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首页> 外文期刊>Journal of Physical Oceanography >Combined Effect of Rotation and Topography on Shoaling Oceanic Internal Solitary Waves
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Combined Effect of Rotation and Topography on Shoaling Oceanic Internal Solitary Waves

机译：旋转和地形对浅海内孤立波的联合作用

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摘要

Internal solitary waves commonly observed in the coastal ocean are often modeled by a nonlinear evolution equation of the Korteweg-de Vries type. Because these waves often propagate for long distances over several inertial periods, the effect of Earth's background rotation is potentially significant. The relevant extension of the Kortweg-de Vries is then the Ostrovsky equation, which for internal waves does not support a steady solitary wave solution. Recent studies using a combination of asymptotic theory, numerical simulations, and laboratory experiments have shown that the long time effect of rotation is the destruction of the initial internal solitary wave by the radiation of small-amplitude inertia-gravity waves, and the eventual emergence of a coherent, steadily propagating, nonlinear wave packet. However, in the ocean, internal solitary waves are often propagating over variable topography, and this alone can cause quite dramatic deformation and transformation of an internal solitary wave. Hence, the combined effects of background rotation and variable topography are examined. Then the Ostrovsky equation is replaced by a variable coefficient Ostrovsky equation whose coefficients depend explicitly on the spatial coordinate. Some numerical simulations of this equation, together with analogous simulations using the Massachusetts Institute of Technology General Circulation Model (MITgcm), for a certain cross section of the South China Sea are presented. These demonstrate that the combined effect of shoaling and rotation is to induce a secondary trailing wave packet, induced by enhanced radiation from the leading wave.
机译：通常在沿海海洋中观察到的内部孤立波是通过Korteweg-de Vries类型的非线性演化方程建模的。由于这些波通常在几个惯性周期内传播很长的距离，因此地球背景旋转的影响可能很明显。然后，Kortweg-de Vries的相关扩展是Ostrovsky方程，该方程对于内部波不支持稳定的孤立波解。结合渐近理论，数值模拟和实验室实验的最新研究表明，旋转的长期影响是小幅惯性重力波的辐射破坏了初始内部孤立波，并最终导致了自转。相干，稳定传播的非线性波包。但是，在海洋中，内部孤立波通常在变化的地形上传播，仅此一项就可能导致内部孤立波发生相当剧烈的变形和转变。因此，研究了背景旋转和形貌变化的综合影响。然后，将Ostrovsky方程替换为可变系数的Ostrovsky方程，其系数明确取决于空间坐标。介绍了该方程的一些数值模拟，以及使用麻省理工学院总循环模型（MITgcm）进行的南海某断面的模拟。这些表明，浅滩和旋转的综合作用是引起次级尾波包，这是由前波的增强辐射引起的。

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  • 来源
    《Journal of Physical Oceanography》 |2014年第4期|1116-1132|共17页
  • 作者

    Roger Grimshaw; Chuncheng Guo; Karl Helfrich; Vasiliy Vlasenko;

  • 作者单位

    Department of Mathematical Sciences, Loughborough University, Loughborough, United Kingdom;

    Geophysical Institute, University of Bergen, Bergen, Norway;

    Department of Physical Oceanography, Woods Hole Oceanographic Institution, Woods Hole, Massachusetts;

    School of Marine Science and Engineering, Plymouth University, Plymouth, United Kingdom;

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