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An Improved Ekman Layer Approximation for Smooth Eddy Diffusivity Profiles |
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| Authors: | |
| Institution: | (1) Department of Meteorology, Stockholm University, S-106 91 Stockholm, Sweden;(2) Aeronautical Meteorological Division, Croatia Control Ltd., Zagreb – Airport, Croatia;(3) Present address: Swedish Defense Research Agency FOI, SE-147 25 Tumba, Sweden;(4) Present address: Department of Geophysics, Faculty of Science, Zagreb University, Croatia |
| Abstract: | The Ekman boundary-layer model is extended analytically for a gradually varying eddy diffusivity K(z) ≥ 0, z ≥ 0. A solution for the Ekman layer is provided having similar structure to the constant-K case; that is, exponentially decaying sine functions for the two horizontal wind components. The analytical asymptotic solution compares well with its numerical counterpart for various K(z). The result can be useful in theoretical studies such as Ekman pumping, for efficient estimation of the Ekman layer profiles in various analyses with near-neutral stratifications, or for a rapid initialization of mesoscale models. |
| Keywords: | Boundary-layer pumping Lambert’ s W WKB |
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