Wind and Structures

  • 제29권6호
  • /
  • Pages.389-403
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  • 2019
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  • 1226-6116(pISSN)
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  • 1598-6225(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Dimension-reduction simulation of stochastic wind velocity fields by two continuous approaches

  • Liu, Zhangjun (School of Civil Engineering and Architecture, Wuhan Institute of Technology) ;
  • He, Chenggao (College of Civil Engineering & Architecture, China Three Gorges University) ;
  • Liu, Zenghui (School of Civil Engineering and Architecture, Wuhan Institute of Technology) ;
  • Lu, Hailin (School of Civil Engineering and Architecture, Wuhan Institute of Technology)
  • 투고 : 2019.01.22
  • 심사 : 2019.06.25
  • 발행 : 2019.12.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this study, two original spectral representations of stationary stochastic fields, say the continuous proper orthogonal decomposition (CPOD) and the frequency-wavenumber spectral representation (FWSR), are derived from the Fourier-Stieltjes integral at first. Meanwhile, the relations between the above two representations are discussed detailedly. However, the most widely used conventional Monte Carlo schemes associated with the two representations still leave two difficulties unsolved, say the high dimension of random variables and the incompleteness of probability with respect to the generated sample functions of the stochastic fields. In view of this, a dimension-reduction model involving merely one elementary random variable with the representative points set owing assigned probabilities is proposed, realizing the refined description of probability characteristics for the stochastic fields by generating just several hundred representative samples with assigned probabilities. In addition, for the purpose of overcoming the defects of simulation efficiency and accuracy in the FWSR, an improved scheme of non-uniform wavenumber intervals is suggested. Finally, the Fast Fourier Transform (FFT) algorithm is adopted to further enhance the simulation efficiency of the horizontal stochastic wind velocity fields. Numerical examplesfully reveal the validity and superiorityof the proposed methods.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China

This work was supported by the National Natural Science Foundation of China (Grant Nos. 51978543, 51778343 and 51278282). These financial supports are gratefully acknowledged. Ph.D. Candidate Zixin Liu is greatly appreciated for her constructive discussion and comment on the research.

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