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- W2894821515 abstract "We quantify the variability of the characteristic length scales of isotropically forced Boussinesq flows with stratification and frame rotation, as functions of the ratio $N/f$ of the Brunt–Väisälä frequency to the Coriolis frequency. The parameter ranges $0<N<f$ , domain aspect ratio $1leqslant unicode[STIX]{x1D6FF}_{d}leqslant 32$ and Burger number $Bu=unicode[STIX]{x1D6FF}_{d}N/fleqslant 1$ are explored for two values of $f$ , one resulting in linear potential vorticity and the other in nonlinear potential vorticity. Characteristic length scales of the wave and vortical linear eigenmodes are separately quantified using $n$ th-order spectral moments in both horizontal and vertical directions, for integer $nleqslant 3$ . In flows with linear potential vorticity, the horizontal vortical length scale $L_{0}$ , characterizing a typical width of columnar structures, grows as ${sim}(N/f)^{1/2}$ at all orders of $n$ , regardless of domain aspect ratio. In unit-aspect-ratio domains, when intermediate scales are measured by filtering out the largest scales and using higher-order moments $n>1$ , the vortical-mode aspect ratio $unicode[STIX]{x1D6FF}_{0}$ asymptotes to a scaling of ${sim}(N/f)^{-1}$ , in agreement with quasi-geostrophic estimates. In contrast, the $unicode[STIX]{x1D6FF}_{0}$ in tall-aspect-ratio domain flows yields a decay rate of at most ${sim}(N/f)^{-1/2}$ after large-scale filtering. Flows with nonlinear potential vorticity display consistently weaker dependence of the characteristic scales on $N/f$ than the corresponding ones with linear potential vorticity. The wave-mode aspect ratios for all flows are essentially independent of $N/f$ . We highlight the differences of these flow structure scalings relative to those expected for quasi-geostrophic flows, and those observed in strongly stratified, non-quasi-geostrophic flows." @default.
- W2894821515 created "2018-10-12" @default.
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- W2894821515 date "2018-10-04" @default.
- W2894821515 modified "2023-09-23" @default.
- W2894821515 title "Characteristic length scales of strongly rotating Boussinesq flow in variable-aspect-ratio domains" @default.
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- W2894821515 doi "https://doi.org/10.1017/jfm.2018.687" @default.
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