| 二维跨声速有旋流动反命题的赝势函数变分原理 |
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| 引用本文： | 沈远胜,刘高联. 二维跨声速有旋流动反命题的赝势函数变分原理[J]. 工程热物理学报, 2000, 21(2): 166-169 |
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| 作者姓名： | 沈远胜 刘高联 |
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| 作者单位： | 上海大学、上海市应用数学与力学研究所,上海,200072 |
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| 基金项目： | 国家自然科学基金!59876017 |
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| 摘 要： | 本文以文献［３］所得正命题变分原理为基础，通过对边界项进行变域变分的详细分析，构造出了未知壁面的自然边界条件，推导出了求解反命题的变域变分原理，这些工作为采用有限元求解气动反命题奠定了完密的数学基础。
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| 关 键 词： | 反命题 变分原理 有旋流动 赝势函数 |
| 文章编号： | 0253-231X(2000)02-0166-04 |
| 修稿时间： | 1999-12-09 |
VARIATIONAL PRINCIPLE FOR INVERSE PROBLEM OF 2-D TRANSONIC ROTATIONAL FLOW USING PSEUDO-POTENTIAL FUNCTION |
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| SHEN Yuansheng,LIU Gaolian. VARIATIONAL PRINCIPLE FOR INVERSE PROBLEM OF 2-D TRANSONIC ROTATIONAL FLOW USING PSEUDO-POTENTIAL FUNCTION[J]. Journal of Engineering Thermophysics, 2000, 21(2): 166-169 |
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| Authors: | SHEN Yuansheng LIU Gaolian |
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| Affiliation: | SHEN Yuansheng,LIU Gaolian(Shanghai University, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, China) |
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| Abstract: | On the basis of the variational principles for direct problem in Ref.[3], we extend the results of Ref.[3] to the inverse problem of 2-D transonic rotational flow. By applying the variational theory with variable-domain, all boundary conditions including those on the unknown walls are converted into natural ones. The present work establishes a firm mathematical basis for solving the aerodynamic inverse problem by finite elements. |
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| Keywords: | inverse problem variational principle rotational flow pseudo-potential function |
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