• DOI:10.1063/1.858424
• Corpus ID: 12746676

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

@article{Yakhot1992DevelopmentOT,
  title={Development of turbulence models for shear flows by a double expansion technique},
  author={Victor Yakhot and Steven A. Orszag and Sivagnanam Thangam and Thomas B. Gatski and Charles G. Speziale},
  journal={Physics of Fluids},
  year={1992},
  volume={4},
  pages={1510-1520}
}

• V. Yakhot, S. Orszag, +2 authors C. G. Speziale
• Published 1 July 1992
• Physics
• Physics of Fluids

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≡SK/■) 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.