Variational approach to the closure problem of turbulence theory

doi:10.1063/1.864414

IMECH-IR > 力学所知识产出(1956-2008)

	Variational approach to the closure problem of turbulence theory
	Qian J
发表期刊	Physics of Fluids
	1983
卷号	26 期号:8 页码:2098-2104
ISSN	1070-6631
摘要	A new method is proposed to solve the closure problem of turbulence theory and to drive the Kolmogorov law in an Eulerian framework. Instead of using complex Fourier components of velocity field as modal parameters, a complete set of independent real parameters and dynamic equations are worked out to describe the dynamic states of a turbulence. Classical statistical mechanics is used to study the statistical behavior of the turbulence. An approximate stationary solution of the Liouville equation is obtained by a perturbation method based on a Langevin-Fokker-Planck (LFP) model. The dynamic damping coefficient eta of the LFP model is treated as an optimum control parameter to minimize the error of the perturbation solution; this leads to a convergent integral equation for eta to replace the divergent response equation of Kraichnan's direct-interaction (DI) approximation, thereby solving the closure problem without appealing to a Lagrangian formulation. The Kolmogorov constant Ko is evaluated numerically, obtaining Ko = 1.2, which is compatible with the experimental data given by Gibson and Schwartz, (1963).
关键词	Closure Law Kolmogoroff Theory Turbulent Flow Variational Principles Damping Fokker-planck Equation Liouville Equations Statistical Mechanics
DOI	10.1063/1.864414
收录类别	SCI
语种	英语
WOS记录号	WOS:A1983RD25000009
WOS研究方向	Mechanics ; Physics
WOS类目	Mechanics ; Physics, Fluids & Plasmas
引用统计	被引频次：48[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/39908
专题	力学所知识产出(1956-2008)
推荐引用方式 GB/T 7714	Qian J. Variational approach to the closure problem of turbulence theory[J]. Physics of Fluids,1983,26,8,:2098-2104.
APA	Qian J.(1983).Variational approach to the closure problem of turbulence theory.Physics of Fluids,26(8),2098-2104.
MLA	Qian J."Variational approach to the closure problem of turbulence theory".Physics of Fluids 26.8(1983):2098-2104.

条目包含的文件		下载所有文件
文件名称/大小	文献类型	版本类型	开放类型	使用许可
A470.pdf（533KB）			开放获取	--	浏览下载