IDFT Numerical Simulation Method for Gaussian Rough Surface with Relatively Large Correlation Length

A numerical simulation method based on inverse discrete Fourier transform （IDFT） is presented for gener- ating Gaussian rough surface with a desired autocorrelation function （ACF）. The probability density function of the height distribution of the generated Gaussian surface and the root-mean-square...

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Bibliographic Details
Published in:Transactions of Tianjin University 2015-06, Vol.21 (3), p.216-222
Main Authors: Wang, Tingjian, Wang, Liqin, Zhao, Xiaoli
Format: Article
Language:English
Subjects:
Engineering
Humanities and Social Sciences
IDFT
Mechanical Engineering
multidisciplinary
Science
数值模拟方法
概率密度函数
相关长度
粗糙表面
自相关函数
面具
高斯分布
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Summary:A numerical simulation method based on inverse discrete Fourier transform （IDFT） is presented for gener- ating Gaussian rough surface with a desired autocorrelation function （ACF）. The probability density function of the height distribution of the generated Gaussian surface and the root-mean-square height of the rough surface are also considered. It is found that the height distribution of the generated surface follows the Gaussian distribution, the devia- tion of the root-mean-square height of the modeled rough surface from the desired value is smaller than that of Patir＇s method, and the autocorrelation function of the modeled surface is also in good agreement with the desired autocorre- lation function. Compared with Patir＇s method, the modeled surface generated by the IDFT method is in better agree- ment with the desired autocorrelation function, especially when the correlation length is relatively large.
ISSN:1006-4982
1995-8196
DOI:10.1007/s12209-015-2422-z