A reduced-gravity model is developed to represent the flow of Antarctic Bot
tom Water (AABW) over realistic bathymetry in an Atlantic domain. The dynam
ics are based on the steady, planetary-geostrophic, shallow-water equations
, including a linear bottom friction and a uniform diapycnal upwelling thro
ugh the top of the model layer. The model solutions are broadly consistent
with observations of the distribution and transport of AABW. The flows occu
r predominantly along potential vorticity contours, which are in turn broad
ly oriented along bathymetric contours. The characteristic weak flow across
potential vorticity contours of the Stommel-Arons model is present as a sm
all addition to this stronger forced mode along potential vorticity contour
s. As a consequence, mass balance is maintained not by hypothesized western
boundary currents as in the Stommel-Arons model, but by the interplay betw
een topographic slope currents and interior recirculations. In particular,
a transposition is found in the flow of AABW from the western side of the B
razil Basin south of the equator to the western flank of the Mid-Atlantic R
idge north of the equator. This is also consistent with an analytical resul
t derived by extending the Parsons mechanism to an abyssal layer overlying
arbitrary bathymetry. The authors suggest that the results provide a more c
onvincing zero-order picture than the Stommel-Arons model for the circulati
on of AABW and perhaps for abyssal water masses in general.