A Simple Two Dimensional Dynamical System for Eddy Saturation
Here a simple two dimensional dynamical system for the Southern Ocean is presented. The system is derived as a low dimensional reduced order model for a planetary geostrophic channel, subject to the GEOMETRIC form of the Gent and McWilliams closure, and coupled to a parametrized eddy energy budget. The fixed point of this system captures both eddy saturation and anti-frictional control mechanisms. Emergent dynamical time-scales, and the influence of stochastic momentum forcing on the dynamics, will be discussed.