Mean-Lagrangian formalism and covariance of fluid turbulence

Taketo Ariki
Phys. Rev. E 95, 053102 – Published 4 May 2017

Abstract

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.

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  • Received 5 September 2016

DOI:https://doi.org/10.1103/PhysRevE.95.053102

©2017 American Physical Society

Physics Subject Headings (PhySH)

  1. Techniques
Fluid Dynamics

Authors & Affiliations

Taketo Ariki*

  • Institute of Material and Systems for Sustainability, Nagoya University, Furocho, Chikusa-ku, Nagoya 464-8602, Japan

  • *ariki@fluid.cse.nagoya-u.ac.jp

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Issue

Vol. 95, Iss. 5 — May 2017

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