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首页> 外文期刊>Nonlinear Processes in Geophysics Discussions >Generation of second mode solitary waves by the interaction of a first mode soliton with a sill
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Generation of second mode solitary waves by the interaction of a first mode soliton with a sill

机译:通过第一模式孤子与窗台相互作用产生第二模式孤波

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摘要

Results of an experimental and theoretical study of the interaction of a first mode internal solitary wave with a localised bottom topography (sill) are presented. Laboratory experiments have been performed in a 10m long and 0.33m wide channel filled with a stratified fluid. The interface between the two layers (fresh and salt water) is diffuse and has a finite thickness. Soliton-type disturbances of the interface having characteristics of the first baroclinic mode are generated at one channel end. They move along the channel and encounter an underwater obstacle (sill) in the middle of the channel, where they break into reflected and transmitted waves. Two types of internal waves are produced by the interaction: a fast first mode internal soliton and a slower (by a factor of approximately 3) second mode soliton-like wave. A numerical model, based on the two-dimensional Navier-Stokes equations in the Boussinesq approximation, is used tore produce the laboratory experiment. The detailed analysis of the horizontal and vertical structures of transmitted and reflected waves showed that the fast reflected and transmitted waves observed in the experiment can be interpreted as a first mode internal solitary wave whose characteristics are very close to those of the K-dV solitons. It is also demonstrated that the slow speed waves, generated during the interaction behind the first fast wave have vertical and horizontal structures very close to the second mode internal K-dV solitons.
机译:给出了第一模式内部孤立波与局部底部地形(窗台)相互作用的实验和理论研究的结果。在充满分层流体的10m长,0.33m宽的通道中进行了实验室实验。两层(新鲜水和盐水)之间的界面是分散的,且厚度有限。具有一个第一斜压模式特征的界面的孤子型扰动在一个通道端产生。它们沿着通道移动,并在通道中间遇到水下障碍物(门槛),在那里它们分裂成反射波和透射波。相互作用产生两种类型的内部波:快速的第一模内部孤子和较慢的(近似三倍)类第二孤子波。一个基于Boussinesq近似中的二维Navier-Stokes方程的数值模型被用来进行实验室实验。对透射波和反射波的水平和垂直结构的详细分析表明,在实验中观察到的快速反射波和透射波可以解释为一种第一模内部孤立波,其特性与K-dV孤子非常接近。还证明了在第一快波之后的相互作用期间产生的慢速波具有非常接近第二模式内部K-dV孤子的垂直和水平结构。

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