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Mean flow and fluctuations in two opposing limits of quasi-geostrophic flow

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TURW05 - Advances in geophysical and astrophysical turbulence

Persistent large scale flows in geophysical and astrophysical settings are often sustained by small scale turbulence, rather than the other way around. I will discuss two idealized settings where analytical progress on such mean-flow-turbulence interactions and statistics is possible.   Namely, I will compare and contrast the steady state statistics in two limits of the shallow water quasi-geostrophic equation (absent differential rotation): the limit of infinite deformation radius, corresponding to 2D Navier-Stokes, and that of zero deformation radius, called the asymptotic model. For both, I will present analytical results rooted in the quasi-linear approximation, along with supporting evidence from direct numerical simulations. I will also show some surprising features of the asymptotic model, including the influence of the inverse energy transfer on the direct cascade.

This talk is part of the Isaac Newton Institute Seminar Series series.

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