The adaptation of the atmospheric boundary layer to a change in the underly
ing surface roughness is an interesting problem and hence much research, th
eoretical, experimental, and numerical, has been undertaken. Within the atm
ospheric boundary layer an accurate numerical model for the turbulent prope
rties of the atmospheric boundary layer needs to be implemented if physical
ly realistic results are to be obtained. Here, the adaptation of the atmosp
heric boundary layer to a change in surface roughness is investigated using
a first-order turbulence closure model, a one-and-a-half-order turbulence
closure model and a second-order turbulence closure model. Perturbations to
the geostrophic wind and the pressure gradients are included and it is sho
wn that the second-order turbulence closure model, namely the standard k -
epsilon model, is inferior to a lower-order closure model if a modification
to limit the turbulent eddy size within the atmospheric boundary layer is
not included within the model.