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
1. State Key Lab for Disaster Reduction in Civil Eng., Tongji Univ., Shanghai 200092; 2. State Key Lab of Subtropical Building Sci., South China Univ. of Tech., Guangzhou 510640; 3. School of Civil Eng. and Mech., Huazhong Univ. of Sci. and Tech., Wuhan 430074
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.
胡 亮;顾 明;李 黎 . 两类谱表示法模拟风场误差对比分析[J]. , 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. , 2011, 30(5): 6-9.