Abstract
Flows in rapidly rotating fluid-filled containers are strongly constrained by the restorative Coriolis force. Their responses to small amplitude perturbations may result in the excitation of regular modes of the container for some very selective geometries, but in general the response is a network of inertial wave beams. Due to the peculiar laws governing how these beams reflect, the network of reflected beams may focus onto highly localized regions of the container, where the beam energy and wavenumber become unbounded in the absence of viscous and nonlinear processes. Here, we explore in detail this focusing of wave beams in cuboids, enabling a comprehensive analysis of this intriguing process.
Original language | English (US) |
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Article number | 20220876 |
Journal | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
Volume | 479 |
Issue number | 2272 |
DOIs | |
State | Published - Apr 26 2023 |
Keywords
- attractors
- inertial waves
- wave beam reflections
ASJC Scopus subject areas
- General Mathematics
- General Engineering
- General Physics and Astronomy
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Supplementary material from "Inertial wave attractors in rapidly rotating tilted cuboids"
Welfert, B. D. (Creator), Lopez, J. M. (Creator) & Wu, K. (Creator), The Royal Society, 2023
DOI: 10.6084/m9.figshare.c.6602430, https://rs.figshare.com/collections/Supplementary_material_from_Inertial_wave_attractors_in_rapidly_rotating_tilted_cuboids_/6602430
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Supplementary material from "Inertial wave attractors in rapidly rotating tilted cuboids"
Welfert, B. D. (Creator), Lopez, J. M. (Creator) & Wu, K. (Creator), The Royal Society, 2023
DOI: 10.6084/m9.figshare.c.6602430.v1, https://rs.figshare.com/collections/Supplementary_material_from_Inertial_wave_attractors_in_rapidly_rotating_tilted_cuboids_/6602430/1
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