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用子波方法研究Rayleigh-Bénard对流温度信号的标度律

傅强 夏克青

傅强, 夏克青. 用子波方法研究Rayleigh-Bénard对流温度信号的标度律[J]. 应用数学和力学, 2002, 23(7): 715-721.
引用本文: 傅强, 夏克青. 用子波方法研究Rayleigh-Bénard对流温度信号的标度律[J]. 应用数学和力学, 2002, 23(7): 715-721.
FU Qiang, XIA Ke-qing. Extended Self Similarity of Passive Scalar in Rayleigh-Bénard Convection Flow Based on Wavelet Transform[J]. Applied Mathematics and Mechanics, 2002, 23(7): 715-721.
Citation: FU Qiang, XIA Ke-qing. Extended Self Similarity of Passive Scalar in Rayleigh-Bénard Convection Flow Based on Wavelet Transform[J]. Applied Mathematics and Mechanics, 2002, 23(7): 715-721.

用子波方法研究Rayleigh-Bénard对流温度信号的标度律

基金项目: 香港特别行政区研究资助局基金资助项目(CUHK319/96P)
详细信息
    作者简介:

    傅强(1965- ),男,教授,博士(njfqhp@jlonline.com).

  • 中图分类号: O359+.1

Extended Self Similarity of Passive Scalar in Rayleigh-Bénard Convection Flow Based on Wavelet Transform

  • 摘要: 采用子波分析方法,对实验中测得的Rayleigh-Bnard对流温度信号 (被动标量)的标度律,从以下两个方面进行了研究:第一方面,直接采用扩展的结构函数(ESS)的公式对温度信号进行了分析,研究结果表明,采用该方法后的标度区域明显比不采用扩展结构函数的标度区域要宽,得到的标度指数与其它实验中得到的温度信号标度指数ξ(q)一致;第二个方面,将A.Arneodo等人对湍流中速度信号提出的基于子波分析的扩展标度公式,推广应用于温度信号,给出了一个描述温度信号的、基于子波分析的扩展标度公式,研究结果表明,提出的建立在子波系数极大模求和基础上的扩展标度公式,也能够比较准确地提取温度信号的标度指数ξ(q) 。
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出版历程
  • 收稿日期:  2001-12-25
  • 修回日期:  2002-04-15
  • 刊出日期:  2002-07-15

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