Parameterizations of the daytime friction velocity,temperature scale,and upslope flow over gently inclined terrain in calm synoptic conditions |
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| Authors: | Zhanhai Zhang Mingyu Zhou Sharon Zhong Donald H Lenschow Qing Wang |
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| Institution: | Key Laboratory for Polar Science, Polar Research Institute of China, Shanghai 200136;
State Key Laboratory of Atmospheric Boundary Layer Physics and Atmospheric Chemistry,
Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029;Key Laboratory for Polar Science, Polar Research Institute of China, Shanghai 200136;
State Key Laboratory of Atmospheric Boundary Layer Physics and Atmospheric Chemistry,
Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029;Department of Geography, Michigan State University, East Lansing, MI 48824-111, USA;National Center for Atmospheric Research, Boulder, CO 80307, USA;Department of Meteorology, Naval Postgraduate School, Monterey, CA 93943, USA |
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| Abstract: | A set of new parameterizations for the friction velocity and temperature scale over gently
sloped terrain and in calm synoptic conditions are theoretically derived. The friction velocity is
found to be proportional to the product of the square root of the total accumulated heating in the
boundary layer and the sinusoidal function of the slope angle, while the temperature scale is
proportional to the product of the boundary layer depth, the sinusoidal function of the slope angle
and the potential temperature gradient in the free atmosphere. Using the new friction velocity
parameterization, together with a parameterization of eddy diffusivity and an initial potential
temperature profile around sunrise, an improved parameterization for the thermally induced upslope
flow profile is derived by solving the Prandtl equations. The upslope flow profile is found to be
simply proportional to the friction velocity. |
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| Keywords: | friction velocity temperature scale slope terrain flux-profile relationship upslope flow |
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