The long-time interaction of an eddy with shelf topography

Given the initial potential vorticity anomaly in the vortex core, the outcome is controlled by eight nondimensional parameters: the amplitude of the anomaly, the vortex size related to the Burger number, the intensity of the vortex relative to the β-drift speed, the initial distance from the shelf, the shelf slope steepness, the shelf width, the Ekman number for bottom friction over the shelf, and the lateral momentum diffusion. We find that the vortex-shelf interaction is more sensitive to the vortex intensity and vortex size, than to the remaining parameters.