Rotation invariant constitutive relation for Reynolds stress structure parameter

作     者：Jinglei XU Zhengguang TU Ning HU 

作者机构：National Key Laboratory of Aircraft EngineSchool of Energy and Power EngineeringBeihang University The 9th Designing of China Aerospace Science Industry Corporation China Academy of Aerospace Aerodynamics 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2015年第36卷第4期

页      面：517-522页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Project supported by the National Natural Science Foundation of China(No.11002014) 

主　　题：direct numerical simulation (DNS) channel flow Reynolds stress consti-tutive relation 

摘      要：A new Reynolds stress constitutive formula is constructed using the first- order statistics of turbulent fluctuations instead of the mean strain rate. It includes zero empirical coefficients. The formula is validated with the direct numerical simulation （DNS） data of turbulent channel flow at Reτ=180. The Reynolds stresses given by the proposed formula agree very well with the DNS results. The good agreement persists even after the multi-angle rotation of the coordinate system, indicating the rotation in- variance of the formula. The autocorrelation of the fluctuating velocity rather than the mean strain rate is close to the essence of the Reynolds stress.