Physical Modelling of Urban Roughness using Arrays of Regular Roughness Elements |
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Authors: | R. W. Macdonald S. Carter Schofield P. R. Slawson |
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Affiliation: | (1) Department of Mechanical Engineering, University of Waterloo, Waterloo, Ontario, Canada |
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Abstract: | The aerodynamic behaviour of large urbanagglomerations must be represented in increasingly greaterdetail, as large-scale numerical weather prediction and airpollution dispersion models are refined. The present studyprovides detailed measurements of the flow field in regulararrays of obstacles to obtain representative data on meanflow and turbulence statistics in urban-type areas. Obstacle arrays consisting of simple cubes and flat plateroughness commonly used in boundary layer simulations wereplaced in a simulated atmospheric boundary layer flow in ahydraulic flume. The scale factor was about 1:200 based onthe obstacle height (50 mm). The results show noappreciable `constant stress' region in the internalboundary layer above the buildings, since in any finite-length test array the boundary layer is always developing.However, if the RMS turbulence components are scaled by thelocal values of the shear stress, then there seems to be auniversal scaling, with u/u* = 2.1,v/u* = 1.65 and w/u* = 1.2. This greatly simplifies the parameterization of the first orderturbulence statistics in obstacle arrays. It was alsoobserved during the experiments that, compared to results inthe cube arrays, the turbulence kinetic energy and theReynolds stresses were almost doubled in the flat plateroughness arrays. |
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Keywords: | aerodynamic roughness hydraulic flume physical modelling turbulence urban boundary layer |
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