Closure of the Two-Point Correlation Equation in Physical Space as a Basis for Reynolds Stress Models
Closure of the Two-Point Correlation Equation in Physical Space as a Basis for Reynolds Stress Models
复制标题
作为雷诺应力模型基础的物理空间两点相关方程的闭合
DOI：
--
复制
发表时间：
1993
期刊：
影响因子：
--
通讯作者：
N. Peters
中科院分区：
文献类型：
--
作者：
M. Oberlack;N. Peters
本文介绍了一种冯·卡门-豪沃思方程的封闭模型。该模型适用于广泛接受的均匀各向同性湍流的湍流理论，因为存在Kolmogorov的第一和第二相似性假设以及不变理论，这是Loitsianskiis和Birkhoffs积分的推广。实验验证支持该模型在一系列可靠的数据和数值计算产生几乎相同的结果与EDQNM理论。该模型可推广到任意湍流的相关方程。假设局部各向同性湍流，相关方程的矩展开以修正的形式引出e方程中的产生项。可以表明，从3/2的偏差出现从耗散的非局部依赖。e方程中的耗散项导致了参数ε ε与描述各向同性湍流衰减规律的基本参数的耦合。
A closure model for the von Karman-Howarth-Equation is introduced. The model holds for a wide range of well accepted turbulence theories for homogeneous isotropic turbulence, as there is Kolmogorovs first and second similarity hypothesis and the invariant theory, which is a generalization of Loitsianskiis and Birkhoffs integrals. Experimental verification supports the model in a range of reliable data and numerical calculations produces nearly identical results with the EDQNM theory. The model could be extended to the correlation equation for arbitrary turbulent flows. Supposing locally isotropic turbulence a moment expansion of the correlation equation brings out the production term in the e-equation in a modified form. It could be shown that the deviation of ce₁ from 3/2 emerges from the nonlocal dependence of dissipation. The dissipation term in the e-equation leads to a coupling of the parameter ce₂ with basic parameters describing the decay law of isotropic turbulence.