Derivation of a second-order model for Reynolds stress using renormalization group analysis and the two-scale expansion technique
Derivation of a second-order model for Reynolds stress using renormalization group analysis and the two-scale expansion technique
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使用重正化群分析和双尺度展开技术推导雷诺应力二阶模型
DOI：
10.1007/s10409-011-0493-1
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发表时间：
2011-09
影响因子：
3.5
通讯作者：
Lu, Xiao-Xia
中科院分区：
文献类型：
--
作者：
Liu, Zheng-Feng;Wang, Xiao-Hong;Lu, Xiao-Xia
利用Yoshizawa提出的双尺度展开技术，将湍流脉动场展开到各向同性场周围。在低阶双尺度展开下，应用Yakhot-Orszag重整化群方法中的模式耦合近似分析脉动场，对雷诺应力输运方程中的对流项、压力梯度-速度相关项和耗散项等雷诺平均项进行了模拟。两个数值示例：通过后向台阶的湍流流动和旋转通道中充分发展的流动，来检验所提出的二阶模型的效率。对于这两个数值算例，该模型的计算结果与Gibson-Launder（GL）模型相当，比标准k-ε模型的计算结果更好，特别是在计算后台阶流动中的二次流和捕捉由坐标系旋转引起的非对称湍流结构方面。
With the two-scale expansion technique proposed by Yoshizawa, the turbulent fluctuating field is expanded around the isotropic field. At a low-order two-scale expansion, applying the mode coupling approximation in the Yakhot-Orszag renormalization group method to analyze the fluctuating field, the Reynolds-average terms in the Reynolds stress transport equation, such as the convective term, the pressure-gradient-velocity correlation term and the dissipation term, are modeled. Two numerical examples: turbulent flow past a backward-facing step and the fully developed flow in a rotating channel, are presented for testing the efficiency of the proposed second-order model. For these two numerical examples, the proposed model performs as well as the Gibson-Launder (GL) model, giving better prediction than the standardk-ɛmodel, especially in the abilities to calculate the secondary flow in the backward-facing step flow and to capture the asymmetric turbulent structure caused by frame rotation.
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影响因子：
3.5
作者：
Zheng-Feng Liu;Xiao-Hong Wang
通讯作者：
Zheng-Feng Liu;Xiao-Hong Wang
影响因子：
3.7
作者：
J. P. Johnston;Robert M. Halleent;D. K. Lezius
通讯作者：
J. P. Johnston;Robert M. Halleent;D. K. Lezius
影响因子：
2.5
作者：
V. Yakhot;L. Smith
通讯作者：
V. Yakhot;L. Smith
影响因子：
8.6
作者：
YAKHOT, V;ORSZAG, SA
通讯作者：
ORSZAG, SA
影响因子：
3.7
作者：
G. Zahalak;M. Myers
通讯作者：
G. Zahalak;M. Myers