Scale effects in internal wave attractors

C. Brouzet, I. N. Sibgatullin, E. V. Ermanyuk, S. Joubaud, T. Dauxois

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9 Citations (Scopus)

Abstract

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 setups, 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.

Original languageEnglish
Article number114803
Number of pages18
JournalPhysical Review Fluids
Volume2
Issue number11
DOIs
Publication statusPublished - 17 Nov 2017

Keywords

  • ROTATING SPHERICAL-SHELL
  • VIBRATING ELLIPTIC CYLINDERS
  • SPECTRAL ELEMENT METHODS
  • INERTIAL WAVES
  • NUMERICAL SIMULATIONS
  • TRAPPED OSCILLATIONS
  • SYNTHETIC SCHLIEREN
  • PART 1
  • FLUID
  • INSTABILITY

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