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Publication: Stratified turbulence at the buoyancy scale

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Title Stratified turbulence at the buoyancy scale
Authors/Editors* M. L. Waite
Where published* Phys. Fluids
How published* Journal
Year* 2011
Volume 23
Number
Pages 066602
Publisher
Keywords
Link http://pof.aip.org/resource/1/phfle6/v23/i6/p066602_s1
Abstract
Numerical simulations of forced stratified turbulence are presented, and the dependence on horizontal resolution and grid aspect ratio is investigated. Simulations are designed to model the small-scale end of the atmospheric mesoscale and oceanic submesoscale, for which high horizontal resolution is usually not feasible in large-scale geophysical fluid simulations. Coarse horizontal resolution, which necessitates the use of thin grid aspect ratio, yields a downscale stratified turbulence energy cascade in agreement with previous results. We show that with increasing horizontal resolution, a transition emerges at the buoyancy scale 2PiU/N, where U is the rms velocity and N is the Brunt–Vaisala frequency. Simulations with high horizontal resolution and isotropic grid spacing exhibit a spectral break at this scale, below which there is a net injection of kinetic energy by nonlinear interactions with the large-scale flow. We argue that these results are consistent with a direct transfer of energy to the buoyancy scale by Kelvin–Helmholtz instability of the large-scale vortices. These findings suggest the existence of a distinct subrange of stratified turbulence between the buoyancy and Ozmidov scales. This range must be at least partially resolved or parameterized to obtain robust simulations of larger-scale turbulence.
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