Oceans at MIT Striving to understand, harness and sustain Earth's defining frontier. http://oceans.mit.edu America/New_York America/New_York America/New_York 20171105T020000 -0400 -0500 20181104T020000 EST 20180311T020000 -0500 -0400 EDT 7f8gqhpvh8tmioqalvkb0i486k@google.com 20180503T092121Z MIT Seminar | PAOC Oceanography and Climate Sack Lunch The ocean is populated by an intense geostrophic eddy field that is unresolved in most numerical ocean models used for climate prediction. A geometric framework for parameterising ocean eddy fluxes will be presented that is consistent with conservation of energy and momentum. The framework involves rewriting the residual-mean eddy force as the divergence of an eddy stress tensor. The magnitude of the eddy stress tensor is bounded by the eddy energy, allowing its components to be rewritten in terms of the eddy energy and non-dimensional parameters describing the mean "shape" of the eddies, analogous to “eddy ellipses” used in observational oceanography. These non-dimensional geometric parameters have strong connections with classical stability theory, for example, the new framework preserves the functional form of the linear Eady growth rate and, with one additional ingredient, Arnold’s first stability theorem. This framework also leads to a simple model of "eddy saturation”: the relative insensitivity of the ocean circulation and stratification to the magnitude of the surface wind stress in ocean models with explicit eddies. These results offer the prospect of improved eddy parameterisations that both preserve the underlying symmetries and conservation laws inherent in the unfiltered equations, and reproduce empirical results that have been obtained with eddy-permitting models. 20160406T120000 20160406T130000 54-915 0 SLS-David Marshall (Oxford) – A geometric interpretation of eddy-mean flow interaction in the ocean