A Two-Dimensional Lagrangian Stochastic Dispersion Model for Convective Boundary Layers with Wind Shear |
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| Authors: | A M Reynolds |
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| Institution: | (1) Silsoe Research Institute, Wrest Park, Silsoe, Bedford, MK45 4HS, UK |
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| Abstract: | Rotach, Gryning and Tassone constructed a two-dimensional Lagrangian stochastic model to describe the dispersion of passive tracers in turbulent boundary layers with stabilities ranging from ideally-neutral (w* = 0) to fully-convective (u* = 0). They found that the value of the Kolmogorov constant, C0, as determined by optimizing model agreement with the measured spread of passive tracers, was dependent upon stability. Here, it is shown that the non-uniqueness, associated with satisfaction of the well-mixed condition, can be exploited to construct an alternative version of the model of Rotach et al. for which C0 = 3 is universally applicable over the entire range of stabilities under consideration. This alternative model is shown to be in very close agreement with predictions, obtained in large-eddy simulations, for the dispersion of passive tracers in turbulent boundary layers with stabilities ranging from ideally-neutral to fully-convective. |
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| Keywords: | Boundary layer Dispersion model Non-uniqueness Universality |
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