Large-scale sweeping of small-scale eddies in turbulence: A filtering approach

被引：5

作者：

Drivas, Theodore D. ^{[1
]}

Johnson, Perry L. ^{[2
]}

Lalescu, Cristian C. ^{[3
]}

Wilczek, Michael ^{[3
]}

机构：

[1] Johns Hopkins Univ, Dept Appl Math & Stat, Baltimore, MD 21218 USA

[2] Johns Hopkins Univ, Dept Mech Engn, Baltimore, MD 21218 USA

[3] Max Planck Inst Dynam & Self Org, D-37077 Gottingen, Germany

来源：

PHYSICAL REVIEW FLUIDS | 2017年 / 2卷 / 10期

基金：

美国国家科学基金会;

关键词：

HYPOTHESIS;

D O I：

10.1103/PhysRevFluids.2.104603

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We present an analysis of the Navier-Stokes equations based on a spatial filtering technique to elucidate the multiscale nature of fully developed turbulence. In particular, the advection of a band-pass-filtered small-scale contribution by larger scales is considered, and rigorous upper bounds are established for the various dynamically active scales. The analytical predictions are confirmed with direct numerical simulation data. The results are discussed with respect to the establishment of effective large-scale equations valid for turbulent flows.

引用

页数：16

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