论文标题

连续共振以实现内波湍流

Succession of resonances to achieve internal wave turbulence

论文作者

Davis, Géraldine, Jamin, Timothée, Deleuze, Julie, Joubaud, Sylvain, Dauxois, Thierry

论文摘要

我们通过实验研究限制在梯形储罐中的分层流体中非线性内波的相互作用。该设置已设计为从单色和多色强迫通过三个过程产生内波湍流。第一个是通过波反射在倾斜斜率上获得的波长的线性转移,导致内波吸引子具有宽波光谱。第二是梯形几何形状的宽带时频谱,如系统的脉冲响应所示。第三个是通过三元相互作用进行的频率和波频的非线性转移,这在波数功率谱的功率定律衰减中大大迫使幅度导致。内波湍流的第一个实验频谱显示$ k^{ - 3} $行为。

We study experimentally the interaction of nonlinear internal waves in a stratified fluid confined in a trapezoidal tank. The set-up has been designed to produce internal wave turbulence from monochromatic and polychromatic forcing through three processes. The first is a linear transfer in wavelength obtained by wave reflection on inclined slopes, leading to an internal wave attractor which has a broad wavenumber spectrum. Second is the broad banded time-frequency spectrum of the trapezoidal geometry, as shown by the impulse response of the system. The third one is a nonlinear transfer in frequencies and wavevectors via triadic interactions, which results at large forcing amplitudes in a power law decay of the wavenumber power spectrum. This first experimental spectrum of internal wave turbulence displays a $k^{-3}$ behavior.

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