具有二次深度依赖性的剪切流面波建模

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion Pub Date : 2024-05-06 DOI:10.1016/j.wavemoti.2024.103343

Conor Curtin, Rossen Ivanov

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引用次数: 0

摘要

海洋中的洋流对海洋动力学有严重影响，因为它们会影响质量的传输，进而影响盐度、营养物质和污染物的分布。在许多具有重要物理意义的情况下，洋流与深度成二次方关系。我们考虑了单层流体，并研究了在深度依赖二次剖面海流的情况下表面波的传播。我们选择了典型的布森斯克传播机制（长波和小振幅极限）的参数和量纲，并推导出了与海流相互作用的面波的著名 KdV 模型。

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Modelling surface waves on shear current with quadratic depth-dependence

The currents in the ocean have a serious impact on ocean dynamics, since they affect the transport of mass and thus the distribution of salinity, nutrients and pollutants. In many physically important situations the current depends quadratic-ally on the depth. We consider a single layer of fluid and study the propagation of the surface waves in the presence of depth-dependent current with quadratic profile. We select the scale of parameters and quantities, which are typical for the Boussinesq propagation regime (long wave and small amplitude limit) and we also derive the well known KdV model for the surface waves interacting with current.

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来源期刊

Wave Motion 物理-力学

CiteScore

4.10

自引率

8.30%

发文量

118

审稿时长

3 months

期刊介绍： Wave Motion is devoted to the cross fertilization of ideas, and to stimulating interaction between workers in various research areas in which wave propagation phenomena play a dominant role. The description and analysis of wave propagation phenomena provides a unifying thread connecting diverse areas of engineering and the physical sciences such as acoustics, optics, geophysics, seismology, electromagnetic theory, solid and fluid mechanics. The journal publishes papers on analytical, numerical and experimental methods. Papers that address fundamentally new topics in wave phenomena or develop wave propagation methods for solving direct and inverse problems are of interest to the journal.