城市湍流中频谱能量传递的小波分析

Wanting Liu, G. E. Lau, K. Ngan
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引用次数: 1

摘要

将正交小波应用于立方体建筑阵列上的湍流。转移谱依赖于尺度和空间位置,表征从一个尺度到另一个尺度的非线性能量转移。利用大涡模拟,将尺度间能量传递分解为离散模态,并与常用的傅立叶谱进行比较。空间变异性用标准偏差或双光谱来量化。光谱能量传递的小波分解表明,惯性亚层和外层的能量都是由大尺度级联到小尺度的。在粗糙子层中也有能量后向散射的迹象,如尺度滤波后的重建误差所示。基于不同高度的城市湍流,讨论了小波基的选择。这项工作与多尺度城市冠层特征的发展有关,该特征旨在模拟区域和城市尺度之间的能量转移。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Wavelet Analysis Of Spectral Energy Transfers In Urban Turbulence
Orthogonal wavelets are applied to turbulent flow over a cubical building array. The transfer spectrum, which depends on scale and spatial location, characterises nonlinear energy transfers from one scale to another. Using large-eddy simulation, the interscale energy transfer is decomposed into discrete modes and comparisons made with the usual Fourier spectrum. Spatial variability is quantified with the standard deviations or dual spectra. Wavelet decomposition of the spectral energy transfer shows that energy is cascaded from large to small scales in both the inertial sublayer and outer layer. There is also indication of energy backscatter in the roughness sublayer as shown by the scale-filtered reconstruction error. Based on the urban turbulent flow at various heights, the choice of wavelet basis is also discussed. This work is relevant to the development of multiscale urban canopy characterizations that seek to model the energy transfers between regional and urban scales.
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