Some New Aspects of the Joint Effect of Rotation and Topography on Internal Solitary Waves
Some New Aspects of the Joint Effect of Rotation and Topography on Internal Solitary Waves
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旋转和地形对内孤立波的联合影响的一些新方面
DOI：
10.1175/jpo-d-18-0154.1
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发表时间：
2019
影响因子：
3.5
通讯作者：
K. Helfrich
中科院分区：
文献类型：
--
作者：
L. Ostrovsky;K. Helfrich
利用最近发展的旋转海洋倾斜底部内孤立波传播的渐近理论，分析了两层海洋内波的该过程的一些新的定性和定量特征。讨论了不同奇点之间的相互作用——由于辐射和消失的二次非线性而导致的终端阻尼，以及达到“内部海滩”（例如，零下层深度）。更详细地考虑了实际条件下均匀倾斜底部上单个孤立波的绝热演化示例，并与变系数、旋转修正的 Korteweg-de Vries (rKdV) 方程的数值解进行了比较。
Using a recently developed asymptotic theory of internal solitary wave propagation over a sloping bottom in a rotating ocean, some new qualitative and quantitative features of this process are analyzed for internal waves in a two-layer ocean. The interplay between different singularities—terminal damping due to radiation and disappearing quadratic nonlinearity, and reaching an “internal beach” (e.g., zero lower-layer depth)—is discussed. Examples of the adiabatic evolution of a single solitary wave over a uniformly sloping bottom under realistic conditions are considered in more detail and compared with numerical solutions of the variable-coefficient, rotation-modified Korteweg–de Vries (rKdV) equation.