Reflections and focusing of inertial waves in a tilted librating cube

نویسندگان

چکیده

A fluid-filled cube rotating about an axis passing through the midpoints of opposite edges is subjected to small librations (i.e. modulation mean rotation). Low viscosity regimes, with Ekman number as $10^{-8}$ and equally relative forcing amplitude, are explored numerically. The full inertial range frequencies, from 0 twice rotation rate considered. response flows dominated by wavebeams emitted and/or vertices, depending on frequency. How these reflect cube's walls focus onto vertices lead intricate patterns. Most results can be reconciled using linear inviscid ray-tracing theory careful attention wavebeam emissions reflections. However, even at low amplitude considered, other effects discernible which not captured ray tracing. These include a symmetry breaking due viscous progressive wave, retrograde localized in boundary layers cube, nonlinear librational forcing.

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ژورنال

عنوان ژورنال: Journal of Fluid Mechanics

سال: 2022

ISSN: ['0022-1120', '1469-7645']

DOI: https://doi.org/10.1017/jfm.2022.639