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SUMMARY:Toward Understanding the Multi-Scale Coupling in Global Oceanic Fl
 ows - Hussein Aluie (University of Rochester)
DTSTART:20220519T133000Z
DTEND:20220519T143000Z
UID:TALK173582@talks.cam.ac.uk
DESCRIPTION:Large-scale currents and eddies pervade the ocean and play a p
 rime role in the general circulation and climate. The coupling between sca
 les ranging from $O(10^4)~$km down to $O(1)~$mm presents a major difficult
 y in understanding\, modeling\, and predicting oceanic circulation and mix
 ing\, where our constraints on the energy budget suffer from large uncerta
 inties. Identifying the energy sources and sinks at various scales and geo
 graphic locations can reduce such uncertainty and yield insight into new p
 arameterizations of nonlinear physical processes. To this end\, we develop
  the coarse-graining framework to analyze the multi-scale dynamics on the 
 sphere. This is made possible by generalizing the definition of convolutio
 n to ensure that our filtering operators and spatial derivatives on the sp
 here commute\, thereby allowing us to derive the PDEs governing any sets o
 f scales. The approach is very general\, allows for probing the dynamics s
 imultaneously in scale and in space\, and is not restricted by usual assum
 ptions of homogeneity or isotropy. We will demonstrate the application of 
 this framework to satellite altimetry data and to strongly eddying high-re
 solution simulations using General Circulation Models\, focusing on the en
 ergy cascade\, eddy-killing by wind\, and measuring the global oceanic ene
 rgy spectrum.
LOCATION:Seminar Room 1\, Newton Institute
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