Fe. Hewer et N. Wood, THE EFFECTIVE ROUGHNESS LENGTH FOR SCALER TRANSFER IN NEUTRAL CONDITIONS OVER HILLY TERRAIN, Quarterly Journal of the Royal Meteorological Society, 124(547), 1998, pp. 659-685
Numerical weather prediction models are required to represent the area
-averaged effects of hills on temperature and water vapour in the atmo
spheric boundary layer. The transfer of these scalars within the bound
ary layer is affected by buoyancy. However, we have simplified the pro
blem by simulating the behaviour of a passive scalar in a neutrally st
ratified turbulent boundary layer over hills. The numerical model used
for these simulations was fully nonlinear and flows were simulated ov
er a range of slopes, including ones where separation occurred. The ar
ea-averaged effects of hills are small over low slopes but significant
at steeper slopes due to the impact of the separated region. The area
-averaged scalar concentration varies logarithmically with height, but
in a region that is shallower than the logarithmic wind region. We ha
ve found that, using an effective roughness length for scalar transfer
, Z(OS)(eff), the effects of hills on area-averaged scalars may be par
ametrized. Z(OS)(eff) is smaller than the local value of roughness len
gth for scalar transfer, and for hills of certain wavelengths and roug
hness it is three orders of magnitude smaller. A simplified interpreta
tion of the physical processes simulated by the numerical model has be
en used to derive an expression for Z(OS)(eff) in terms of hill charac
teristics only. This parametrization should be useful for representing
the influence of hills on scalar transfer in numerical weather predic
tion and climate models.