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• W1999815962 abstract "Direct numerical simulations of stably and strongly stratified turbulent flows with Reynolds number Re ≫ 1 and horizontal Froude number F h ≪ 1 are presented. The results are interpreted on the basis of a scaling analysis of the governing equations. The analysis suggests that there are two different strongly stratified regimes according to the parameter $mathcal{R} ,{=}, hbox{it Re} F^2_h$ . When $mathcal{R} ,{gg}, 1$ , viscous forces are unimportant and l v scales as l v ∼ U / N ( U is a characteristic horizontal velocity and N is the Brunt–Väisälä frequency) so that the dynamics of the flow is inherently three-dimensional but strongly anisotropic. When $mathcal{R} ,{ll}, 1$ , vertical viscous shearing is important so that $l_v ,{sim}, l_h/hbox{it Re}^{1/2}$ ( l h is a characteristic horizontal length scale). The parameter $cal R$ is further shown to be related to the buoyancy Reynolds number and proportional to ( l O /η) 4/3 , where l O is the Ozmidov length scale and η the Kolmogorov length scale. This implies that there are simultaneously two distinct ranges in strongly stratified turbulence when $mathcal{R} ,{gg}, 1$ : the scales larger than l O are strongly influenced by the stratification while those between l O and η are weakly affected by stratification. The direct numerical simulations with forced large-scale horizontal two-dimensional motions and uniform stratification cover a wide Re and F h range and support the main parameter controlling strongly stratified turbulence being $cal R$ . The numerical results are in good agreement with the scaling laws for the vertical length scale. Thin horizontal layers are observed independently of the value of $cal R$ but they tend to be smooth for $cal R$ < 1, while for $cal R$ > 1 small-scale three-dimensional turbulent disturbances are increasingly superimposed. The dissipation of kinetic energy is mostly due to vertical shearing for $cal R$ < 1 but tends to isotropy as $cal R$ increases above unity. When $mathcal{R}$ < 1, the horizontal and vertical energy spectra are very steep while, when $cal R$ > 1, the horizontal spectra of kinetic and potential energy exhibit an approximate k −5/3 h -power-law range and a clear forward energy cascade is observed." @default.
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• W1999815962 date "2007-08-07" @default.
• W1999815962 modified "2023-10-05" @default.
• W1999815962 title "Scaling analysis and simulation of strongly stratified turbulent flows" @default.
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• W1999815962 doi "https://doi.org/10.1017/s0022112007006854" @default.
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