Closure model for homogeneous isotropic turbulence in the Lagrangian specification of the flow field | Zendy

Makoto Okamura | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Closure model for homogeneous isotropic turbulence in the Lagrangian specification of the flow field

Author(s) -

Makoto Okamura

Publication year - 2018

Publication title -

journal of fluid mechanics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.72

H-Index - 226

eISSN - 1469-7645

pISSN - 0022-1120

DOI - 10.1017/jfm.2018.98

Subject(s) - turbulence , isotropy , closure (psychology) , k epsilon turbulence model , physics , compressibility , homogeneous isotropic turbulence , k omega turbulence model , vector field , dissipation , mechanics , field (mathematics) , flow (mathematics) , material derivative , constant (computer programming) , classical mechanics , mathematical analysis , mathematics , computer science , thermodynamics , direct numerical simulation , quantum mechanics , reynolds number , economics , pure mathematics , market economy , programming language

This paper proposes a new two-point closure model that is compatible with the Kolmogorov $-5/3$ power law for homogeneous isotropic turbulence in an incompressible fluid using the Lagrangian specification of the flow field. A closed set of three equations was derived from the Navier–Stokes equation with no adjustable free parameters. The Kolmogorov constant and the skewness of the longitudinal velocity derivative were evaluated to be 1.779 and $-0.49$ , respectively, using the proposed model. The bottleneck effect was also reproduced in the near-dissipation range.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research