Kinetic theory of turbulence modeling: smallness parameter, scaling and microscopic derivation of Smagorinsky model

被引：44

作者：

Ansumali, S

Karlin, IV ^{[1
]}

Succi, S

机构：

[1] Swiss Fed Inst Technol, Dept Mat, CH-8092 Zurich, Switzerland

[2] Swiss Fed Inst Technol, Dept Energy Technol, CH-8092 Zurich, Switzerland

[3] Swiss Fed Inst Technol, Dept Mat, CH-8092 Zurich, Switzerland

[4] RAS, Inst Computat Modeling, Krasnoyarsk, Russia

[5] CNR, Ist Applicaz Calcolo, I-00161 Rome, Italy

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2004年 / 338卷 / 3-4期

关键词：

Boltzmann equation; Navier-Stokes equation; coarse-graining; hydrodynamic limit; subgrid model; turbulence;

D O I：

10.1016/j.physa.2004.02.013

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A mean-field approach (filtering out subgrid scales) is applied to the Boltzmann equation in order to derive a subgrid turbulence model based on kinetic theory. It is demonstrated that the only Smagorinsky type model which survives in the hydrodynamic limit on the viscosity time scale is the so-called tensor-diffusivity model. Scaling of the filter-width with Reynolds number and Knudsen number is established. This sets the first rigorous step in deriving turbulence models from kinetic theory. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：379 / 394

页数：16

共 29 条

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