Finite-size effects in parametric subharmonic instability

Abstract

The parametric subharmonic instability in stratified fluids depends on the frequency and the amplitude of the primary plane wave. In this paper, we present experimental and numerical results emphasizing that the finite width of the beam also plays an important role on this triadic instability. A new theoretical approach based on a simple energy balance is developed and compared to numerical and experimental results. Because of the finite width of the primary wave beam, the secondary pair of waves can leave the interaction zone which affects the transfer of energy. Experimental and numerical results are in good agreement with the prediction of this theory, which brings new insights on energy transfers in the ocean where internal waves with finite-width beams are dominant.

References in corpus (5)

• Reflexion and Diffraction of Internal Waves analyzed with the Hilbert Transform
• Experimental study of parametric subharmonic instability for internal waves
• A novel internal waves generator
• New wave generation
• Laboratory experiments on the generation of internal tidal beams over steep slopes

Cited by in corpus (16)

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• Internal wave attractors examined using laboratory experiments and 3D numerical simulations
• Quantitative experimental observation of weak inertial-wave turbulence
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• Experimental study of three-wave interactions among capillary-gravity surface waves
• Linear and nonlinear regimes of an inertial wave attractor
• Internal Wave Attractors in 3D Geometries : trapping by oblique reflection
• Scale effects in internal wave attractors
• Internal wave turbulence in a stratified fluid with and without eigenmodes of the experimental domain
• A study of turbulence and interacting inertial modes in a differentially-rotating spherical shell experiment
• Three-dimensionality of the triadic resonance instability of a plane inertial wave
• Nonlinear internal wave penetration via parametric subharmonic instability
• The long view of triadic resonance instability in finite-width internal gravity wave beams
• Energy transfer in resonant and near-resonant internal wave triads for weakly non-uniform stratifications. Part I: Unbounded domain
• The stability of propagating plane inertial waves in rotating fluids
• Spontaneous superharmonic internal wave generation by modal interactions in uniform and nonuniform stratifications