Modeling high-order statistics in the turbulent Ekman layer |
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| Authors: | Scott B Waggy Alan Hsieh |
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| Institution: | Department of Aerospace Engineering Sciences, University of Colorado Boulder, Boulder, CO, 80309USA. |
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| Abstract: | Results from a direct numerical simulation (DNS) of the neutral and unstable turbulent Ekman layer at a Reynolds number of 1000 were used to evaluate turbulence closure models. For the neutrally stratified Ekman layer, the higher-order moments of velocity were examined and the accuracy of a kurtosis model was assessed. For the unstable Ekman layer, the analysis of higher-order moments was extended to temperature-velocity correlations. Model coefficients were optimised using DNS data and it was shown that the optimised models accurately captured the distributions of all fourth-order moments. These low-Reynolds number results can be extrapolated to higher Reynolds numbers to parameterise turbulence in other flow fields with rotational effects such as the atmospheric boundary layer. |
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| Keywords: | Ekman layer modeling higher-order statistics |
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