Applied Scientific Research

, Volume 51, Issue 1–2, pp 533–538 | Cite as

Closure of the two-point correlation Equation as a basis for Reynolds stress models

  • M. Oberlack
  • N. Peters
Chapter VII: Turbulence Modelling And Compressibility Effects


A closure model for the von Kármán-Howarth-Equation is introduced. The model holds for a wide range of well accepted turbulence-theories for homogeneous isotropic turbulence, as there is Kolmogorovs first and second similarity hypothesis and the invariant theory, which is a generalization of Loitsianskiis and Birkhoffs integrals. Experimental verification supports the model in a range of reliable data and numerical calculations produces nearly identical results with the EDQNM theory. Supposing locally isotropic turbulence a moment expansion of the correlation equation brings out the production term in the ε-equation in a modified form. The deviation of\(c_{\varepsilon _1 } \) from 3/2 emerges from the nonlocal dependence of dissipation.

Key words

two-point correlation equation Reynolds-stress models 


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Copyright information

© Kluwer Academic Publishers 1993

Authors and Affiliations

  • M. Oberlack
    • 1
  • N. Peters
    • 1
  1. 1.Institut für Technische MechanikRWTH AachenGermany

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