| 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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| 二维边界层方程的迭代求解 |
| Iterative solution for two-dimensional boundary layer equations |
| 投稿时间：2009-11-27 |
| DOI：10.7511/jslx20103001 |
| 中文关键词: 二维边界层 分析积分迭代法 松弛迭代法 Blasius方程 Falkner-Skan方程 |
| 英文关键词:two-dimensional boundary layer analysis integration iterative method relaxation iterative method Blasius eqation Falkner-Skan equation |
| 基金项目:国家自然科学基金重点项目(10632032);国家自然科学基金(50978162)资助项目. |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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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