A statistical theory for inhomogeneous turbulent flow formulated in the mean-Lagrangian coordinates

Taketo Ariki, Fujihiro Hamba

Research output: Contribution to journalConference articlepeer-review

1 Citation (Scopus)

Abstract

An analytical way for investigating the inhomogeneous turbulent flow has been proposed by introducing Lagrangian-like view. The present method is developed based on TSDIA (Two-Scale Direct Interaction Approximation) which is one of the few theoretical works for the inhomogeneous turbulent flow formulated in the Eulerian frame work and has fundamental inconsistency with the general covariance under the coordinate transformation. The present work reached certain success in the following two aspects. First, the algebraic representation for the Reynolds stress derived by the present method has been proved to be generally covariant. Second the algebraic Reynolds stress is in much better agreement with the result of a DNS of the channel flow.

Original languageEnglish
Article number042017
JournalJournal of Physics: Conference Series
Volume318
Issue numberSECTION 4
DOIs
Publication statusPublished - 2011
Externally publishedYes
Event13th European Turbulence Conference, ETC13 - Warsaw, Poland
Duration: 2011 Sep 122011 Sep 15

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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