V. Pavan, SENSITIVITY OF A MULTILAYER QUASI-GEOSTROPHIC BETA-CHANNEL TO THE VERTICAL STRUCTURE OF THE EQUILIBRIUM MERIDIONAL TEMPERATURE-GRADIENT, Quarterly Journal of the Royal Meteorological Society, 122(529), 1996, pp. 55-72
A multi-layer, quasi-geostrophic, Boussinesq model on a beta-channel i
s used to study the sensitivity of the mid-latitude storm-track to cha
nges in the vertical structure of the zonal mean equilibrium meridiona
l temperature gradient. Motivation for this study is taken from the ob
servation that the doubled CO2 climatology of general-circulation mode
ls presents a weaker gradient in the lower troposphere and a stronger
gradient in the upper troposphere than in a 'control' climatology. It
is observed that the dynamics of the quasi-geostrophic model are gener
ally more sensitive to the lower than to the upper tropospheric temper
ature gradient as a consequence of the importance of shallow eddies. I
n order to give a good representation of the eddy dynamics it is neces
sary to use a sufficiently high resolution, which, in the case chosen,
proved to be between 10 and 20 tropospheric layers. If only three lay
ers are used the general features of the response are still reproduced
, but the model does not represent the sensitivities of the eddy merid
ional momentum-flux convergence adequately. It is argued that this is
connected with the particular choice taken when parametrizing the surf
ace Ekman friction. When a higher-resolution model is used, the eddy m
omentum-flux convergence proves to be more sensitive to changes in the
upper than in the lower meridional equilibrium temperature gradient b
ut is generally much less responsive to these changes than other quant
ities like the surface eddy potential-vorticity flux or eddy kinetic e
nergy. For each variable the two sensitivities become close to each ot
her as the baroclinicity of the equilibrium now is increased because o
f the prevalence of deep eddies in the dynamics, sensitive only to the
total radiative equilibrium wind vertical gradient. For very high val
ues of the baroclinicity of the equilibrium flow the sensitivities app
roach a constant value in accordance with a simple scaling argument.