Lagrangian and Eulerian time correlations in turbulence
Lagrangian and Eulerian time correlations in turbulence
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DOI：
10.1063/1.858747
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发表时间：
1993-11
影响因子：
4.6
通讯作者：
Y. Kaneda
中科院分区：
文献类型：
--
作者：
Y. Kaneda
对高雷诺数湍流中小时间差的拉格朗日和欧拉两时速度相关QL和QE进行了动力学分析。短时分析产生了所谓的欧拉相关QE的随机扫描模型近似的改进。基于演绎拉格朗日重整化近似（LRA），导出了惯性子范围内拉格朗日相关QL的拉格朗日频谱估计，该估计与短时间分析一致。利用LRA预测的能谱，还得到了与欧拉和拉格朗日时间微尺度有关的一些无量纲常数的估计。
A dynamical analysis is made of the Lagrangian and Eulerian two‐time velocity correlations QL and QE for small time difference in turbulence at very high Reynolds number. The short‐time analysis yields a refinement of the so‐called random sweeping model approximation for the Eulerian correlation QE. An estimate of the Lagrangian frequency spectrum of the Lagrangian correlation QL in the inertial subrange is derived on the basis of a deductive Lagrangian renormalized approximation (LRA), which is consistent with the short‐time analysis. Estimates of some nondimensional constants associated with the Eulerian and Lagrangian time microscales are also obtained by making use of the energy spectrum predicted by the LRA.