Cloud-resolving model simulations of radiative-convective equilibrium are c
onducted in both two and three dimensions (2D and 3D) to examine the effect
of dimensionality on the equilibrium statistics. Convection is forced by a
fixed imposed profile of radiative cooling and surface fluxes from fixed t
emperature ocean.
In the control experiment. using the same number of grid points in both 2D
and 3D and a zero mean wind, the temperature and moisture profiles diverge
considerably after a few days of simulations. Two mechanisms are shown to b
e responsible for this. First, 2D geometry causes higher perturbation surfa
ce winds resulting from deep convective downdrafts, which lead to a warmer,
moister boundary layer and a warmer tropospheric mean temperature state. A
dditionally, 2D geometry encourages spontaneous large-scale organization, i
n which areas far away from convection become very dry and thus inhibit fur
ther convection there, leading to a drier mean atmosphere.
Further experiments were conducted in which horizontal mean winds were appl
ied, adopting both constant and sheared vertical profiles. With mean surfac
e winds that are of the same magnitude as downdraft outflow velocities or g
reater, convection can no longer increase mean surface fluxes, and the temp
erature differences between 2D and 3D are greatly reduced. However, the org
anization of convection still exists with imposed wind profiles. Repeating
the experiments on a small 2D domain produced similar equilibrium profiles
to the 3D investigations, since the limited domain artificially reduces sur
face wind speeds, and also restricts mesoscale organization.
The main conclusions are that for modeling convection that is highly two-di
mensionally organized, such as squall lines or Walker-type circulations ove
r strong SST gradients, and for which a reasonable mean surface wind exists
. it is possible that a 2D model can be used. However, for random or cluste
red convection, and especially in low wind environments, it is highly prefe
rable to use a 3D cloud model.