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arXiv 2005.04958physics.flu-dynphysics.geo-ph
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对流近地层turbulence中速度和温度脉动的持续性分析

Persistence analysis of velocity and temperature fluctuations in convective surface layer turbulence

Subharthi Chowdhuri, Tamás Kalmár-Nagy, Tirtha Banerjee

摘要:

持续性被定义为波动场的局部值在切换到另一个状态之前保持在特定状态一定时间的概率。持久性的概念已经被发现有许多不同的实际应用,从非平衡统计力学金融动力学的时间尺度分布在湍流和更多。在这项研究中,我们进行了详细的统计特性的持久性概率密度函数(PDF)的对流边界层的表面层的速度和温度波动的分析,使用现场实验数据集。结果表明,在小于积分尺度的时间尺度上,湍流速度和温度脉动的持续PDF呈现明显的幂律行为,与自相似涡旋级联机制有关.此外,我们还表明,非高斯温度波动的影响只在那些尺度大于积分尺度,持久性PDF偏离幂律和指数下降。在强对流条件下,持续时间大于积分尺度的负温度波动事件的平均时间尺度约等于积分尺度的两倍。然而,随着稳定性,这个平均时间尺度逐渐减小到几乎等于近中性条件下的积分尺度。对于长时间的正温度涨落事件,无论稳定性如何,其平均时间尺度都大致等于积分时间尺度。

英文摘要:

Persistence is defined as the probability that the local value of a fluctuating field remains at a particular state for a certain amount of time, before being switched to another state. The concept of persistence has been found to have many diverse practical applications, ranging from non-equilibrium statistical mechanics to financial dynamics to distribution of time scales in turbulent flows and many more. In this study, we carry out a detailed analysis of the statistical characteristics of the persistence probability density functions (PDFs) of velocity and temperature fluctuations in the surface layer of a convective boundary layer, using a field-experimental dataset. Our results demonstrate that for the time scales smaller than the integral scales, the persistence PDFs of turbulent velocity and temperature fluctuations display a clear power-law behaviour, associated with self-similar eddy cascading mechanism. Moreover, we also show that the effects of non-Gaussian temperature fluctuations act only at those scales which are larger than the integral scales, where the persistence PDFs deviate from the power-law and drop exponentially. Furthermore, the mean time scales of the negative temperature fluctuation events persisting longer than the integral scales are found to be approximately equal to twice the integral scale in highly convective conditions. However, with stability this mean time scale gradually decreases to almost being equal to the integral scale in the near neutral conditions. Contrarily, for the long positive temperature fluctuation events, the mean time scales remain roughly equal to the integral scales, irrespective of stability.

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