Title

On the elimination of the sweeping interactions from theories of hydrodynamic turbulence

Authors

Authors

E. Gkioulekas

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

Physica D

Keywords

turbulence; local homogeneity; quasi-Lagrangian; sweeping interactions; SMALL-SCALE TURBULENCE; CLASSICAL STATISTICAL DYNAMICS; FULLY-DEVELOPED; TURBULENCE; HIDDEN BRS INVARIANCE; ISOTROPIC TURBULENCE; RENORMALIZATION-GROUP; ENERGY-DISSIPATION; EXACT RESUMMATIONS; FLUID; TURBULENCE; 1ST PRINCIPLES; Mathematics, Applied; Physics, Multidisciplinary; Physics, Mathematical

Abstract

In this paper, we revisit the claim that the Eulerian and quasi-Lagrangian same time correlation tensors are equal. This statement allows us to transform the results of an MSR quasi-Lagrangian statistical theory of hydrodynamic turbulence back to the Eulerian representation. We define a hierarchy of homogeneity symmetries between incremental homogeneity and global homogeneity. It is shown that both the elimination of the sweeping interactions and the derivation of the 4/5-law require a homogeneity assumption stronger than incremental homogeneity but weaker than global homogeneity. The quasi-Lagrangian transformation, on the other hand, requires an even stronger homogeneity assumption which is many-time rather than one-time but still weaker than many-time global homogeneity. We argue that it is possible to relax this stronger assumption and still preserve the conclusions derived from theoretical work based on the quasi-Lagrangian transformation. (c) 2006 Elsevier B.V All rights reserved.

Journal Title

Physica D-Nonlinear Phenomena

Volume

226

Issue/Number

2

Publication Date

1-1-2007

Document Type

Review

Language

English

First Page

151

Last Page

172

WOS Identifier

WOS:000244572500006

ISSN

0167-2789

Share

COinS