| 应用变域变分有限元法解平面叶栅反命题 |
| |
| 引用本文： | 李红,陈池,李孝伟,刘高联.应用变域变分有限元法解平面叶栅反命题[J].上海力学,2004,25(4):439-443. |
| |
| 作者姓名： | 李红 陈池 李孝伟 刘高联 |
| |
| 作者单位： | [1]上海大学，应用数学和力学研究所，上海，200072 [2]上海大学，上海市应用数学和力学研究所，上海200072 |
| |
| 基金项目： | 国家自然科学基金(50136030) |
| |
| 摘 要： | 反命题作为一种可变(未知)边界问题近年来得到了广泛的研究。本文给出了亚声速平面叶栅反命题计算的势函数变域变分有限元解法。变域变分通过把可变边界结合在变分泛函中，使其与求解流场的控制方程结合起来，从而使可变边界求解和流场分析可以完全耦合进行。本文针对亚声速平面叶栅的反命题，根据泛函的驻值必要条件，介绍了变域变分有限元方法的求解过程，最后给出了两个数值算例。这两个算例均采用四节点矩形单元的插值基函数，第一个算例用于检验程序的可靠性，第二个算例设计了一个给定叶面马赫数分布的叶型，并与试验结果进行对照。
|
| 关 键 词： | 叶栅 变域变分有限元 反问题 |
| 文章编号： | 0254-0053(2004)04-439-5 |
| 修稿时间： | 2003年12月22 |
Variable Domain Variational Finite Element Method for Shape Design Inverse Problem of Cascades |
| |
| LI Hong,CHEN Chi,LI Xiao wei,LIU Gao lian.Variable Domain Variational Finite Element Method for Shape Design Inverse Problem of Cascades[J].Chinese Quarterly Mechanics,2004,25(4):439-443. |
| |
| Authors: | LI Hong CHEN Chi LI Xiao wei LIU Gao lian |
| |
| Abstract: | Inverse problem, as a kind of free (unknow) boundary problem, attracts extensive research. The Variabledomain variational FEM is used to design 2 D subsonic cascades. The free boundary condition is incorporated into the functionals of variational principles by variable domain variational calculus, which makes it possible to calculate both the flow field and unknown boundary (airfoil shape) simultaneously. Based on the functional stationary condition, the variable domain variational FEM for shape design of cascades was introduced. Two numerical examples were given to validate the present method. The first shows that the method is reliable. Blades with prescribed distributions of Mach number was calculated in the second sample problem and compared with the result of examination. |
| |
| Keywords: | cascades variable domain variational FEM inverse problem |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
