三角域水波模型的低模态相互作用

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion Pub Date : 2024-11-21 DOI:10.1016/j.wavemoti.2024.103453

P. Panayotaros , R.M. Vargas-Magaña

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引用次数: 0

摘要

我们研究了一个与水平轴成45°角的倾斜横向边界域中的重力水波。我们考虑自由表面势流和一个包含二阶非线性相互作用的简化模型。这种特殊的几何结构可以得到经典的正态模态和频率的半显式表达式，我们利用这些信息来计算模态相互作用系数。我们进一步利用部分正态形式计算了最低频率模态非线性频率校正的幅值依赖性。给出了两种最低模态截断系统的一般计算和数值结果。

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Low mode interactions in water wave model in triangular domain

We study gravity water waves in a domain with inclined lateral boundaries that make a

45

°angle with the horizontal axis. We consider free surface potential flow and a simplified model that contains quadratic nonlinear interactions among the normal modes. The particular geometry leads to classical semi-explicit expressions for the normal modes and frequencies, and we use this information to compute the mode interaction coefficients. We further use a partial normal form to compute the amplitude dependence of nonlinear frequency correction of the lowest frequency mode. We indicate the general computation and present numerical results for a truncations to a system for the two lowest modes.

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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.