Scale effects in internal wave attractors

As a necessary preliminary step toward geophysically significant extrapolations, we study the scale effects in internal wave attractors in the linear and nonlinear regimes. We use two geometrically similar experimental set-ups, scaled to factor 3, and numerical simulations (a spectral element method...

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Bibliographic Details
Published in:arXiv.org 2018-05
Main Authors: Brouzet, C, Sibgatullin, I N, Ermanyuk, E V, Joubaud, S, Dauxois, T
Format: Article
Language:English
Subjects:
Amplitudes
Computer simulation
Energy dissipation
Geophysics
Internal waves
Scaling
Spectral element method
Online Access:Get full text
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Summary:As a necessary preliminary step toward geophysically significant extrapolations, we study the scale effects in internal wave attractors in the linear and nonlinear regimes. We use two geometrically similar experimental set-ups, scaled to factor 3, and numerical simulations (a spectral element method, based on the Nek5000 open solver) for a range of parameters that is typically accessible in laboratory. In the linear regime, we recover the classical viscous scaling for the beam width, which is not affected by variations of the amplitude of the input perturbation. In the nonlinear regime, we show that the scaling of the width-to-length ratio of the attractor branches is intimately related with the energy cascade from large-scale energy input to dissipation. We present results for the wavelength, amplitude and width of the beam as a function of time and as a function of the amplitude of the forcing.
ISSN:2331-8422
DOI:10.48550/arxiv.1805.04560