Development of turbulence models for shear flows by a double expansion technique

V. Yakhot, S. A. Orszag, S. Thangam, T. B. Gatski, C. G. Speziale

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Abstract

Turbulence models are developed by supplementing the renormalization group (RNG) approach of Yakhot and Orszag [J. Sci. Comput. 1, 3 (1986)] with scale expansions for the Reynolds stress and production of dissipation terms. The additional expansion parameter (η=SK̄/ε̄) is the ratio of the turbulent to mean strain time scale. While low-order expansions appear to provide an adequate description for the Reynolds stress, no finite truncation of the expansion for the production of dissipation term in powers of η suffices - terms of all orders must be retained. Based on these ideas, a new two-equation model and Reynolds stress transport model are developed for turbulent shear flows. The models are tested for homogeneous shear flow and flow over a backward facing step. Comparisons between the model predictions and experimental data are excellent.

Original languageEnglish
Pages (from-to)1510-1520
Number of pages11
JournalPhysics of Fluids A
Volume4
Issue number7
DOIs
StatePublished - 1992

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