RENORMALIZATION-GROUP ANALYSIS OF TURBULENCE
RENORMALIZATION-GROUP ANALYSIS OF TURBULENCE
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DOI：
10.1103/physrevlett.57.1722
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发表时间：
1986-10-06
影响因子：
8.6
通讯作者：
ORSZAG, SA
中科院分区：
文献类型：
--
作者：
YAKHOT, V;ORSZAG, SA
我们发展了流体动力湍流的动态重整化群方法。这一过程使用了动态标度和不变性以及迭代微扰方法，使我们能够计算大尺度(慢)模的输运系数和输运方程。RNG理论不包括任何实验上可调整的参数，它给出了以下重要湍流常数的数值：惯性范围谱的柯尔莫戈洛夫常数CK=1.617；高雷诺数换热的湍流普朗特数PT=0.7179；Batchelor常数BA=1.161；以及偏度因子S3=0.4878。导出了一个微分K模型，在高雷诺数区域，给出了各向同性湍流衰减的代数关系式v=0.0837 k2/，k=O(t−1.3307)，von Karman常数κ=0.372。基于K和ν之间的微分关系，导出了一个当K→0和有限时不发散的微分输运模型。后一种模型在墙壁附近特别有用。
We develop the dynamic renormalization group (RNG) method for hydrodynamic turbulence. This procedure, which uses dynamic scaling and invariance together with iterated perturbation methods, allows us to evaluate transport coefficients and transport equations for the large-scale (slow) modes. The RNG theory, which does not include any experimentally adjustable parameters, gives the following numerical values for important constants of turbulent flows: Kolmogorov constant for the inertial-range spectrumCK=1.617; turbulent Prandtl number for high-Reynolds-number heat transferPt=0.7179; Batchelor constantBa=1.161; and skewness factor¯S3=0.4878. A differentialK-model is derived, which, in the high-Reynolds-number regions of the flow, gives the algebraic relationv=0.0837 K2/, decay of isotropic turbulence asK=O(t−1.3307), and the von Karman constantκ=0.372. A differential transport model, based on differential relations betweenK,, andν, is derived that is not divergent whenK→0 andis finite. This latter model is particularly useful near walls.