On the Relationship between the TKE Dissipation Rate and the Temperature Structure Function Parameter in the Convective Boundary Layer

On the Relationship between the TKE Dissipation Rate and the Temperature Structure Function Parameter in the Convective Boundary Layer
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对流边界层TKE耗散率与温度结构函数参数的关系

DOI:
10.1175/jas-d-19-0274.1
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发表时间:
2020
影响因子:
3.1
通讯作者:
Yabuki, Masanori
Yabuki, Masanori
中科院分区:
地球科学3区
文献类型:
--
作者:
Luce, Hubert;Kantha, Lakshmi;Hashiguchi, Hiroyuki;Doddi, Abhiram;Lawrence, Dale;Yabuki, Masanori

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在稳定分层条件下,湍流动能(TKE)耗散率ε通过浮力频率和所谓的混合效率与温度的结构函数参数相关。对流湍流则不存在类似的关系。本文利用Deardorff反梯度模型,考虑对流条件下非局部热输运的影响,提出了与对流边界层(CBL)中ε和有关的解析表达式。使用配备高频响应传感器的无人机测量2016年6月和2017年6月在白原MU天文台进行的两次野外活动中获得的速度和温度波动,以测试ε与CBL之间的这种关系。CBL案例分析的选择是通过附加传感器(主要是雷达)的辅助测量来辅助的,这些都被描述了。与先前文献结果的比较表明,如果从原位(飞机和无人机)观测数据计算Deardorff模型中与势温θ和垂直速度w方差之比成正比的反梯度项γ,则所提出的关系是有效的,但如果从大涡模拟(LES)结果计算则不成立。这似乎是由于相对于无人机和飞机的原位测量,LES低估了CBL上部和夹带区底部θ的方差的趋势。我们将讨论这种异常现象并探讨其原因。
Under stably stratified conditions, the dissipation rateεof turbulence kinetic energy (TKE) is related to the structure function parameter for temperature, through the buoyancy frequency and the so-called mixing efficiency. A similar relationship does not exist for convective turbulence. In this paper, we propose an analytical expression relatingεandin the convective boundary layer (CBL), by taking into account the effects of nonlocal heat transport under convective conditions using the Deardorff countergradient model. Measurements using unmanned aerial vehicles (UAVs) equipped with high-frequency response sensors to measure velocity and temperature fluctuations obtained during the two field campaigns conducted at Shigaraki MU observatory in June 2016 and 2017 are used to test this relationship betweenεandin the CBL. The selection of CBL cases for analysis was aided by auxiliary measurements from additional sensors (mainly radars), and these are described. Comparison with earlier results in the literature suggests that the proposed relationship works, if the countergradient termγDin the Deardorff model, which is proportional to the ratio of the variances of potential temperatureθand vertical velocityw, is evaluated from in situ (airplane and UAV) observational data, but fails if evaluated from large-eddy simulation (LES) results. This appears to be caused by the tendency of the variance ofθin the upper part of the CBL and at the bottom of the entrainment zone to be underestimated by LES relative to in situ measurements from UAVs and aircraft. We discuss this anomaly and explore reasons for it.
DOI: --
发表时间: 1983
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发表时间: 2019
期刊: Atmosphere
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