应用于非惯性系湍流模拟的扩展内禀旋转张量  

The Extended Intrinsic Mean Spin Tensor for Turbulence Modelling in a Non-Inertial Frame of Reference

作　　者：黄于宁[1] 马晖扬[2] 

机构地区：[1]北京大学湍流和复杂系统国家重点实验室,北京100871 [2]中国科学院研究生院物理学院,北京100049

出　　处：《应用数学和力学》2008年第11期1325-1336,共12页Applied Mathematics and Mechanics

摘　　要：研究扩展内禀旋转张量在非惯性系湍流模拟中的作用,特别是对代数Reynolds应力湍流模式(如非线性K-ε模式)的重要性.为此,采用几个近年来发展的非线性K-ε湍流模式模拟旋转坐标系下均匀剪切湍流,并且和大涡模拟的结果进行比较.计算结果和分析表明,需要发展更先进的非线性K-ε模式从而更好地描述非惯性系下的复杂湍流.The role of the extended intrinsic mean spin tensor introduced for turbulence modelling in a non-inertial frame of reference which is described by the Euclidean group of transformations and, in particular, its significance and importance in the approach of the algebraic Reynolds stress modelling, such as in a nonlinear K- epsilon model is investigated. To this end and for illustration of the effect of the extended intrinsic spin tensor on turbulence modelling, several recently developed nonlinear K- epsilon models were examined and their performance in predicting the homogeneous turbulent shear flow in a rotating frame of reference with the LES data was compared. The results and analysis indicate that only if the deficiencies of these models and the like be well understood in detail and be properly corrected, may in the near future more sophisticated nonlinear K- epsilon models be developed to better predict the complex turbulent flows in a non-inertial frame of reference.

关 键 词：湍流模拟 非惯性系 扩展内禀旋转张量 代数Reynolds应力张量 

分 类 号：O357.5[理学—流体力学]