Mf. Ting, STEADY LINEAR-RESPONSE TO TROPICAL HEATING IN BAROTROPIC AND BAROCLINIC MODELS, Journal of the atmospheric sciences, 53(12), 1996, pp. 1698-1709
The atmospheric response to tropical heating is examined using both th
e linear, multilevel baroclinic model with;io imposed tropical heat so
urce, and the one-level barotropic model with a tropical divergence fo
rcing. The divergent component of the response in the baroclinic model
is characterized by a tropical divergence confined to the heated regi
on, plus convergence and divergence centers away from the tropical hea
ted region at the outflow level. The rotational component of the respo
nse is depicted by a local baroclinic response in the Tropics and a re
mote equivalent barotropic wave train in the extratropics. The barotro
pic model responses to a fixed tropical divergence are highly sensitiv
e to the strength of the zonal mean zonal Row at different vertical le
vels in the upper troposphere. The sensitivity is induced by the depen
dence of the propagation speed of the stationary Rossby wave rays on t
he strength of the zonal mean zonal Row. The barotropic response to a
tropical divergence when linearized about the zonal mean state at the
outflow level differs significantly from the equivalent barotropic wav
e train in the baroclinic model. However. when the barotropic model is
Linearized about the zonal mean flow at the equivalent barotropic lev
el, around 350 mb in winter and 500 mb in summer, its response to trop
ical divergence forcing is very similar to the baroclinic model result
. The similarity confirms that the nature of the remote atmospheric re
sponse is indeed equivalent barotropic, but it is important to apply t
he barotropic model at the appropriate upper-tropospheric level. The b
arotropic Rossby wave energy dispersion can be applied to the baroclin
ic atmosphere when the equivalent barotropic level is chosen.