A closure model on velocity structure functions in homogeneous isotropic turbulence

doi:10.1007/s10483-017-2274-9

Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (11): 1627-1634.doi: https://doi.org/10.1007/s10483-017-2274-9

A closure model on velocity structure functions in homogeneous isotropic turbulence

Le FANG^1,2, Feng GAO^3,

1. Laboratory of Mathematics and Physics, Ecole Centrale de Pékin, Beihang University, Beijing 100191, China;
2. Co-Innovation Center for Advanced Aero-Engine, Beihang University, Beijing 100191, China;
3. Faculty of Engineering and Physical Sciences, University of Surrey, Guildford GU2 7XH, U.K

收稿日期:2016-10-22 修回日期:2017-05-12 出版日期:2017-11-01 发布日期:2017-11-01
通讯作者: Feng GAO,E-mail:f.gao@surrey.ac.uk E-mail:f.gao@surrey.ac.uk
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 11572025, 11202013, and 51420105008)

A closure model on velocity structure functions in homogeneous isotropic turbulence

Le FANG^1,2, Feng GAO^3,

1. Laboratory of Mathematics and Physics, Ecole Centrale de Pékin, Beihang University, Beijing 100191, China;
2. Co-Innovation Center for Advanced Aero-Engine, Beihang University, Beijing 100191, China;
3. Faculty of Engineering and Physical Sciences, University of Surrey, Guildford GU2 7XH, U.K

Received:2016-10-22 Revised:2017-05-12 Online:2017-11-01 Published:2017-11-01
Contact: Feng GAO E-mail:f.gao@surrey.ac.uk
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 11572025, 11202013, and 51420105008)

摘要/Abstract

摘要：

Closure models started from Chou's work have been developed for more than 70 years, aiming at providing analytical tools to describe turbulent flows in the spectral space. In this study, a preliminary attempt is presented to introduce a closure model in the physical space, using the velocity structure functions as key parameters. The present closure model appears to qualitatively reproduce the asymptotic scaling behaviors at small and large scales, despite some inappropriate behaviors such as oscillations. Therefore, further improvements of the present model are expected to provide appropriate descriptions of turbulent flows in the physical space.

关键词: interfacial crack, crack growth, β=0 approach, critical load, homogeneous isotropic turbulence, structure function, closure model

Abstract:

Key words: homogeneous isotropic turbulence, structure function, interfacial crack, crack growth, β=0 approach, critical load, closure model

中图分类号:

76F55
76F05

Le FANG, Feng GAO. A closure model on velocity structure functions in homogeneous isotropic turbulence[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(11): 1627-1634.

参考文献

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A closure model on velocity structure functions in homogeneous isotropic turbulence

A closure model on velocity structure functions in homogeneous isotropic turbulence

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