Wave propagation over a non-reflective profile of limited depth

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion Pub Date : 2024-07-03 DOI:10.1016/j.wavemoti.2024.103380

Ioann Melnikov

引用次数: 0

Abstract

Non-reflective wave propagation is of great importance for applications because it allows energy to be transmitted over long distances. The paper discusses the method of reducing the equations of the linear theory of shallow water to a wave equation with a variable coefficient in the form of an inverse hyperbolic sine, the solution of which is represented as a composition of traveling waves. Thanks to this, a new non-reflective bottom profile has been obtained, which reaches a constant at infinity. Wave behavior on the shore is discussed, as well as the conditions under which the wave field remains finite on it. A detailed analysis of the obtained exact solution to the shallow water equations is given in the paper.

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波在深度有限的非反射剖面上传播

非反射波的传播在应用中具有重要意义，因为它可以远距离传输能量。本文讨论了将浅水线性理论方程简化为具有反双曲正弦形式可变系数的波方程的方法，该方程的解表示为行波的组成。由此获得了一种新的非反射性底部轮廓，它在无限远处达到一个常数。讨论了海岸上的波浪行为，以及波场在海岸上保持有限的条件。论文对所获得的浅水方程精确解进行了详细分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.