准二维internal wave吸引子的刚性壁摩擦阻尼
Damping of quasi-2D internal wave attractors by rigid-wall friction
摘要：
内重力波在倾斜边界的反射导致聚焦或散焦。在封闭区域中，聚焦通常占主导地位，并将波能量投射到“波吸引子”上。对于小振幅的内波，通过几何聚焦将能量投射到较高波数上可以通过高波数下的粘性耗散来平衡。与以前的建议相反，内部剪切层中的粘性耗散可能不足以解释经典准二维梯形实验室装置中的波吸引子实验。应用标准的边界层理论，我们提供了一个详细的描述粘性耗散的内部剪切层，以及在刚性边界。我们的分析表明，即使薄的横向斯托克斯边界层包括不超过1%的壁到壁的距离，由侧壁耗散占主导地位，在中间波数。我们对平衡状态下3D波吸引子谱的扩展模型缩小了Hazewinkel等人（2008）的观测和理论之间的差距。
英文摘要：
The reflection of internal gravity waves at sloping boundaries leads to focusing or defocusing. In closed domains, focusing typically dominates and projects the wave energy onto 'wave attractors'. For small-amplitude internal waves, the projection of energy onto higher wave numbers by geometric focusing can be balanced by viscous dissipation at high wave numbers. Contrary to what was previously suggested, viscous dissipation in interior shear layers may not be sufficient to explain the experiments on wave attractors in the classical quasi-2D trapezoidal laboratory set-ups. Applying standard boundary layer theory, we provide an elaborate description of the viscous dissipation in the interior shear layer, as well as at the rigid boundaries. Our analysis shows that even if the thin lateral Stokes boundary layers consist of no more than 1% of the wall-to-wall distance, dissipation by lateral walls dominates at intermediate wave numbers. Our extended model for the spectrum of 3D wave attractors in equilibrium closes the gap between observations and theory by Hazewinkel et al. (2008).
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