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首页> 外文期刊>Journal of Physical Oceanography >A Geometric Interpretation of Eddy Reynolds Stresses in Barotropic Ocean Jets
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A Geometric Interpretation of Eddy Reynolds Stresses in Barotropic Ocean Jets

机译：正压海洋射流中涡流雷诺应力的几何解释

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摘要

Barotropic eddy fluxes are analyzed through a geometric decomposition of the eddy stress tensor. Specifically, the geometry of the eddy variance ellipse, a two-dimensional visualization of the stress tensor describing the mean eddy shape and tilt, is used to elucidate eddy propagation and eddy feedback on the mean flow. Linear shear and jet profiles are analyzed and theoretical results are compared against fully nonlinear simulations. For flows with zero planetary vorticity gradient, analytic solutions for the eddy ellipse tilt and anisotropy are obtained that provide a direct relationship between the eddy tilt and the phase difference of a normal-mode solution. This allows a straightforward interpretation of the eddy-mean flow interaction in terms of classical stability theory: the initially unstable jet gives rise to eddies that are tilted "against the shear" and extract energy from the mean flow; once the jet stabilizes, eddies become tilted "with the shear" and return their energy to the mean flow. For a nonzero planetary vorticity gradient, ray-tracing theory is used to predict ellipse geometry and its impact on eddy propagation within a jet. An analytic solution for the eddy tilt is found for a Rossby wave on a constant background shear. The ray-tracing results broadly agree with the eddy tilt diagnosed from a fully nonlinear simulation.
机译：通过对涡应力张量进行几何分解来分析正压涡通量。具体而言，涡度变化椭圆的几何形状（描述平均涡流形状和倾斜度的应力张量的二维可视化）用于阐明涡流传播和对平均流的涡流反馈。分析了线性剪切和射流剖面，并将理论结果与完全非线性模拟进行了比较。对于行星涡度梯度为零的流，获得了涡旋椭圆倾斜度和各向异性的解析解，这些解析解提供了涡旋倾斜度与正常模式解的相差之间的直接关系。这样就可以用经典的稳定性理论来直接解释涡流-均流的相互作用：最初不稳定的射流产生涡旋，使涡流“相对于剪切”倾斜，并从平均流中提取能量。一旦射流稳定下来，涡流就会随着剪切力而倾斜，并将其能量返回到平均流量。对于非零的行星涡度梯度，射线追踪理论用于预测椭圆的几何形状及其对射流内涡流传播的影响。对于恒定背景剪切下的罗斯比波，发现了涡旋倾斜的解析解。射线追踪结果与完全非线性仿真诊断出的涡旋倾斜度基本吻合。

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  • 来源
    《Journal of Physical Oceanography》 |2016年第8期|2285-2307|共23页
  • 作者

    Tamarin Talia; Maddison James R.; Heifetz Eyal; Marshall David P.;

  • 作者单位

    Weizmann Inst Sci, Dept Earth & Planetary Sci, Herzl St 234, IL-76100 Rehovot, Israel;

    Univ Edinburgh, Sch Math, Edinburgh, Midlothian, Scotland|Univ Edinburgh, Maxwell Inst Math Sci, Edinburgh, Midlothian, Scotland;

    Tel Aviv Univ, Dept Geophys Atmospher & Planetary Sci, Tel Aviv, Israel;

    Univ Oxford, Dept Phys, Oxford, England;

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