| 三维非定常可压跨声速有旋流动的统一变域变分理论 |
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| 引用本文： | 何吉欢. 三维非定常可压跨声速有旋流动的统一变域变分理论[J]. 力学季刊, 1999, 20(4): 365-376 |
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| 作者姓名： | 何吉欢 |
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| 作者单位： | 上海大学 上海市应用数学和力学研究所，上海 200072 |
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| 基金项目： | 上海市高等学校青年科学基金 |
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| 摘 要： | 本文利用Ｃｌｅｂｓｃｈ变量，应用半反推法首次建立了三维非定常可压跨声有旋流体的广义变分原理及变分原理族，应用变域变分工具，几乎所有界面条件（包括激波、尾涡面条件等）都转化成了自然边界条件，这给有限元计算带来了很大的方便。
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| 关 键 词： | 非定常流 变分原理 计算流体力学 跨声有旋流动 |
A UNIFIED VARIATIONAL THEORY WITH VARIABLE-DOMAIN FOR 3-D UNSTEADY COMPRESSIBLE ROTATIONAL FLOW |
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| Ji-Huan He. A UNIFIED VARIATIONAL THEORY WITH VARIABLE-DOMAIN FOR 3-D UNSTEADY COMPRESSIBLE ROTATIONAL FLOW[J]. Chinese Quarterly Mechanics, 1999, 20(4): 365-376 |
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| Authors: | Ji-Huan He |
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| Abstract: | By means of semi-inverse method proposed previously by the present author, a generalized variational principle with only 6 independent variables for 3-D unsteady compressible rotational flow with Clebsch variables is successfully formulated. A family of variational principles can be readily obtained by constraint-recovering transformation. From variable-domain variational formula, the matching conditions across all unknown oscilating discontinuities (such as shocks, free surface and free trailing vertex sheets) have been deduced as natural conditions, which are of very convenience when imposing the finite element method. This theory aims at rendering a general, rigorous theoretical basis for the finite element method and other direct variational methods. |
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| Keywords: | Unsteady Flow Variational Principle Finite Element Method Semi-Inverse Method Transonic Rotational Flow Clebsch Variables Lin s Constraints. |
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