# On the representation of urban heterogeneities in mesoscale models

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## Abstract

The size and arrangement of the obstacles and the presence of a source of heat (anthropogenic heat flux) are distinctive characteristics of an urban area. These two elements, together with the specific applications oriented to improve citizen’s comfort, determine the way urban heterogeneities are represented in mesoscale models. In this contribution two examples are presented. In the first a microscale fluid dynamics model is used to investigate the role of organized motions (dispersive fluxes) of a passive tracer emitted at the surface in a staggered and in an aligned array of cubes. The impact of the dispersive flux, that can reach 90 % of the total flux in the staggered array, is then assessed in a column model. The second example deals with the representation of anthropogenic heat fluxes and the estimation of thermal comfort by means of an urban canopy parameterization with a simple building energy model, implemented in a mesoscale model. The simulation of a typical summer day over the city of Madrid (Spain) shows that the anthropogenic heat fluxes have the largest impact on the air temperature in the evening-night, and that the presence of the city prolongs to the late evening the period of thermal discomfort, compared with the rural areas surrounding the city. The paper is concluded by pointing out that future work must be devoted to deep on the relationship between the real morphology of a city and the simplified morphology adopted in the urban canopy parameterizations.

## Keywords

Urban canopy parameterizations Mesoscale modelling microscale modelling Thermal comfort Urban morphology## Notes

### Acknowledgments

Authors acknowledge Omduth Coceal for providing the DNS data for the validation of the RANS simulations. This study has been partially supported by the project “Modelización de la Influencia de la Vegetación Urbana en la Calidad del Aire y Confort Climático” (CGL2011-26173) funded by Spanish Ministry of Economy and Competitiveness and by the Project Supercomputation and E-Science (SyeC) from the Spanish CONSOLIDER Programme.

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