| 圆管O—S方程的Chebyshev多项式方法 |
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| 引用本文： | 王香蕊 詹杰民. 圆管O—S方程的Chebyshev多项式方法[J]. 中山大学学报(自然科学版), 1998, 37(5): 15-18 |
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| 作者姓名： | 王香蕊 詹杰民 |
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| 作者单位： | 中山大学应用力学与工程系 |
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| 摘 要： | 采用一般形式的Ｃｈｅｂｙｓｈｅｖ多项式展开方法,对圆管Ｐｏｉｓｅｕｉｌｅ流的Ｏ－Ｓ方程进行数值模拟．发现所有特征值的虚部都小于零,因此,验证圆管Ｐｏｉｓｅｕｉｌｅ流对于轴对称的小扰动来说是线性稳定的,结果还表明应用Ｃｈｅｂｙｓｈｅｖ多项式在计算结果精度方面有较大的优越性．
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| 关 键 词： | 流动稳定性 O－S方程 Chebyshev多项式 |
Chebyshev Polynomial Method in Solving the Stability O S Equation of Pipe Flow |
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| Wang Xiangrui Zhan Jiemin Zhang Diming Wan Zhuopei. Chebyshev Polynomial Method in Solving the Stability O S Equation of Pipe Flow[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 1998, 37(5): 15-18 |
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| Authors: | Wang Xiangrui Zhan Jiemin Zhang Diming Wan Zhuopei |
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| Affiliation: | Wang Xiangrui Zhan Jiemin Zhang Diming Wan Zhuopei |
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| Abstract: | The O S equation is solved numerically for pipe Poiseuille flow by using the Chebyshev polynomial method. All the eigenvalues are proved to be negative and it is shown that the circular Poiseuille flow is stable with axisymmetric infinitesimal distrubances. The numerical results are of high accuracy. |
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| Keywords: | flow stability O S equation Chebyshev polynomial |
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