Abstract
We present some algebraic and numerical simulations of the stable boundary layer. We also discuss the problem of the existence of a critical Richardson number (Ri), beyond which the turbulence is suppressed. We compare the results of a second-order algebraic model with those of a third-order numerical model and, to this purpose, numerical simulations of a wind-tunnel flow, which is characterized by various Richardson numbers, were performed. As far as the second-order model is concerned, solutions, for the Richardson number greater than any critical value, can be obtained by modifying the time scales of the second-order equation pressure correlation terms in order to account for a buoyancy damping factor. We show that using a third-order model allows the same results (no critical Richardson number) to be obtained without modifications to the time scales. It is suggested that the non-locality, accounted for by the third-order moments, could allow the turbulence to persist also for Ri > 1.
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Ferrero, E., Quan, L. & Massone, D. Turbulence in the Stable Boundary Layer at Higher Richardson Numbers. Boundary-Layer Meteorol 139, 225–240 (2011). https://doi.org/10.1007/s10546-010-9581-1
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DOI: https://doi.org/10.1007/s10546-010-9581-1