Abstract
For over 20 years, the Rodi (1976) weak-equilibrium assumption has been invoked to derive algebraic Reynolds stress model from its transport equation. In this paper, we describe a more general procedure for formal development of an algebraic Reynolds stress model in non-equilibrium turbulence. In this approach, the departure from equilibrium of anisotropy (b ij ) is parameterized in terms of the departure from equilibrium of relative strain rate (ω = ε/SK, where S is some characteristic strain rate). An algebraic solution of the Reynolds stress anisotropy transport equation in non-equilibrium turbulence is derived analytically for the case of two-dimensional mean flows employing quasilinear pressure-strain correlation model. The present model is compared with the full Reynolds stress closure model against direct numerical simulation (DNS) data and rapid distortion theory (RDT) resulting in good agreement.
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© 1999 Springer Science+Business Media Dordrecht
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Girimaji, S.S. (1999). Development of Algebraic Reynolds Stress Model for Non-Equilibrium Turbulence. In: Salas, M.D., Hefner, J.N., Sakell, L. (eds) Modeling Complex Turbulent Flows. ICASE/LaRC Interdisciplinary Series in Science and Engineering, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4724-8_9
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DOI: https://doi.org/10.1007/978-94-011-4724-8_9
Publisher Name: Springer, Dordrecht
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