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首页> 外文期刊>Journal of Physical Oceanography >Refraction and Shoaling of Nonlinear Internal Waves at the Malin Shelf Break
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Refraction and Shoaling of Nonlinear Internal Waves at the Malin Shelf Break

机译：马林层架断裂处非线性内波的折射和浅滩

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摘要

This paper applies a numerical model to explain the refraction and shoaling of nonlinear internal waves observed at the Malin slope for a sequence of tidal cycles in the summer of 1995. The model is first order in dispersion and second order in nonlinearity and is based on the extended Korteweg―de Vries (EKdV) equation. The EKdV model is applied along a set of rays and includes the effect of variable depth. The model predicts that an initial long-wavelength wave, which lies in water of depths between 500 and 900 m, develops into a set of internal solitary waves as it passes across the shelf break and onto the continental shelf, in agreement with observations. The extent of refraction is small because the internal waves are high frequency, and in this case the refraction is not strongly dependent on the nonlinear adjustment to phase speed. In the observations, the internal-wave amplitude, measured in terms of near-surface currents or thermocline displacement, initially grows as the wave crosses the slope and then is capped as the shelf is reached. The numerical experiments suggest that this behavior is due to a particular nonlinear feature of the EKdV equation, which predicts the existence of limiting wave amplitudes. The properties of simulated internal waves that arose from an idealized initial waveform were close to those observed. However, the numerical evolution of waves from a realistic initial condition showed some differences to the observed. It is suggested that these differences are due to neglect of strong nonlinearity and turbulence in the model.
机译：本文应用数值模型解释了1995年夏季在马林坡上观测到的一系列潮汐周期中非线性内波的折射和浅滩分布。该模型基于离散度为一阶，基于非线性度为二阶。扩展的Korteweg-de Vries（EKdV）方程。 EKdV模型沿着一组射线应用，并包括可变深度的影响。该模型预测，初始长波位于水深500至900 m之间，当它穿过陆架断裂并到达大陆架时，会发展成一组内部孤立波，这与观测结果一致。折射的程度很小，因为内部波是高频的，在这种情况下，折射不强烈依赖于相位速度的非线性调节。在观测结果中，以近地表电流或热跃线位移为单位的内波幅度最初随着波跨坡而增大，然后随着到达架子而被封闭。数值实验表明，此行为是由于EKdV方程的特定非线性特征引起的，该特征预测了极限波振幅的存在。由理想化的初始波形产生的模拟内部波的特性接近观察到的特性。但是，从实际的初始条件开始的波数值演化与观察到的结果有些不同。建议这些差异是由于忽略了模型中强烈的非线性和湍流。

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  • 来源
    《Journal of Physical Oceanography》 |2003年第12期|p.2657-2674|共18页
  • 作者

    JUSTIN SMALL;

  • 作者单位

    International Pacific Research Center, School of Ocean and Earth Science and Technology, University of Hawaii at Manoa, 2525 Correa Rd., Honolulu, HI 96822;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 海洋学;
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