A note on spatial averaging and shear stresses within urban canopies
A note on spatial averaging and shear stresses within urban canopies
One-dimensional urban models embedded in mesoscale models may place a few grid points within the urban canopy. This requires an accurate parametrization for shear stresses (i.e. vertical momentum fluxes) including dispersive stress and momentum sinks at these points. We used a case study with a packing density 33\% and checked rigorously the vertical variation of spatially averaged total shear stress, which can be used in a one-dimensional column urban model. We found that the intrinsic spatial average, in which the volume or area of the solids parts were not included in the average process, yielded greater time-spatial average of total stress within the canopy and a more evident abrupt change at the top of the buildings than the comprehensive spatial average, in which the volume or area of the solids parts were included in the average.
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Xie, Zheng-Tong
98ced75d-5617-4c2d-b20f-7038c54f4ff0
Fuka, Vladimir
88c0044a-1c97-44cf-9238-785603e752a9
Xie, Zheng-Tong
98ced75d-5617-4c2d-b20f-7038c54f4ff0
Fuka, Vladimir
88c0044a-1c97-44cf-9238-785603e752a9
Xie, Zheng-Tong and Fuka, Vladimir
(2017)
A note on spatial averaging and shear stresses within urban canopies.
Boundary-Layer Meteorology, .
(doi:10.1007/s10546-017-0321-7).
Abstract
One-dimensional urban models embedded in mesoscale models may place a few grid points within the urban canopy. This requires an accurate parametrization for shear stresses (i.e. vertical momentum fluxes) including dispersive stress and momentum sinks at these points. We used a case study with a packing density 33\% and checked rigorously the vertical variation of spatially averaged total shear stress, which can be used in a one-dimensional column urban model. We found that the intrinsic spatial average, in which the volume or area of the solids parts were not included in the average process, yielded greater time-spatial average of total stress within the canopy and a more evident abrupt change at the top of the buildings than the comprehensive spatial average, in which the volume or area of the solids parts were included in the average.
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Submitted date: 14 July 2016
Accepted/In Press date: 9 October 2017
e-pub ahead of print date: 23 November 2017
Organisations:
Aerodynamics & Flight Mechanics Group
Identifiers
Local EPrints ID: 398035
URI: http://eprints.soton.ac.uk/id/eprint/398035
ISSN: 0006-8314
PURE UUID: 34783816-5abd-4d58-b693-687b958fb768
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Date deposited: 15 Jul 2016 08:52
Last modified: 15 Mar 2024 05:44
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Author:
Vladimir Fuka
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