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arXiv 0910.0957physics.flu-dyn
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有壁剪切流turbulence中速度梯度的统计特性

Statistics of velocity gradients in wall-bounded shear flow turbulence

Thomas Boeck, Dmitry Krasnov, Joerg Schumacher

摘要:

在三维直接数值模拟的基础上,讨论了有壁湍流槽道流动中速度梯度的统计特性。我们的分析集中在局部涡度拟能${\bm ω}^2({\bm x},t)$和能量耗散率$ε({\bm x},t)$的统计特性随离壁距离的增加的趋势上。我们检测到一个敏感的依赖的最大振幅的两个字段(对应于尾部的分布)的光谱分辨率。每个单场的概率密度函数以及它们的联合分布随着离壁的距离的增加而显著变化。最大的波动的速度梯度被发现在对数层。这是在最近的实验中观察到的发夹涡包爆裂到对数区域的协议。

英文摘要:

The statistical properties of velocity gradients in a wall-bounded turbulent channel flow are discussed on the basis of three-dimensional direct numerical simulations. Our analysis is concentrated on the trend of the statistical properties of the local enstrophy ${\bm ω}^2({\bm x},t)$ and the energy dissipation rate $ε({\bm x},t)$ with increasing distance from the wall. We detect a sensitive dependence of the largest amplitudes of both fields (which correspond with the tail of the distribution) on the spectral resolution. The probability density functions of each single field as well as their joint distribution vary significantly with increasing distance from the wall. The largest fluctuations of the velocity gradients are found in the logarithmic layer. This is in agreement with recent experiments which observe a bursting of hairpin vortex packets into the logarithmic region.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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