Energy Spectra in Turbulent Geophysical Flows

Physics – Fluid Dynamics

Scientific paper

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Scientific paper

For a forced, dissipative system energy is transferred from the forcing length scale to larger length scales. We are interested in turbulent scaling laws in geophysical and astrophysical systems, especially related to the formation of coherent features in planetary atmospheres. We conducted numerical simulations of systems parametrized by the gradient of the Coriolis parameter, β, and stratification (which is given by the Rossby deformation radius, L_r). For wavenumber regimes where β is unimportant, the classical k-5/3 law applies. For smaller wavenumbers (larger length scales) where β becomes important a steeper spectrum corresponding to k-5 is observed. Similarly, steepening of the turbulent energy spectrum is observed when Lr becomes large (higher stratification). These different scaling laws help explain the large-scales structures (zones and vortices) found in planetary atmospheres.

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