A Quasi-Realizable Cubic Low-Reynolds Eddy-Viscosity Turbulence Model with a New Dissipation Rate Equation |
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Authors: | B Merci C De Langhe J Vierendeels E Dick |
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Institution: | (1) Department of Flow, Heat and Combustion Mechanics, Ghent University, Sint-Pietersnieuwstraat 41, B-9000 Gent, Belgium |
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Abstract: | A non-linear relationship of the Reynolds stresses in function of the strain rate and vorticity tensors, with terms up to
third order, is developed. Anisotropies in the normal stresses, influence from streamline curvature or rotation of the reference
frame, and swirl effects are accounted for. The relationship is linked to ak–ε model with a modified transport equation for the dissipation rate. A new low-Reynolds source term is introduced and a model
parameter is written in terms of dimensionless rate-of-strain and vorticity. The model is checked on different realizability
constraints. It is shown that practically all constraints are fulfilled. The model is numerically tested on a fully developed
channel and pipe flow, both stationary and rotating. The plane jet–round jet anomaly is addressed. Finally, the model is applied
to the flow over a backward-facing step. Results are compared with a linear low-Reynolds k–ε model and the shear stress transport model.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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Keywords: | cubic low-Reynolds turbulence model realizability |
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