Anisotropic constraints on energy distribution in rotating and stratified turbulenceS. Kurien1, B. Wingate2 and M. A. Taylor3
1 Theoretical Division, Los Alamos National Laboratory - Los Alamos, NM 87545, USA
2 Computer and Computational Sciences Division, Los Alamos National Laboratory - Los Alamos, NM 87545, USA
3 Exploratory Simulations Technologies, Sandia National Laboratories - Albuquerque, NM 87185, USA
received 27 March 2008; accepted in final form 8 September 2008; published October 2008
published online 8 October 2008
It is shown that for Boussinesq flows in which rotation and stratification are equally strong, the forward cascade of potential enstrophy constrains the spectral distribution of horizontal kinetic energy and potential energy. Horizontal kinetic energy is suppressed in the smallaspect-ratio wave modes, and potential energy in suppressed in the largeaspect-ratio wave modes. Scaling estimates based on phenomenological arguments yield scaling of kh- 3 and kz- 3, respectively, of the two spectra. High-resolution numerical simulations of the Boussinesq equations in the relevant parameter regimes show spectral scaling exponent closer to - 4, and hence even stronger suppression than is predicted by dimensional estimates.
47.27.-i - Turbulent flows.
47.32.-y - Vortex dynamics; rotating fluids.
47.55.Hd - Stratified flows.
© EPLA 2008