Nonlinear wind wave model under effects of wind and dissipation: Establishment and validation

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion Pub Date : 2025-02-22 DOI:10.1016/j.wavemoti.2025.103516

Wenhao Cheng , Zeng Liu , Jifeng Cui , Jianglong Sun

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引用次数: 0

Abstract

Nonlinear model for the long-time evolution of two-dimensional water waves under wind forcing effect and energy dissipation effect is established. The wind forcing terms constitute the Miles’ shear flow theory and the Jeffreys’ sheltering theory with a wind model criterion to determine when and which model to use. The dissipation terms consist of non-breaking dissipation parts and breaking dissipation parts. A wave-breaking onset criterion based on the ratio of local energy flux velocity to the local crest velocity is used for the determining wave breaking. Numerical evolutions of focusing wave trains solved by the wind wave model are compared with previous works to validate the non-breaking and breaking dissipation terms. Non-breaking focusing wave groups under different wind conditions are resolved and the results are compared with previous experimental studies to validate the wind forcing terms. After the validation, the long-time evolutions of the modulational instability wave trains under wind action and wind forcing conditions are investigated by the wind wave model. The variations of surface profiles, wave energy, and spectrum with the effects of wind forcing and energy dissipation are analyzed.

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风和耗散作用下的非线性风波模型：建立与验证

建立了二维水波在风强迫和能量耗散作用下长时间演化的非线性模型。风强迫项构成了Miles的切变流理论和Jeffreys的遮蔽理论，并有一个风模式准则来确定何时和使用哪种模式。耗散项包括非破断耗散项和破断耗散项。采用基于局部能量流速度与局部波峰速度之比的破波起始判据来确定破波。将风波模型求解的聚焦波列的数值演化与前人的工作进行了比较，验证了非破碎和破碎耗散项的正确性。对不同风况下的非破碎聚焦波群进行了解析，并与前人的实验研究结果进行了对比，验证了风强迫项的正确性。验证后，利用风浪模型研究了在风作用和风强迫条件下调制不稳定波列的长时间演化过程。分析了海面剖面、波浪能和波谱随风强迫和能量耗散的变化规律。

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.