Derivation of a Nonlinear Reynolds Stress Model Using Renormalization Group Analysis and Two-Scale Expansion Technique
Derivation of a Nonlinear Reynolds Stress Model Using Renormalization Group Analysis and Two-Scale Expansion Technique
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DOI：
10.1088/0256-307x/25/2/068
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发表时间：
2008-01
影响因子：
3.5
通讯作者：
Zheng-Feng Liu;Xiao-Hong Wang
中科院分区：
文献类型：
--
作者：
Zheng-Feng Liu;Xiao-Hong Wang
采用Yoshizawa的双尺度展开技术，将波动场围绕各向同性场展开。采用重整化群法计算了低阶展开时波动场的协方差。推导了非线性雷诺应力模型，并对内部湍流常数进行了解析计算。与Yoshizawa提出的紊流剪切流的双尺度直接相互作用近似分析相比，计算简单得多。本文提出的解析模型接近于在复杂湍流数值模拟中广泛应用的Speziale模型。
Adopting Yoshizawa's two-scale expansion technique, the fluctuating field is expanded around the isotropic field. The renormalization group method is applied for calculating the covariance of the fluctuating field at the lower order expansion. A nonlinear Reynolds stress model is derived and the turbulent constants inside are evaluated analytically. Compared with the two-scale direct interaction approximation analysis for turbulent shear flows proposed by Yoshizawa, the calculation is much more simple. The analytical model presented here is close to the Speziale model, which is widely applied in the numerical simulations for the complex turbulent flows.