Numerical simulation of geophysical turbulence and Eddies

Statistics – Computation

Scientific paper

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Turbulence, Diffusion, And Mixing Processes In Oceanography

Scientific paper

Most atmospheric and oceanic turbulence and eddies originate from the development of instabilities resulting from the combined effects of density gradients and rotation. We present here numerical Direct Numerical Simulations (DNS) and Large-Eddy Simulations (LES) of turbulent flows of atmospheric and oceanic interest. We first investigate the effects of solid-body rotation on free-shear flows, wall-bounded flows, and homogeneous turbulence, and show the drastic modification of the flow topology. Stably-stratified rotating turbulence is then numerically investigated with energy injection at small scales. We observe inverse cascades corresponding to a well defined k-5/3 spectral range for the geostrophic part of both the kinetic and available potential energy spectra. The applications to the observed mesoscale atmospheric spectrum are discussed. We finally show how DNS and LES techniques can be applied to the computation of synoptic and frontal scale cyclogenesis.

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