| 大气边界层湍流多尺度分形特征的研究 |
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| 作者姓名： | Li Xin Hu Fei Liu Gang Hong Zhongxiang |
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| 作者单位： | LiXin，Hu Fei Liu Gang and Hong Zhongxiang LAPC，Institute of Atmospheric Physics，Chinese Academp of Sciences，Beijing 100029 |
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| 基金项目： | This research is supported by the Key Project of National Natural Science Foundation of China (No.
40035010 |
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| 摘 要： | 运用离散正交小波变换将湍流信号分解为不同尺度，计算其分数维。考察其分数维的变化得出：随着分解层次得增加，提取湍流信号得低频部分趋于简单光滑，分数维不断减小，高频部分呈现复杂，分数维趋于定值，平均为1．70左右。说明大气边界层湍流信号在某些尺度上，存在明显的自相似性特征。
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| 关 键 词： | 离散小波 分维数 多尺度 湍流信号 |
Multi-scale Fractal Characteristics of Atmospheric Boundary-Layer Turbulence |
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| Li Xin,Hu Fei,Liu Gang,Hong Zhongxiang.Multi-scale Fractal Characteristics of Atmospheric Boundary-Layer Turbulence[J].Advances in Atmospheric Sciences,2001,18(5):787-792. |
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| Authors: | Li Xin Hu Fei Liu Gang and Hong Zhongxiang |
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| Institution: | LAPC, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029,LAPC, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029,LAPC, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029,LAPC, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029 |
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| Abstract: | The turbulence data are decomposed to multi-scales and its respective fractal dimensions are computed. The conclusions are drawn from investigating the variation of fractal dimensions. With the level of decomposition increasing, the low-frequency part extracted from the turbulence signals tends to be sim ple and smooth, the dimensions decrease; the high-frequency part shows complex, the dimensions are fixed, about 1.70 on the average, which indicates clear serf-similarity characteristics. |
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| Keywords: | Discrete wavelet Fractal dimension Multi-scale Turbulence data |
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