An Improved Ekman Layer Approximation for Smooth Eddy Diffusivity Profiles

被引：0
作者：
Oskar Parmhed
Igor Kos
Branko Grisogono
机构：
[1] Stockholm University,Department of Meteorology
[2] Croatia Control Ltd.,Aeronautical Meteorological Division
[3] Swedish Defense Research Agency FOI,Department of Geophysics, Faculty of Science
[4] Zagreb University,undefined
来源：
Boundary-Layer Meteorology | 2005年 / 115卷
关键词：
Boundary-layer pumping; Lambert’s W; WKB;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：399 / 407
页数：8
相关论文
共 17 条
  • [1] Berger B.W(1998)The Baroclinic, Variable Eddy Viscosity Ekman Layer. An Approximate Analytical Solution Boundary-Layer Meteorol 87 363-380
  • [2] Grisogono B.(1995)Evidence for an Ekman Balance in the California Current J. Geophys. Res. 100 12727-12748
  • [3] Chereskin T.K.(1995)A Generalized Ekman Layer Profile with Gradually-Varying Eddy Diffusivities’) Quart. J. Roy. Meteorol. Soc. 121 445-453
  • [4] Grisogono B.(2001)Katabatic Flow: Analytic Solution for Gradually Varying Eddy Diffusivities J. Atmos. Sci. 58 3349-3354
  • [5] Grisogono B(2001)A Theory for the Estimation of Surface Fluxes in Simple Katabatic Flows Quart. J. Roy. Meteorol. Soc. 127 2125-2739
  • [6] Oerlemans J.(2002)Justifying the WKB Approximation in Pure Katabatic Flows Tellus. 54 453-462
  • [7] Grisogono B(1970)A Note on the Vertical Structure of the Eddy Exchange Coefficient in the Planetary Boundary Layer J. Atmos. Sci. 27 1213-1215
  • [8] Oerlemans J.(2004)Describing Surface-Fluxes in Katabatic Flow on Breidamerkurjökull, Iceland Quart J. Roy. Meteorol. Soc. 130 1137-1151
  • [9] Grisogono B(2001)An Approximate Analytical Solution for the Baroclinic and Variable Eddy Diffusivity Semi-Geostrophic Ekman Boundary Layer Boundary-Layer Meteorol. 98 361-385
  • [10] Oerlemans J.(2002)The Diurnal Wind Variation in a Variable Eddy Viscosity Semi-Geostrophic Ekman Boundary-Layer model: Analytical Study. Meterol Atmos. Phys. 81 207-217
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