Most submesoscale motions—fronts, eddies, filaments, and even large internal waves—are sufficiently rapidly rotating and stratified as to be strongly influenced by potential vorticity dynamics. Below the Ozmidov scale where turbulence overturns and isotropizes, potential vorticity is not commonly considered. Here, it is shown that in Large Eddy Simulations, the velocity gradients, buoyancy gradients, and potential vorticity are strongly influenced by grid‐scale processes. Grid‐scale processes in Large Eddy Simulations, as opposed to those in Direct Numerical Simulations, imply that spuriously noisy potential vorticity variance will become increasingly dominant as resolution increases—analogous to ultraviolet catastrophe. A solution, the prefiltered potential vorticity, is shown to be effective in linking the potential vorticity dynamics of the submesoscale to the nearly‐isotropic turbulent fluxes beyond the Ozmidov scale, and a derivation is provided for a set of closed conservation equations for use in interpreting potential vorticity dynamics in Large Eddy Simulations. This diagnostic approach is exceptional in that Large Eddy Simulation analysis and hydrostatic ocean modeling with parameterized turbulence analysis are harmonized.

中文翻译：

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潜在涡度估算的细分描述了大型涡模拟中的亚中尺度到湍流边界

大多数亚中尺度运动-锋面，涡流，细丝，甚至大的内波-都足够迅速地旋转和分层，从而受到潜在涡旋动力学的强烈影响。在Ozmidov尺度以下（湍流翻转并各向同性），通常不考虑潜在的涡度。此处显示，在大涡模拟中，速度梯度，浮力梯度和潜在涡度受网格尺度过程的强烈影响。与直接数值模拟相反，大型涡流模拟中的网格规模过程意味着随着分辨率的提高，杂散噪声的潜在涡度方差将越来越占主导地位类似于紫外线灾难。已显示出一种解决方案，即预过滤的潜在涡度，可以有效地将亚中尺度的潜在涡度动力学与Ozmidov尺度之外的近等向湍流通量联系起来，并提供了一组封闭的守恒方程的推导，用于解释大型涡模拟中的潜在涡旋动力学。这种诊断方法非常出色，因为大型涡流模拟分析和带有参数化湍流分析的静水海洋建模是协调一致的。