Variational approach to the closure problem of turbulence theory
文献类型：期刊论文
| 作者 | Qian J
|
| 刊名 | Physics of Fluids
 |
| 出版日期 | 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 |
| 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. |
入库方式： OAI收割
来源：力学研究所
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