | variatonal principles turbomachinery transonic flow potential function. |
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