Closure model for homogeneous isotropic turbulence in the Lagrangian specification of the flow field
Closure model for homogeneous isotropic turbulence in the Lagrangian specification of the flow field
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DOI：
10.1017/jfm.2018.98
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发表时间：
2018-02
影响因子：
3.7
通讯作者：
M. Okamura
中科院分区：
文献类型：
--
作者：
M. Okamura
本文利用流场的拉格朗日规范，提出了不可压缩流体中均匀各向同性湍流的新的两点闭合模型，该模型与Kolmogorov $-5/3$幂律相容。由无可调自由参数的Navier-Stokes方程导出了一个由三个方程组成的闭集。利用该模型计算出纵向速度导数的Kolmogorov常数和偏度分别为1.779和-0.49。在近耗散范围内也出现了瓶颈效应。
This paper proposes a new two-point closure model that is compatible with the Kolmogorov $-5/3$ power law for homogeneous isotropic turbulence in an incompressible fluid using the Lagrangian specification of the flow field. A closed set of three equations was derived from the Navier–Stokes equation with no adjustable free parameters. The Kolmogorov constant and the skewness of the longitudinal velocity derivative were evaluated to be 1.779 and $-0.49$ , respectively, using the proposed model. The bottleneck effect was also reproduced in the near-dissipation range.