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On the parameterization of drag over small-scale topography in neutrally-stratified boundary-layer flow
Authors:Peter A Taylor  R Ian Sykes  Paul J Mason
Institution:(1) Atmospheric Environment Service, Downsview, Ontario, Canada;(2) Department of Earth and Atmospheric Science, York University, North York, Ontario, Canada;(3) Aeronautical Research Associates of Princeton, Princeton, New Jersey, USA;(4) Boundary-Layer Research Branch, Meteorological Office, Bracknell, UK
Abstract:Predictions of the surface drag in turbulent boundary-layer flow over two-dimensional sinusoidal topography from various numerical models are compared. For simple 2D terrain, the model results show that the drag increases associated with topography are essentially proportional to (slope)2 up to the steepness at which the flow separates. For the purposes of boundary-layer parameterisation within larger-scale models, we propose a representation of the effects of simple 2D topography via an effective roughness length, z 0 eff. The form of the varation of z 0 eff with terrain slope and topographic wavelength is established for small slopes from the model results and a semi-empirical formula is proposed.
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