Theory for the single-point velocity statistics of fully developed turbulence

Theory for the single-point velocity statistics of fully developed turbulence
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充分发展的湍流的单点速度统计理论

DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
Rudolf Friedrich
Rudolf Friedrich
中科院分区：
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文献类型：
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作者：
M. Wilczek;Anton Daitche;Rudolf Friedrich

文献摘要

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我们研究了三维充分发展的均匀各向同性湍流中的单点速度概率密度函数（PDF），PDF方程的框架内侧重于偏离高斯性。一个联合的分析和数值分析表明，这些偏差可以量化的动力学量，如压力梯度，外部强迫和能量耗散与速度的相关性研究。一个固定的解决方案的PDF方程在这些数量，并验证了理论的帮助下，直接数值模拟表明次高斯尾部的PDF。
We investigate the single-point velocity probability density function (PDF) in three-dimensional fully developed homogeneous isotropic turbulence within the framework of PDF equations focussing on deviations from Gaussianity. A joint analytical and numerical analysis shows that these deviations may be quantified studying correlations of dynamical quantities like pressure gradient, external forcing and energy dissipation with the velocity. A stationary solution for the PDF equation in terms of these quantities is presented, and the theory is validated with the help of direct numerical simulations indicating sub-Gaussian tails of the PDF.