Scale effects in internal wave attractors

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 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.

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Cited by in corpus (5)

• Damping of quasi-2D internal wave attractors by rigid-wall friction
• Linear and nonlinear regimes of an inertial wave attractor
• Internal Wave Attractors in 3D Geometries : trapping by oblique reflection
• Vortex cluster arising from an axisymmetric inertial wave attractor
• Variational Mode Decomposition for estimating critical reflected internal wave in stratified fluid