Turbulence constitutive modeling of the square root of the Reynolds stress

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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)]PFLDAS0031-917110.1063/1.861942 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.

Original languageEnglish
Article number053010
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume92
Issue number5
DOIs
Publication statusPublished - 2015 Nov 11
Externally publishedYes

ASJC Scopus subject areas

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

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