两类谱表示法模拟风场误差对比分析

胡 亮;顾 明;李 黎

振动与冲击 ›› 2011, Vol. 30 ›› Issue (5) : 6-9.

PDF(1347 KB)
PDF(1347 KB)
振动与冲击 ›› 2011, Vol. 30 ›› Issue (5) : 6-9.
论文

两类谱表示法模拟风场误差对比分析

  • 胡 亮1,2; 顾 明1; 李 黎3
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Errors Produced by Original and by POD-Based Spectral Representation Method in Wind Field Simulation: A Comparative Study

  • HU Liang1,2; GU Ming1;LI Li3
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摘要

摘要:对原型和POD型谱表示法模拟多变量正态风场时的随机误差进行了对比分析。给出了原型、POD型谱表示法的风场模拟标准算法,以及使用这套标准算法模拟风场时所产生随机误差的解析计算公式。基于此解析解,以总体随机误差和根方差相对随机误差为标准,比较了两类谱表示法在模拟一个64点简单风场时的随机误差。数值分析结果表明:相对于原型谱表示法,POD型谱表示法的模拟随机误差较小而且空间分布更加均匀,模拟时应优先选用。此外,还研究了频率采样点数对误差的影响;给出了控制模拟随机误差的方法。


Abstract

This paper assessed the errors of the simulation for a stationary Gaussian multi-variate wind process, which is carried out by using the original spectral representation method (OSRM) or the proper orthogonal decomposition-based spectral representation method (PSRM). To begin with, a set of formulas which describe the two types of SRM as well as the close-form stochastic errors produced by them are presented in a standard form. Accordingly, the errors produced by the simulation of a 64-point simplified wind field using the PSRM and OSRM are computed and then compared in terms of relative global spectral stochastic errors and relative stochastic errors of standard deviations. It can be concluded from the numerical example that the errors produced by the PSRM are not only less in total but also distributed to every point more uniformly than the PSRM; thus the PSRM should be preferred to. In addition, the influence of the number of frequency steps on the errors is discussed in detail. Some approaches for relieving the errors are also suggested.

关键词

谱表示法 / 风场模拟 / 误差 / 对比分析

Key words

spectral representation method / wind field simulation / error / comparison

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胡 亮;顾 明;李 黎 . 两类谱表示法模拟风场误差对比分析[J]. 振动与冲击, 2011, 30(5): 6-9
HU Liang;GU Ming;LI Li. Errors Produced by Original and by POD-Based Spectral Representation Method in Wind Field Simulation: A Comparative Study[J]. Journal of Vibration and Shock, 2011, 30(5): 6-9

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