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Precessing cube: resonant excitation of modes and triadic resonance
Published online by Cambridge University Press: 21 January 2020
Abstract
Numerical simulations of the response flow in a fluid-filled rotating cube that is subjected to precessional forcing are examined over a wide range of rotation, precession and forcing frequencies. The responses are shown to correspond to resonantly excited inertial modes of the rotating cube that have the same spatio-temporal symmetry as the precessional forcing and, under certain conditions, the response flow loses stability via symmetry breaking that is intricately associated with a triadic resonance between the forced flow and two free inertial modes whose spatio-temporal symmetries do not coincide with that of the precessional forcing.
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- © 2020 Cambridge University Press
References
Wu et al. supplementary movie 1
Animations of the forced response flows at half-frequencies as indicated, and the corresponding inertial eigenmodes. Shown are the components of vorticity orthogonal to the planes indicated.
Wu et al. supplementary movie 2
Animations of the forced response flows at half-frequencies as indicated, and the corresponding inertial eigenmodes. Shown are the components of vorticity orthogonal to the planes indicated.
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