Lagrangian dynamics and statistical geometric structure of turbulence
Lagrangian dynamics and statistical geometric structure of turbulence
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DOI：
10.1103/physrevlett.97.174501
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发表时间：
2006-10-27
影响因子：
8.6
通讯作者：
Meneveau, C.
中科院分区：
文献类型：
--
作者：
Chevillard, L.;Meneveau, C.
三维湍流的局部统计和几何结构可以用速度梯度张量的性质来描述。建立了该张量的拉格朗日时间演化的随机模型，其中精确的非线性自拉伸项解释了众所周知的非高斯统计量和几何排列趋势的发展。非局部压力和粘性效应是由流体元件的材料变形历史模型的闭合来解释的。由此产生的随机系统再现了在数值和实验三维湍流中观察到的许多统计和几何趋势，包括异常相对标度。
The local statistical and geometric structure of three-dimensional turbulent flow can be described by the properties of the velocity gradient tensor. A stochastic model is developed for the Lagrangian time evolution of this tensor, in which the exact nonlinear self-stretching term accounts for the development of well-known non-Gaussian statistics and geometric alignment trends. The nonlocal pressure and viscous effects are accounted for by a closure that models the material deformation history of fluid elements. The resulting stochastic system reproduces many statistical and geometric trends observed in numerical and experimental 3D turbulent flows, including anomalous relative scaling.