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On the Minimum Potential Energy State and the Eddy Size-Constrained APE Density

机译:关于最小势能态和涡流尺寸限制的APE密度

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摘要

Exactly solving the absolute minimum potential energy state (Lorenz reference state) is a difficult problem because of the nonlinear nature of the equation of state of seawater. This problem has been solved recently but the algorithm comes at a high computational cost. As the first part of this study, the authors develop an algorithm that is similar to 10(3)-10(5) times faster, making it useful for energy diagnosis in ocean models. The second part of this study shows that the global patterns of Lorenz available potential energy (APE) density are distinct from those of eddy kinetic energy (EKE). This is because the Lorenz APE density is based on the entire domainwide parcel rearrangement, while mesoscale eddies, if related to baroclinic instability, are typically generated through local parcel rearrangement approximately around the eddy size. Inspired by this contrast, this study develops a locally defined APE framework: the eddy size-constrained APE density based on the strong constraint that the parcel rearrangement/displacement to achieve the minimum potential energy state should not exceed the local eddy size horizontally. This concept typically identifies baroclinically unstable regions. It is shown to be helpful to detect individual eddies/vortices and local EKE patterns, for example, around the Southern Ocean fronts and subtropical western boundary currents. This is consistent with the physical picture that mesoscale eddies are associated with a strong signature in both the velocity field (i.e., EKE) and the stratification (i.e., local APE). The new APE concept may be useful in parameterizing mesoscale eddies in ocean models.
机译:由于海水状态方程的非线性性质,精确求解绝对最小势能状态(洛伦兹参考状态)是一个难题。最近已经解决了这个问题,但是该算法的计算成本很高。作为本研究的第一部分,作者开发了一种类似于10(3)-10(5)倍的算法,使其可用于海洋模型中的能量诊断。这项研究的第二部分表明,洛伦兹可用势能(APE)密度的整体模式与涡动能(EKE)的模式不同。这是因为Lorenz APE密度基于整个域范围内的包裹重排,而中尺度涡旋(如果与斜压不稳定性相关)通常是通过大约在涡流大小附近的局部包裹重排而生成的。受到这种对比的启发,本研究建立了一个局部定义的APE框架:涡流尺寸受约束的APE密度基于强烈的约束,即为了实现最小势能状态的包裹重排/位移不应水平超过局部涡流尺寸。该概念通常标识斜压不稳定区域。它显示出有助于检测单个涡流/涡旋和局部EKE模式,例如,在南大洋锋周围和亚热带西部边界流附近。这与中尺度涡流在速度场(即EKE)和分层(即局部APE)中都具有很强的特征相关的物理图像是一致的。新的APE概念可能对参数化海洋模型中尺度涡旋很有用。

著录项

  • 来源
    《Journal of Physical Oceanography》 |2016年第9期|2663-2674|共12页
  • 作者

    Su Zhan; Ingersoll Andrew P.;

  • 作者单位

    CALTECH, Div Geol & Planetary Sci, 1200 East Calif Blvd, Pasadena, CA 91125 USA;

    CALTECH, Div Geol & Planetary Sci, 1200 East Calif Blvd, Pasadena, CA 91125 USA;

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  • 正文语种 eng
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