利用静态小波变换的非定常阵风分析与模拟

刘江; 王元

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利用静态小波变换的非定常阵风分析与模拟

更新时间：2025-07-09

- 利用静态小波变换的非定常阵风分析与模拟
- Stationary Wavelet Transform Based Analysis and Simulation of Unsteady Gust
- 西安交通大学学报 2009年43卷第7期页码：74-78
- 作者机构：
  
  西安交通大学能源与动力工程学院,西安,710049
- 作者简介：
- 基金信息：
  
  : 2008-10-13. 作者简介: 刘江(1980-),男,博士生;王元(联系人),男,教授,博士生导师. 基金项目: 国家科技攻关“十五”计划专项经费资助项目(2004BA901A21);新疆维吾尔自治区“十五”攻关重大项目(200833121)
- DOI：
  中图分类号： X169;O357.5
- 网络首发：2009-07-10，
  
  纸质出版：2009
- 稿件说明：
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刘江, 王元. 利用静态小波变换的非定常阵风分析与模拟[J]. 西安交通大学学报, 2009,43(7):74-78.

Stationary Wavelet Transform Based Analysis and Simulation of Unsteady Gust[J]. 2009, 43(7): 74-78.
刘江, 王元. 利用静态小波变换的非定常阵风分析与模拟[J]. 西安交通大学学报, 2009,43(7):74-78. DOI：

Stationary Wavelet Transform Based Analysis and Simulation of Unsteady Gust[J]. 2009, 43(7): 74-78. DOI：

摘要

在塔克拉玛干沙漠风沙环境中进行野外风场定位观测

得到了具有典型非定常特征的输沙阵风.引入静态小波变换分析了阵风小波系数的非高斯分布特征和时间演化规律

针对其时频特征

推导出各尺度小波系数与目标风速谱的能量关系

采用反映湍流间歇性的Log-Poisson级串模型辅助生成小波系数

建立了基于静态小波逆变换的非定常阵风人工生成方法

并可通过调节低频段系数生成任意非定常波动规律.结果表明:自然阵风与Karman风速谱吻合良好

在惯性子区符合湍流-5/3定律

且具有明显的间歇性和局部自相似性; 基于静态小波逆变换法实例模拟人工风速序列

具有与自然阵风类似的湍流统计特征

证实了该方法的有效性.

Abstract

The field measurements were conducted to obtain the unsteady gust with blowing sand in the Taklimakan desert. The stationary wavelet transform is applied to investigate the non-Gaussian distribution characteristics and the temporal evolution of the gust wavelet coefficients. According to the time-frequency characteristics of the signal

the relationship between the wavelet at each scale and the target power spectrum is derived and the Log-Poisson law describing the intermittency of turbulence is employed to yield the wavelet coefficients. A method using the inverse stationary wavelet transform is proposed to generate artificial unsteady gust. Moreover

it is considered that the unsteady fluctuation depends on the wavelet coefficient at the lower frequency section. The results show that the power spectrum of the field gust is in good agreement with the Karman power spectrum and the inertial subrange of-5/3 power law is observed. The gust in the near-surface layer exhibits clearly the intermittency and local self-similarity of turbulence. In addition

the statistic analysis of a simulated example using the inverse stationary wavelet transform and its comparison with natural gust show the validity of the present method.

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Keywords

references

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