长界面内波与流相互作用：具有二次深度依赖的流剖面
Long interfacial internal waves with currents: current profiles with quadratic depth-dependence
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中文总结 AI 辅助
本研究针对存在流的海洋环境，采用深度二次函数的流剖面，推导出描述温跃层内波的可积Gardner方程及变底情形的广义方程，并揭示系数对赤道潜流参数的高度敏感性。
中文摘要 AI 辅助
内波通常在存在流的情况下传播。内波和流在世界海洋中广泛存在。赤道内波和赤道潜流（EUC）或许是这一现象最具代表性的例证。本研究中的流剖面是深度的二次函数，这与赤道潜流的已知结果一致。在此假设下，推导出可积的非线性Gardner方程，作为温跃层波动运动的模型，该温跃层分隔了两层密度略有差异的水体。此外，在变底地形的情况下，我们推导了广义Gardner方程。我们证明了该方程的系数对赤道潜流的参数非常敏感。
英文摘要
Internal waves often propagate in the presence of currents. Internal waves and currents are widespread in the world's oceans. The equatorial internal waves and the equatorial undercurrent (EUC) are perhaps the most representative illustration of this phenomenon. The current profile in this study is a quadratic function of depth, which is in agreement with the known results of the EUC. With this assumption the integrable nonlinear Gardner's equation is derived as a model for the wave motion of the thermocline, separating the two layers of slightly different densities. In addition, we derive the generalised Gardner's equation in the case of variable bottom. We demonstrate that the coefficients of the equation are very sensitive with respect to the parameters of the EUC.
发表机构
- Technological University Dublin（都柏林理工大学）
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