Closure of the Two-Point Correlation Equation as a Basis for Reynolds Stress Models
Closure of the Two-Point Correlation Equation as a Basis for Reynolds Stress Models
复制标题
作为雷诺应力模型基础的两点相关方程的闭合
DOI：
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发表时间：
1993
期刊：
影响因子：
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通讯作者：
N. Peters
中科院分区：
文献类型：
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作者：
M. Oberlack;N. Peters
引入了 von Karman-Howarth 方程的闭合模型。该模型适用于各种广泛接受的均质各向同性湍流湍流理论，因为存在柯尔莫哥洛夫的第一和第二相似性假设以及不变理论（Loitsianskiis 和 Birkhoffs 积分的推广）。实验验证以一系列可靠的数据支持该模型，数值计算产生与 EDQNM 理论几乎相同的结果。假设局部各向同性湍流，相关方程的矩展开以修改的形式得出方程中的产生项。的偏差为
$$c_{伐瑞普西隆_1} $$
从 3/2 中可以看出耗散的非局部依赖性。
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. Supposing locally isotropic turbulence a moment expansion of the correlation equation brings out the production term in the e-equation in a modified form. The deviation of
$$c_{varepsilon _1 } $$
from 3/2 emerges from the nonlocal dependence of dissipation.