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Atmospheric and Oceanic Optics

2016 year, number 6

On the parametrization of the turbulent friction velocity for the mathematical heat-island model of the low-aspect-ratio in the stratified environment

L.I. Kurbatskaya1, A.F. Kurbatskii2
1Institute of Computational Mathematics and Mathematical Geophysics of the Siberian Branch of the RAS, 6, Ac. Lavrentieva ave., 630090, Novosibirsk, Russia
2Khristianovich Institute of Theoretical and Applied Mechanics of Siberian Branch of Russian Academy of Sciences, 4/1, Institutskaya str., Novosibirsk, 630090, Russia
Keywords: турбулентность, планетарный пограничный слой, городской остров тепла, крупномасштабная циркуляция, численное моделирование, turbulence, planetary boundary layer, urban heat island, large-scale circulation, numerical modeling

Abstract

We examine the parameterizations of a turbulent friction velocity u * for the mathematical heat-island model of the low-aspect-ratio in the stratified environment. This study was performed to simulate the urban heat island in a calm stably stratified medium with the thermophysics inhomogeneity of the underlying surface: the unstable stratification over the localized surface heat source and the stable stratification out of it [1]. The numerical results of u * are presented with the of use the Louis’s and Paulson’s non-iteration algorithms for the quasi-steady circulation over the urban heat island.