A high resolution entrainment model for the convective planetary boundary layer

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Atmospheric Models, Entrainment, High Resolution, Kinetic Equations, Planetary Boundary Layer, Prediction Analysis Techniques, Anisotropy, Convection, Fractals, Inversions, Kinetic Energy

Scientific paper

A theory for a high resolution model day-time growth or entrainment of the convective planetary boundary layer is developed. It is similar to other entrainment models in that it is based upon a parameterized form of the turbulent kinetic energy equation. It differs from other models in that it takes an ensemble averaged view of the actual, convoluted, inversion interface which tops the well-mixed region, rather than a lower resolution, spatially averaged view of the capping inversion and/or mixed layer regions. The theory uses a fractal method to estimate the enhancement of the surface area for an irregularly convoluted, discontinuous interface, while a mixed Lagrangian-Eulerian technique (virtual particle analysis) is developed to determine the thickness. The outcome is a fractal interfacial entrainment (FIE) model which predicts the time evolutions of the mixed layer height, its vertically averaged potential temperature, and the magnitude of the temperature jump across the inversion. The resulting mixed layer growth predictions are consistent with measurements under convective conditions observed during day 33 of the Wangara experiment.

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