A Spatially-Analytical Scheme for Surface Temperatures and Conductive Heat Fluxes in Urban Canopy Models |
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Authors: | Zhi-Hua Wang Elie Bou-Zeid James A Smith |
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Institution: | (1) Tokyo Institute of Technology, 2-12-1, Ookayama, Meguro-ku, 152-8552 Tokyo, Japan |
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Abstract: | In the urban environment, surface temperatures and conductive heat fluxes through solid media (roofs, walls, roads and vegetated
surfaces) are of paramount importance for the comfort of residents (indoors) and for microclimatic conditions (outdoors).
Fully discrete numerical methods are currently used to model heat transfer in these solid media in parametrisations of built
surfaces commonly used in weather prediction models. These discrete methods usually use finite difference schemes in both
space and time. We propose a spatially-analytical scheme where the temperature field and conductive heat fluxes are solved
analytically in space. Spurious numerical oscillations due to temperature discontinuities at the sublayer interfaces can be
avoided since the method does not involve spatial discretisation. The proposed method is compared to the fully discrete method
for a test case of one-dimensional heat conduction with sinusoidal forcing. Subsequently, the analytical scheme is incorporated
into the offline version of the current urban canopy model (UCM) used in the Weather Research and Forecasting model and the
new UCM is validated against field measurements using a wireless sensor network and other supporting measurements over a suburban
area under real-world conditions. Results of the comparison clearly show the advantage of the proposed scheme over the fully
discrete model, particularly for more complicated cases. |
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