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Stokes Drift in Internal Equatorial Kelvin Waves: Continuous Stratification versus Two-Layer Models

机译:内部赤道开尔文波的斯托克斯漂移:连续分层与两层模型

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摘要

The Stokes drift in long internal equatorial Kelvin waves is investigated theoretically for an inviscid fluid of constant depth. While the Stokes drift in irrotational waves is positive everywhere in the fluid, that is, directed along the phase velocity, this is not always the case for internal Kelvin waves, which possess vorticity. For constant Brunt-Vaeisaelae frequency, the Stokes drift in such waves is sinusoidal in the vertical with a negative value in the middle of the layer for the first baroclinic mode. For a pycnocline that is typical of the equatorial Pacific, this study finds for the first mode that the largest negative Stokes drift velocity occurs near the depth where the Brunt-Vaeisaelae frequency has its maximum. Here, estimated drift values are found to be on the same order of magnitude as those observed in the Pacific Equatorial Undercurrent at the same level. In contrast, a two-layer model with constant density in each layer yields a positive Stokes drift in both layers. This contradicts the fact that, as shown in this paper, the vertically integrated Stokes drift (the Stokes flux) must be zero for arbitrary Brunt-Vaeisaelae frequency.
机译:对于恒定深度的无粘性流体,理论上研究了赤道​​内长开尔文波中的斯托克斯漂移。尽管斯托克斯在无旋波中的漂移在流体的各处都是正的,即沿相速度方向,但内部开尔文波并不总是这样,因为内部开尔文波具有涡旋性。对于恒定的Brunt-Vaeisaelae频率,在此类波中,斯托克斯漂移在垂直方向上为正弦曲线,对于第一个斜压模式,该层的中间为负值。对于典型的赤道太平洋的比诺西林,本研究针对第一种模式发现最大的负斯托克斯漂移速度发生在Brunt-Vaeisaelae频率最大的深度附近。在这里,发现的漂移值与在相同水平的太平洋赤道暗流中观察到的数量级相同。相反,在每一层中具有恒定密度的两层模型在两层中都产生正的Stokes漂移。如本文所示,这与以下事实矛盾:对于任意Brunt-Vaeisaelae频率,垂直积分的斯托克斯漂移(斯托克斯通量)必须为零。

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  • 来源
    《Journal of Physical Oceanography》 |2014年第2期|591-599|共9页
  • 作者单位

    Department of Geosciences, University of Oslo, P.O. Box 1022 Blindern, 0315 Oslo, Norway;

    Norwegian Meteorological Institute, Oslo, Norway;

    Department of Earth Science, University of Gothenburg, Gothenburg, Sweden;

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