| 平面叶栅气动设计的变域变分原理及有限元计算 |
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| 引用本文： | 吴兆春,刘高联,黄典贵. 平面叶栅气动设计的变域变分原理及有限元计算[J]. 汽轮机技术, 2006, 48(2): 95-97,100 |
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| 作者姓名： | 吴兆春 刘高联 黄典贵 |
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| 作者单位： | 上海应用技术学院,环境与能源工程系,200235;上海大学,上海市应用数学和力学研究所,200073;上海大学,上海市应用数学和力学研究所,200073 |
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| 基金项目： | 国家自然科学基金项目(50136030) |
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| 摘 要： | 采用变域变分原理,对以流函数描述的无粘流体流动的亚音速平面叶栅反设计问题进行了理论分析和有限元计算。由于变域变分能将未知形状的几何变量及控制方程结合在一个变分泛函中,使得数学描述简洁、紧凑,且几何变量及控制方程的求解能耦合地进行。采用变分有限元方法计算结果表明,该计算原理具有较高的精度,能获得较为满意的叶栅反设计的结果。
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| 关 键 词： | 平面叶栅反设计 变域变分原理 流函数 |
| 文章编号： | 1001-5884（2006）02-0095-03 |
| 收稿时间： | 2005-11-17 |
| 修稿时间： | 2005-11-17 |
Variable-Domain Variational Finite Element Method Using Stream Function for Inverse Shape Design of Cascades |
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| WU Zhao-chun,LIU Gao-lian,HUANG Dian-gui. Variable-Domain Variational Finite Element Method Using Stream Function for Inverse Shape Design of Cascades[J]. Turbine Technology, 2006, 48(2): 95-97,100 |
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| Authors: | WU Zhao-chun LIU Gao-lian HUANG Dian-gui |
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| Affiliation: | 1 Dept. of Environment and Energy Engineering,Shanghai Institute of Technology,Shanghai 200235,China; 2 Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
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| Abstract: | The Variable-domain variational FEM using stream function is used to design 2-D cascades.The free boundary condition is incorporated into the functionals of variational principles by variable domain variations,which makes it possible to determine numerically by finite elements both the flow field and unknown boundary shape simultaneously.The simulation shows that the method is reliable and applicable. |
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| Keywords: | inverse design variable-domain variational FEM stream function |
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