| 充分发展槽道湍流的小波数值分析 |
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| 引用本文： | 刘宇陆,蒋剑波,邱翔,卢志明.充分发展槽道湍流的小波数值分析[J].计算物理,2005,22(3):197-205. |
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| 作者姓名： | 刘宇陆 蒋剑波 邱翔 卢志明 |
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| 作者单位： | 上海大学,上海市应用数学和力学研究所,上海,200072;上海大学,上海市应用数学和力学研究所,上海,200072;上海大学,上海市应用数学和力学研究所,上海,200072;上海大学,上海市应用数学和力学研究所,上海,200072 |
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| 基金项目： | 国家自然科学基金(项目编号:10272071，10472063)资助项目 |
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| 摘 要： | 数值计算了高斯子波变换Navier Stokes(N-S)方程后得到的积分方程.在利用高斯子波得到的以弯曲度为基本量的无穷域中N-S方程的基础上,得到了有界区域内的以弯曲度为基本量的N-S方程.将此N-S方程看作一个特殊的扩散方程,将压力项与对流项看作是源项,得到一个积分方程.利用特征线法对该方程求解,得到通解.并将所得结果运用于对称槽道湍流和非对称槽道湍流的研究中.将计算与实验所得的平均量与实验结果进行了对比.
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| 关 键 词： | 小波分析 槽道湍流 特征线 统计特征 N-S方程 |
| 文章编号： | 1001-246X(2005)03-0197-009 |
| 收稿时间： | 2004-01-17 |
| 修稿时间： | 2004年1月17日 |
A Numerical Study on Fully Developed Turbulent Flows: A Wavelet Analysis |
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| Liu Yu-lu,JIANG Jian-bo,QIU Xiang,Lu Zhi-ming.A Numerical Study on Fully Developed Turbulent Flows: A Wavelet Analysis[J].Chinese Journal of Computational Physics,2005,22(3):197-205. |
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| Authors: | Liu Yu-lu JIANG Jian-bo QIU Xiang Lu Zhi-ming |
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| Institution: | Shanghai University, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, China |
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| Abstract: | A numerical study on fully developed turbulent flows is conducted by solving the integral Navier-Stokes(N-S)equation with Gaussian wavelet transformation.Gaussian wavelet is used to obtain the N-S equation with flexion as a fundamental quantity in an infinite domain.The (N-S) equation with flexion as a fundamental quantity in a finite domain is shown.The integral N-S equation is regarded as a special diffusion equation and the pressure term,convective term are regarded as source terms.The general solution of the integral equation is obtained with the characteristic method.The results are used to the analysis of channel turbulent flows in asymmetric and symmetric channels.A comparison of the calculated mean statistical quantity with the experimental result is made. |
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| Keywords: | wavelet analysis turbulent channel flow characteristic method statistical properties N-S equations |
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