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首页> 外文期刊>Journal of Physical Oceanography >Modelling of Polarity Change in a Nonlinear Internal Wave Train in Laoshan Bay
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Modelling of Polarity Change in a Nonlinear Internal Wave Train in Laoshan Bay

机译：o山湾非线性内波列极性变化模拟

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There are now several observations of internal solitary waves passing through a critical point where the coefficient of the quadratic nonlinear term in the variable coefficient Korteweg-de Vries equation changes sign, typically from negative to positive as the wave propagates shoreward. This causes a solitary wave of depression to transform into a train of solitary waves of elevation riding on a negative pedestal. However, recently a polarity change of a different kind was observed in Laoshan Bay, China, where a periodic wave train of elevation waves converted to a periodic wave train of depression waves as the thermocline rose on a rising tide. This paper describes the application of a newly developed theory for this phenomenon. The theory is based on the variable coefficient Korteweg-de Vries equation for the case when the coefficient of the quadratic nonlinear term undergoes a change of sign and predicts that a periodic wave train will pass through this critical point as a linear wave, where a phase change occurs that induces a change in the polarity of the wave, as observed. A two-layer model of the density stratification and background current shear is developed to make the theoretical predictions specific and quantitative. Some numerical simulations of the variable coefficient Korteweg-de Vries equation, and also the extended variable coefficient Korteweg-de Vries equation, are reported that confirm the theoretical predictions and are in good agreement with the observations.
机译：现在，有一些内部孤立波通过一个临界点的观察，在该临界点处，随着波向岸传播，可变系数Korteweg-de Vries方程中的二次非线性项的系数会改变符号，通常从负变为正。这将导致一个孤立的凹陷波转换成一系列负的基座上的单独的高程波。但是，最近在中国La山湾发现了另一种极性变化，随着温跃层在涨潮时上升，海拔高度的周期性波列转换为低压波的周期性波列。本文介绍了这种现象的最新理论的应用。该理论基于可变系数Korteweg-de Vries方程，适用于当二次非线性项的系数经历符号变化并预测周期波列将作为线性波通过此临界点的情况，其中相位如所观察到的，发生了改变，该改变引起了波的极性的改变。建立了密度分层和背景电流剪切的两层模型，以使理论预测具有针对性和定量性。报道了一些可变系数的Korteweg-de Vries方程的数值模拟，以及扩展的可变系数的Korteweg-de Vries方程，证实了理论预测并与观测值非常吻合。

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