| Orr-Sommerfeld方程的数值解 |
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| 引用本文： | 王发民.Orr-Sommerfeld方程的数值解[J].计算物理,1985,2(4):489-497. |
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| 作者姓名： | 王发民 |
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| 作者单位： | 西北工业大学数学力学系 |
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| 摘 要： | 本文讨论用有限元求解Orr-Sommerfeld方程的方法。由于选取7阶Hermite多项式为元素的基函数和按照流体在各个区域中的不同物理特性选取元素的网格分布,保证了函数在元素节点处C3连续及计算误差的较好控制,所得的结果比以前较为准确。应用这种方法讨论Plane Poi-seuille流的稳定性问题,求得临界雷诺数Rc=5772.2218,在雷诺数从Rc到R=1010范围内较精确地计算了该流体的中性曲线。
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| 收稿时间： | 1985-05-27 |
ACCURATE SOLUTION OF THE ORR-SOMMERFELD EIGENVALUE EQUATION |
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| Wang Fa-min.ACCURATE SOLUTION OF THE ORR-SOMMERFELD EIGENVALUE EQUATION[J].Chinese Journal of Computational Physics,1985,2(4):489-497. |
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| Authors: | Wang Fa-min |
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| Institution: | Department of Mathematics and Mechanics, Northwestern Polytechnic University |
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| Abstract: | The Orr-Sommerfeld equation is solved numerically using a finite element method and the LR matrix eigenvalue algorithm.The results of great accuracy are obtained, by choosing higher order Hermite polynomials to be basis functions and making element distribution according to the physical character of the flow existed in the region.The method is applied to the stability of plane Poiseuille flowi It is found that the critical Reynolds nnmber is 5772.2218 and, it is computed that the neutral curve in the range of Reynolds number from Rc to 1010 farabove than those obtained before |
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