Mean-Lagrangian formalism and covariance of fluid turbulence

Taketo Ariki

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


Mean-field-based Lagrangian framework is developed for the fluid turbulence theory, which enables physically objective discussions, especially, of the history effect. Mean flow serves as a purely geometrical object of Lie group theory, providing useful operations to measure the objective rate and history integration of the general tensor field. The proposed framework is applied, on the one hand, to one-point closure model, yielding an objective expression of the turbulence viscoelastic effect. Application to two-point closure, on the other hand, is also discussed, where natural extension of known Lagrangian correlation is discovered on the basis of an extended covariance group.

Original languageEnglish
Article number053102
JournalPhysical Review E
Issue number5
Publication statusPublished - 2017 May 4
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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