We compare the effect of using four different formulations for the sur
face thermal boundary condition on a primitive equation eddy-resolving
model. The first formulation is the conventional restoring boundary c
ondition. This relaxes the surface temperature of the model to a speci
fied ''restoring temperature'' on a timescale of 30 to 60 days. The se
cond formulation calculates the surface heat flux interactively by cou
pling the ocean model to a simple atmospheric model with an effective
restoring time of several hundred days. The third formulation (Rahmsto
rf and Willebrand, 1995) (RW0) is a simplified energy balance model wi
thout atmospheric heat transport. The fourth formulation (Rahmstorf an
d Willebrand, 1995) (RW1) is a linearized energy balance model with at
mospheric heat transport parameterized as a diffusion term. The bigges
t impact is on the vertical structure of the temperature variance. Und
er the restoring condition the maxima in this variance always occur be
neath the surface. Under the other three boundary conditions, maxima a
re found at the surface and/or subsurface levels, depending on geograp
hical location and in closer agreement with observations. There is als
o an increase in the magnitude and eastward extension of both the eddy
and mean kinetic energy at midlatitudes and in the subpolar gyre regi
on with the use of less constraining surface boundary conditions. We s
uggest that the use of a conventional restoring surface boundary condi
tion acts to suppress mesoscale variability in eddy-resolving models.
The northward heat transport is also increased by using the RW0 and RW
1 formulations. The main reason for the enhancement of eddy variabilit
y and northward heat transport using the RW0 and RW1 surface boundary
conditions is the release of the mean state.