Variational approach to the closure problem of turbulence theory

CORC > 力学研究所 > 中国科学院力学研究所 > 力学所知识产出(1956-2008)

	Variational approach to the closure problem of turbulence theory
	Qian J
刊名	Physics of Fluids
	1983
卷号	26 期号:8 页码:2098-2104
关键词	CLOSURE LAW, KOLMOGOROFF THEORY, TURBULENT FLOW, VARIATIONAL PRINCIPLES, DAMPING, FOKKER-PLANCK EQUATION, LIOUVILLE EQUATIONS, STATISTICAL MECHANICS
ISSN号	1070-6631
中文摘要	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).
类目[WOS]	Mechanics ; Physics, Fluids & Plasmas
研究领域[WOS]	Mechanics ; Physics
收录类别	SCI
语种	英语
WOS记录号	WOS:A1983RD25000009
公开日期	2009-08-03 ; 2010-08-20
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/39908]
专题	力学研究所_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.