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Power-Law Scaling of Turbulence Cospectra for the Stably Stratified Atmospheric Boundary Layer
Boundary-Layer Meteorology ( IF 4.3 ) Pub Date : 2020-07-26 , DOI: 10.1007/s10546-020-00545-6
Yu Cheng , Qi Li , Andrey Grachev , Stefania Argentini , Harindra J. S. Fernando , Pierre Gentine

Surface turbulent fluxes provide a key boundary condition for the prediction of weather, hydrology, and atmospheric carbon dioxide. The turbulence cospectrum is assumed to typically follow a −7/3 power-law scaling, which is used for the high-frequency spectral correction of eddy-covariance data. The derivation of this scaling is mostly grounded on dimensional analysis. The dimensional analysis or cospectral budget analyses, however, can lead to alternative cospectral scaling. Here we examine the shape of turbulence cospectra at high Reynolds number and high wavenumbers based on extensive field measurements of wind velocity and temperature in various stably stratified atmospheric conditions. We show that the cospectral scaling deviates from the −7/3 scaling at high wavenumbers in the inertial subrange of the stable atmospheric boundary layer, and appears to follow a −2 power-law scaling. We suggest that −2 power-law scaling is a better alternative for cospectral corrections for eddy-covariance measurements of the stable boundary layer.

中文翻译:

稳定分层大气边界层湍流余谱的幂律标度

地表湍流通量为预测天气、水文和大气二氧化碳提供了关键的边界条件。湍流余谱通常遵循 -7/3 幂律缩放,​​用于涡协方差数据的高频频谱校正。这种缩放的推导主要基于维度分析。然而,维度分析或 cospectral 预算分析可以导致替代 cospectral 缩放。在这里,我们基于对各种稳定分层大气条件下的风速和温度的广泛现场测量,检查了高雷诺数和高波数下湍流余谱的形状。我们表明,在稳定大气边界层的惯性子范围内,高波数下的同谱标度偏离 -7/3 标度,并且似乎遵循 -2 幂律缩放。我们建议 -2 幂律标度是稳定边界层涡协方差测量的共谱校正的更好替代方案。
更新日期:2020-07-26
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