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首页> 外文期刊>Journal of Physical Oceanography >Toward a Turbulence Closure Based on Energy Modes
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Toward a Turbulence Closure Based on Energy Modes

机译：朝着基于能量模式的湍流闭合

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摘要

A new approach to parameterizing subgrid-scale processes is proposed: The impact of the unresolved dynamics on the resolved dynamics (i.e., the eddy forcing) is represented by a series expansion in dynamical spatial modes that stem from the energy budget of the resolved dynamics. It is demonstrated that the convergence in these so-called energy modes is faster by orders of magnitude than the convergence in Fourier-type modes. Moreover, a novel way to test parameterizations in models is explored. The resolved dynamics and the corresponding instantaneous eddy forcing are defined via spatial filtering that accounts for the representation error of the equations of motion on the low-resolution model grid. In this way, closures can be tested within the high-resolution model, and the effects of different parameterizations related to different energy pathways can be isolated. In this study, the focus is on parameterizations of the baroclinic energy pathway. The corresponding standard closure in ocean models, the Gent-McWilliams (GM) parameterization, is also tested, and it is found that the GM field acts like a stabilizing direction in phase space. The GM field does not project well on the eddy forcing and hence fails to excite the model's intrinsic low-frequency variability, but it is able to stabilize the model.
机译：提出了一种新方法，提出了参数化子地图过程的新方法：未解决的动态对已解析动态（即，涡流强制）的影响由动态空间模式中的串联扩展来表示，这些模式源于所解析动态的能量预算。结果证明，这些所谓的能量模式的收敛性比傅立叶型模式的收敛性更快。此外，探讨了模型中的参数化的新方法。通过空间滤波定义已解析的动态和相应的瞬时涡流强制，该空间过滤定义了低分辨率模型网格上的运动方程的表示误差。以这种方式，可以在高分辨率模型内测试闭合，并且可以隔离与不同能量通路相关的不同参数化的效果。在这项研究中，重点是曲金能量通路的参数化。还测试了海洋模型中相应的标准关闭，Gent-McWilliams（GM）参数化也经过测试，发现GM场在相空间中的稳定方向上起作用。 GM字段不会在涡流强制上投射良好，因此不能激发模型的内在低频变异性，但它能够稳定模型。

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