Constitutive theory of inhomogeneous turbulent flow based on two-scale Lagrangian formalism

Taketo Ariki

doi:10.1063/1.5094590

Constitutive theory of inhomogeneous turbulent flow based on two-scale Lagrangian formalism

Taketo Ariki

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

A self-consistent closure theory is developed for inhomogeneous turbulent flow, which enables systematic derivations of the turbulence constitutive relations without relying on any empirical parameters. The double Lagrangian approach based on the mean and fluctuation velocities allows us to describe a wide variety of correlations in a consistent manner with both Kolmogorov's inertial-range scaling and general-covariance principle.

Original language	English
Article number	06510
Journal	Physics of Fluids
Volume	31
Issue number	6
DOIs	https://doi.org/10.1063/1.5094590
Publication status	Published - 2019 Jun 1
Externally published	Yes

ASJC Scopus subject areas

Condensed Matter Physics

Access to Document

10.1063/1.5094590

Cite this

@article{e12245ec19914b299656ebdf39b398e9,

title = "Constitutive theory of inhomogeneous turbulent flow based on two-scale Lagrangian formalism",

abstract = "A self-consistent closure theory is developed for inhomogeneous turbulent flow, which enables systematic derivations of the turbulence constitutive relations without relying on any empirical parameters. The double Lagrangian approach based on the mean and fluctuation velocities allows us to describe a wide variety of correlations in a consistent manner with both Kolmogorov's inertial-range scaling and general-covariance principle.",

author = "Taketo Ariki",

note = "Funding Information: The author has greatly benefited from continuous communication with Professor Fujihiro Hamba since the author{\textquoteright}s Ph.D. student days in The University of Tokyo. This work was supported by JSPS KAKENHI Grant No. (S) 16H06339. The author currently belongs to the Department of Aerospace Engineering, Tohoku University, Japan. Publisher Copyright: {\textcopyright} 2019 Author(s).",

year = "2019",

month = jun,

day = "1",

doi = "10.1063/1.5094590",

language = "English",

volume = "31",

journal = "Physics of Fluids",

issn = "1070-6631",

publisher = "American Institute of Physics Publising LLC",

number = "6",

}

TY - JOUR

T1 - Constitutive theory of inhomogeneous turbulent flow based on two-scale Lagrangian formalism

AU - Ariki, Taketo

N1 - Funding Information: The author has greatly benefited from continuous communication with Professor Fujihiro Hamba since the author’s Ph.D. student days in The University of Tokyo. This work was supported by JSPS KAKENHI Grant No. (S) 16H06339. The author currently belongs to the Department of Aerospace Engineering, Tohoku University, Japan. Publisher Copyright: © 2019 Author(s).

PY - 2019/6/1

Y1 - 2019/6/1

N2 - A self-consistent closure theory is developed for inhomogeneous turbulent flow, which enables systematic derivations of the turbulence constitutive relations without relying on any empirical parameters. The double Lagrangian approach based on the mean and fluctuation velocities allows us to describe a wide variety of correlations in a consistent manner with both Kolmogorov's inertial-range scaling and general-covariance principle.

AB - A self-consistent closure theory is developed for inhomogeneous turbulent flow, which enables systematic derivations of the turbulence constitutive relations without relying on any empirical parameters. The double Lagrangian approach based on the mean and fluctuation velocities allows us to describe a wide variety of correlations in a consistent manner with both Kolmogorov's inertial-range scaling and general-covariance principle.

UR - http://www.scopus.com/inward/record.url?scp=85067069222&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85067069222&partnerID=8YFLogxK

U2 - 10.1063/1.5094590

DO - 10.1063/1.5094590

M3 - Article

AN - SCOPUS:85067069222

VL - 31

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 6

M1 - 06510

ER -

Constitutive theory of inhomogeneous turbulent flow based on two-scale Lagrangian formalism

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this