Fj. Poulin et Ge. Swaters, Sub-inertial dynamics of density-driven flows in a continuously stratifiedfluid on a sloping bottom. II. Isolated eddies and radiating cold domes, P ROY SOC A, 455(1986), 1999, pp. 2305-2329
Citations number
30
Categorie Soggetti
Multidisciplinary
Journal title
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Dynamical properties of propagating baroclinic bottom-intensified eddies on
a sloping bottom are investigated. The model is based on one previously in
troduced describing the sub-inertial dynamics of density-driven flows on a
sloping bottom within a continuously stratified rotating fluid. A variation
al principle is established for arbitrary nonlinear steadily travelling edd
ies. Explicit solutions are obtained for fully nonlinear radially symmetric
eddies. The eddies correspond to a bottom-trapped cold dome that has a pre
dominantly anticyclonic circulation within it and a relatively strong cyclo
nic eddy in the overlying fluid, which satisfies the Mory-Stern isolation c
onstraint. These eddies are able to transport bottom- and intermediate-wate
r fluid parcels. An approximate solution is also constructed for a radiatin
g cold dome. These eddies possess a topographic Rossby wave field behind th
e travelling eddy. The associated wave drag results in down-slope motion in
to deeper waters. The theoretical work is illustrated with a specific solut
ion for a cold dome with a parabolic height profile that intersects the bot
tom.