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Turbulence Model of Penetrative Convection and Pollutant Dispersion above Urban Heat Island in Stably Stratified Environment

DOI: 10.1615/ICHMT.2004.IntThermSciSemin.690
pages 565-572

Albert F. Kurbatskii
Institute of Theoretical and Applied Mechanics of Russian Academy of Sciences, Siberian Branch, Novosibirsk State University, 630090 Novosibirsk, Russia

Lioudmila Kurbatskaya
Institute of Computational Mathematics and Mathematical Geophysics of Russian Academy of Sciences, Siberian Branch, 630090 Novosibirsk, Russia


A three-equation model of the turbulent transport of momentum and heat for simulating a circulation structure and dispersion pollutant over the urban heat island in a stably stratified environment under nearly calm conditions is formulated. Turbulent fluxes of momentum — <uiuj> and heat — <uiθ> determined from E—ε—<θ2> turbulence model. This model minimizes difficulties in simulating the turbulent transport in a stably stratified environment and reduces efforts needed for the numerical implementation of the model. The numerical results demonstrate that the three-equation model is able to predict the structure of turbulent circulation flow induced by the heat island that is in good agreement with the experimental data.
The Eulerian models of a dispersion of air pollution are formulated: a high-order closure dispersion model in which the concentration fluxes <uic> are calculated from the transport equations (DC-model), and an algebraic model of turbulent fluxes <uic> (AC-model) obtained by simplification of DC-model to the algebraic expressions in the weak-equilibrium approximation. Both models use mean wind and turbulence quantities from a second-order closure model of the atmospheric boundary layer (the three-parametrical E—ε—<θ2> turbulence model). Results from dispersion of a passive contaminant from the surface source obtained with help DC and AC models show that the maximum difference of concentration level near to a source does not exceed ten percents. Besides it is shown, that diffusion terms of DC-models excluded at obtaining of AC-model, act to smooth out the gradients of the turbulent fluxes. The concentration field calculated with the DC-model turns out more smooth, than calculated by AC-model. The executed verification specifies validity of use of algebraic AC-model in practice of modeling and simulation of turbulent stratified flows and atmospheric contaminant dispersion, in particular.

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