231 / 2024-09-12 09:47:45
A diagnostic framework linking eddy flux ellipse with eddy-mean energy exchange
eddy geometry, eddy-mean energy exchange, along/cross-stream variation of mean flow
Session 35 - Eddy variability in the ocean and atmosphere: dynamics, parameterization and prediction
Abstract Accepted
Ru Chen / Tianjin University
Yi Yang / Tianjin University
Qianqian Geng / Tianjin University
Andrew Stewart / The University of California, Los Angeles
Glenn Flierl / Massachusetts Institute of Technology
Junyi Wang / Tianjin University
The performance of non-eddy-resolving numerical models requires a good understanding, with appropriate representation, of eddy-mean flow feedbacks. To help understand these feedbacks, we propose a diagnostic framework linking eddy geometry with the eddy-mean energy exchange terms from the Lorenz energy diagram. This framework provides explicit mathematical formulas that link eddy-mean energy exchange rates with both mean state structure and the properties of eddy momentum/buoyancy ellipses. Considering that the mean flow has both along- and cross-stream variations, we  decompose eddy-mean  kinetic energy exchange term  into three  components: one associated with cross-stream variation of mean flow (MC), one associated with along-stream variation of mean flow (MA), and one associated with the mean flow direction variation (MR).  Corresponding geometric formulas are provided. The geometric interpretation of MC is consistent with barotropic instability theories and eddy geometry literature. As to MA, the weakening (strengthening) of mean flow in the along-stream direction corresponds to eddy kinetic energy generation (decay) through MA. MA and part of MR are interconnected under the quasigeostrophic assumption. From a global integral perspective, both the along-stream and cross-stream variations of the mean flow contribute significantly to eddy-mean kinetic energy exchange.  At the Kuroshio Extension, both mean state and eddy energy level are key for shaping the spatial pattern of eddy-mean energy exchange. This framework offers a tool for geometrically interpreting eddy-mean energy exchange, which may offer guidance for eddy parameterizations.