Parametrically forced stably stratified flow in a three-dimensional rectangular container

Jason Yalim

doi:10.1017/jfm.2020.543

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Parametrically forced stably stratified flow in a three-dimensional rectangular container

2020-08-05

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Jason Yalim

Juan M. López *

Bruno D. Welfert

DOI：10.1017/jfm.2020.543

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Abstract

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The dynamics of a stably and thermally stratified fluid-filled cavity harmonically forced in the vertical direction, resulting in a periodic gravity modulation, is studied numerically. Prior simulations in a two-dimensional cavity showed a myriad of complex dynamic behaviours near the onset of instabilities, and here we address the extent to which these persist in three dimensions. Focusing on a parameter regime where the primary subharmonic mode is resonantly driven, we demonstrate comprehensive qualitative agreement between the dynamics in two and three dimensions; the quantitative difference is due to the larger forcing amplitudes needed in three dimensions to overcome the additional viscous damping from the spanwise walls. Using a small detuning of the forcing frequency, together with a relatively large forcing amplitude, leads to a wave-breaking regime where the qualitative agreement between two and three dimensions breaks down.

Keywords:

internal waves

parametric instability

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