Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (11): 1463-1475 .doi: https://doi.org/10.1007/s10483-008-1107-1

• Articles • 上一篇    下一篇

应用于非惯性系湍流模拟的扩展内禀旋转张量

黄于宁1;马晖扬2   

  1. 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
  • 收稿日期:2008-06-10 修回日期:2008-08-04 出版日期:2008-11-01 发布日期:2008-11-01
  • 通讯作者: 马晖扬

Extended intrinsic mean spin tensor for turbulence modelling in non-inertial frame of reference

HUANG Yu-ning1;MA Hui-yang2   

  1. 1. State Key Laboratory for Turbulence and Complex Systems,Peking University, Beijing 100871, P. R. China; 2. Department of Physics, Graduate University of the Chinese Academy of Sciences, Beijing 100049, P. R. China
  • Received:2008-06-10 Revised:2008-08-04 Online:2008-11-01 Published:2008-11-01
  • Contact: MA Hui-yang

摘要: 本文研究扩展内禀旋转张量在非惯性系湍流模拟中的作用,特别是对代数雷诺应力湍流模式(如非线性K模式)的重要性。为此,采用几个近年来发展的非线性K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。

关键词: 湍流模拟, 非惯性系, 扩展内禀旋转张量, 代数雷诺应力张量

Abstract: We investigate the role of extended intrinsic mean spin tensor introduced in this work for turbulence modelling in a non-inertial frame of reference. It 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 model. To this end and for illustration of the effect of extended intrinsic spin tensor on turbulence modelling, we examine several recently developed nonlinear K models and compare their performance in predicting the homogeneous turbulent shear flow in a rotating frame of reference with LES data. Our results and analysis indicate that, only if the deficiencies of these models and the like be well understood and properly corrected, may in the near future, more sophisticated nonlinear K models be developed to better predict complex turbulent flows in a
non-inertial frame of reference.

Key words: frame-dependent, algebraic Reynolds stress models, turbulence modelling, non-inertial frame of reference, extended intrinsic mean spin tensor

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