Vegetation modelling

Vegetation may play an important role in the local urban climate due to wind sheltering, shadowing and evaporative cooling effects. Vegetation is modelled as a porous medium providing the source terms for the turbulent momentum, heat and mass exchanges in a computation fluid dynamics (CFD) model of moist air flow. The heat and mass fluxes are determined from a leaf energy balance model that couples the sensible and latent heat exchanges with the radiative exchanges. The model allows to simulate the transpiration and the resulting cooling effect and its impact on urban comfort at the street-canyon scale.

Leaf energy balance model.
Leaf energy balance model. The radiative flux qrad,leaf absorbed by the leaf is balanced by the sensible  and the latent heat flux qlat,leaf. The stomatal resistance rs  influences the latent heat flux and the aerodynamic resistance ra  influences both the sensible and the latent heat fluxes.

Trees modify the velocity and temperature field behind the tree. Urban thermal comfort is evaluated using the Universal Thermal Climate Index (UTCI). The effect of transpirative cooling is identified by comparing the UTCI between transpiring (T) and non-transpiring (NT) conditions.

Flow through a tree calculated with CFD using a porous medium
Flow through a tree calculated with CFD using a porous medium
Flow through a tree calculated with CFD using a porous medium
Flow through a tree calculated with CFD using a porous medium approach including sink and source terms (a). Velocity deficit and temperature decrease due to vegetation are illustrated (b-c). Transpirative cooling can be identified by comparing the Universal Thermal Climate Index (UTCI) between transpiring (T) and non-transpiring (NT) conditions (d).
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