Turbulence constitutive modeling of the square root of the Reynolds stress

Taketo Ariki
Phys. Rev. E 92, 053010 – Published 11 November 2015

Abstract

A methodology for turbulence constitutive modeling is discussed on the basis of the square-root tensor of the Reynolds stress. The present methodology can satisfy the realizability condition for the Reynolds stress proposed by Schumann [Phys. Fluids 20, 721 (1977)] in a more general manner than the conventional methodologies. The definition and uniqueness of the square-root tensor have been discussed, and its boundary condition has been properly obtained consistently with that of the Reynolds stress. Examples of possible constitutive models of both tensor-expansion and transport-equation types have been proposed.

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  • Received 15 June 2015
  • Revised 19 October 2015

DOI:https://doi.org/10.1103/PhysRevE.92.053010

©2015 American Physical Society

Authors & Affiliations

Taketo Ariki*

  • Institute of Industrial Science, University of Tokyo Komaba 4-6-1, Meguro-ku, Tokyo, Japan

  • *Present address: EcoTopia Science Institute, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, Japan, ariki@fluid.cse.nagoya-u.ac.jp

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Vol. 92, Iss. 5 — November 2015

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