Barotropic instabilities of the Agulhas Current system and their relation to ring formation

Henk A. Dijkstra, Wilhelmus P. M. De Ruijter
2001 Journal of Marine Research  
Recent work has shown that different steady retroflection regimes, a viscous and an inertial regime, exist for the Agulhas Current system in an idealized geometry. In this paper, instabilities of the barotropic steady flows are considered by solving the linear stability problem numerically. Barotropic instabilities occur as so-called Hopf bifurcations in the viscous regime, with corresponding patterns related to Rossby basin modes. Depending on the value of the reduced gravity parameter, these
more » ... y parameter, these instabilities may introduce intermonthly to interannual variability into the retroflection region. Finite amplitude development of these instabilities display 'ring-like' localized anomaly patterns which travel around the tip of the continent. The results demonstrate that, within the barotropic context, (i) the frequency of the ring formation is set by the physics of the large-scale instabilities and (ii) the rectification processes due to these instabilities decrease the degree of retroflection of the mean state. The latter result suggests that the dominant mechanism of the retroflection is captured within the steady balances. 517 Model and methods The model used (Dijkstra and De Ruijter, 2001) is an (equivalent) barotropic shallow water model in spherical coordinates, modeling the zonal velocity u, meridional velocity v, and sea-surface height anomaly h (with respect to some equilibrium depth H) of the 518 [59, 4
doi:10.1357/002224001762842172 fatcat:f32cgo4xfzg6pkyslo2kpigxta