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

AIP Publishing - Tập 4 Số 7 - Trang 1510-1520 - 1992
Victor Yakhot1,2, Steven A. Orszag1, Siva Thangam3, Gilmar Mompean2, Charles G. Speziale3
1Applied and Computational Mathematics, Princeton University, Princeton, New Jersey 08544
2NASA Langley Research Center, Hampton, VA (United States)
3Institute for Computer Applications in Science and Engineering Hampton, VA., United States

Tóm tắt

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/■̄) 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.

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AIP Publishing

Tập 4 Số 7

1510-1520

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