| 二维边界层方程的迭代求解 |
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| 引用本文： | 孙雁,钟万勰.二维边界层方程的迭代求解[J].计算力学学报,2010,27(3):385-390. |
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| 作者姓名： | 孙雁 钟万勰 |
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| 作者单位： | 1. 上海交通大学,船舶海洋与建筑工程学院,工程力学系,上海,200240
2. 大连理工大学,工程力学系,大连,116023;上海交通大学,船舶海洋与建筑工程学院,工程力学系,上海,200240 |
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| 基金项目： | 国家自然科学基金重点项目，国家自然科学基金 |
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| 摘 要： | 针对二维边界层方程,提出了分析积分迭代法.首先将该方法应用于Blasius方程和Falkner-Skan方程的求解,数值计算结果稳定,计算精度高;然后对外部有势流不能达到自相似要求、必须二维求解的二维层流边界层问题,在分析积分迭代法中加上计算力学的松弛迭代法,形成了一套有效的算法.数值结果表明该方法用于层流边界层的计算是很有效的.
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| 关 键 词： | 二维边界层 分析积分迭代法 松弛迭代法 Blasius 方程 Falkner-Skan 方程 |
| 收稿时间： | 2009/11/27 0:00:00 |
Iterative solution for two-dimensional boundary layer equations |
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| SUN Yan and ZHONG Wan-xie.Iterative solution for two-dimensional boundary layer equations[J].Chinese Journal of Computational Mechanics,2010,27(3):385-390. |
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| Authors: | SUN Yan and ZHONG Wan-xie |
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| Institution: | Department of Engineering Mechanics, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China;Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, China;Department of Engineering Mechanics, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China |
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| Abstract: | An new analysis integration iterative method is proposed with the two-dimensional boundary layer equations. Firstly, the method is applied to get to the solutions of Blasius equation and Falkner-Skan equation, and the results are stable and accurate. Then for the two-dimensional boundary layer problem, which the outer flow can not be self-similarity, we use the analysis integration iterative method , together with relaxation iterative method, and formulate an effective algorithm. The results show it is very useful to the laminar boundary layer problem. |
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| Keywords: | two-dimensional boundary layer analysis integration iterative method relaxation iterative method Blasius eqation Falkner-Skan equation |
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