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首页> 外文期刊>Journal of Physical Oceanography >Mapping the Energy Cascade in the North Atlantic Ocean: The Coarse-Graining Approach
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Mapping the Energy Cascade in the North Atlantic Ocean: The Coarse-Graining Approach

机译：绘制北大西洋的能量梯级图：粗粒度方法

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摘要

A coarse-graining framework is implemented to analyze nonlinear processes, measure energy transfer rates, and map out the energy pathways from simulated global ocean data. Traditional tools to measure the energy cascade from turbulence theory, such as spectral flux or spectral transfer, rely on the assumption of statistical homogeneity or at least a large separation between the scales of motion and the scales of statistical inhomogeneity. The coarse-graining framework allows for probing the fully nonlinear dynamics simultaneously in scale and in space and is not restricted by those assumptions. This paper describes how the framework can be applied to ocean flows. Energy transfer between scales is not unique because of a gauge freedom. Here, it is argued that a Galilean-invariant subfilter-scale (SFS) flux is a suitable quantity to properly measure energy scale transfer in the ocean. It is shown that the SFS definition can yield answers that are qualitatively different from traditional measures that conflate spatial transport with the scale transfer of energy. The paper presents geographic maps of the energy scale transfer that are both local in space and allow quasi-spectral, or scale-by-scale, dynamics to be diagnosed. Utilizing a strongly eddying simulation of flow in the North Atlantic Ocean, it is found that an upscale energy transfer does not hold everywhere. Indeed certain regions near the Gulf Stream and in the Equatorial Countercurrent have a marked downscale transfer. Nevertheless, on average an upscale transfer is a reasonable mean description of the extratropical energy scale transfer over regions of O(10(3)) km in size.
机译：实施了一个粗粒度框架来分析非线性过程，测量能量传输速率并从模拟的全球海洋数据中绘制出能量路径。从湍流理论测量能量级联的传统工具（例如光谱通量或光谱转移）依赖于统计均匀性的假设，或者是在运动尺度和统计不均匀性尺度之间至少存在较大的距离。粗粒度框架允许同时在比例和空间上探测完全非线性的动力学，并且不受那些假设的限制。本文描述了该框架如何应用于海流。由于仪表的自由度，秤之间的能量传递不是唯一的。在这里，有人认为伽利略不变子滤波器规模（SFS）通量是合适的量，可以适当地测量海洋中的能量规模转移。结果表明，SFS定义所产生的答案在质量上与传统方法不同，传统方法将空间传输与能量的规模转移混为一谈。本文介绍了能量尺度转移的地理地图，这些地图既在空间中局部分布，又可以诊断准光谱或按比例缩放的动力学。利用对北大西洋气流的强烈涡流模拟，发现高档能量传输并不在所有地方都有效。确实，墨西哥湾流附近和赤道逆流中的某些区域存在明显的尺度下转换。但是，平均而言，高阶转移是对O（10（3））km区域上的温带能量尺度转移的合理平均描述。

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  • 来源
    《Journal of Physical Oceanography》 |2018年第2期|225-244|共20页
  • 作者

    Aluie Hussein; Hecht Matthew; Vallis Geoffrey K.;

  • 作者单位

    Univ Rochester, Dept Mech Engn, Rochester, NY 14627 USA;

    Los Alamos Natl Lab, Computat Phys & Methods CCS 2, Los Alamos, NM USA;

    Univ Exeter, Coll Engn Math & Phys Sci, Exeter, Devon, England;

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