Algebraic Nonlocal Transition Modeling of Laminar Separation Bubbles Using k−ω Turbulence Models

Abstract : Algebraic transitional extensions for the accurate computation of laminar separation bubbles are developed for use with k − ω models. The transitional model, based on integral boundary-layer parameters and transition criteria, introduces streamwise-variable weighting of the production terms in the k − ω equations and delay of the shear-stress-limiter activation. Calibration to fit available DNS data yields satisfactory results for a flat-plate reference case, for both skin-friction and velocity profiles. It is shown that the model can be adapted to different k − ω variants by appropriate calibration of coefficients. The model is then validated for two airfoil test cases, for both very low and higher Reynolds numbers, a NACA 0012 airfoil at chord-based Reynolds number Re_c=10e5 and angle-of-attack α=10.55 deg and an S809 airfoil at Re_c=2e6 and α=1 deg. For both application cases, comparison with available data is satisfactory.
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Luis Bernardos, François Richez, Vincent Gleize, Georges Gerolymos. Algebraic Nonlocal Transition Modeling of Laminar Separation Bubbles Using k−ω Turbulence Models. AIAA Journal, American Institute of Aeronautics and Astronautics, 2019, 57 (2), pp.553-565. ⟨10.2514/1.J057734⟩. ⟨hal-02053213⟩

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