| 周培源湍流统计理论的新发展 |
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| 引用本文： | 黄永念. 周培源湍流统计理论的新发展[J]. 北京大学学报(自然科学版), 1998, 34(2): 151-158 |
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| 作者姓名： | 黄永念 |
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| 作者单位： | 北京大学湍流研究国家重点实验室，北京大学力学与工程科学系，北京，100871 |
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| 摘 要： | 将周培源教授于50年代提出的轴对称旋涡结构的湍流统计理论进一步推广到非轴对称旋涡结构的情况，并用周培源-萨夫曼平均方法和张量分析给出了计算方向平均的一般公式，从而大大减少了各种关联函数计算的工作量。
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| 关 键 词： | 非轴对称旋涡 方向平均 高阶矩 |
| 收稿时间： | 1997-11-03 |
New Development of Prof. Zhou's Statistical Theory of Turbulence |
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| HUANG Yongnian. New Development of Prof. Zhou's Statistical Theory of Turbulence[J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 1998, 34(2): 151-158 |
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| Authors: | HUANG Yongnian |
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| Affiliation: | State Key Laboratory for Turbulence Research, Department of Mechanics and Engineering Science, Peking University, Beijing, 100871
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| Abstract: | About forty years ago Prof. Zhou and Tsai had suggested a statistical theory of the axisymmetric vortices structure of homogenous isotropic turbulence. Now it was generalized to nonaxisymmetric vortices case. A Zhou-Saffman average method is used to study the statistical average rules. An exact general calculating formula of the orientation average is given. It can decrease the calculating time of the high order correlation functions and moments greatly. |
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| Keywords: | nonaxisymmetric vortices orientation average high order moments |
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