Surface windstress transfers energy to the surface mixed layer of the ocean, and this energy partly radiates as internal gravity waves with near-inertial frequencies into the stratified ocean below the mixed layer where it is available for mixing. Numerical and analytical models provide estimates of the energy transfer into the mixed layer and the fraction radiated into the interior, but with large uncertainties, which we aim to reduce in the present study. An analytical slab model of the mixed layer used before in several studies is extended by consistent physics of wave radiation into the interior. Rayleigh damping, controlling the physics of the original slab model, is absent in the extended model and the wave-induced pressure gradient is resolved. The extended model predicts the energy transfer rates, both in physical and wavenumber-frequency space, associated with the wind forcing, dissipation in the mixed layer, and wave radiation at the base as function of a few parameters: mixed layer depth, Coriolis frequency and Brunt-Väisälä frequency below the mixed layer, and parameters of the applied windstress spectrum. The results of the model are satisfactorily validated with a realistic numerical model of the North Atlantic Ocean.

中文翻译：

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利用波辐射物理学的海面层风驱动模型

地表风应力将能量转移到海洋的表面混合层，并且该能量以内部频率的一部分以接近惯性的频率辐射到混合层下面的分层海洋中，在这里可以进行混合。数值和分析模型提供了能量转移到混合层和辐射到内部的比例的估计，但是不确定性很大，我们打算在本研究中减少这些不确定性。之前在多个研究中使用的混合层的分析平板模型通过向内部辐射的一致性波场得以扩展。在扩展模型中不存在控制原始平板模型物理性的瑞利阻尼，并且可以解决波浪引起的压力梯度。扩展模型可预测能量传输速率，在物理空间和波数频率空间中，与强迫，混合层中的耗散以及基部处的波辐射相关的一些参数有关：混合层深度，混合层以下的科里奥利频率和Brunt-Väisälä频率，和应用的风应力谱的参数。该模型的结果已通过北大西洋的实际数值模型得到了令人满意的验证。