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arXiv 2608.03657physics.flu-dynphysics.ao-ph

带有斯托克斯波的多风海面

A windy sea surface with Stokes waves

  • Indian Institute of Technology Bombay(印度理工学院孟买分校)

机构由 AI 辅助整理,请以论文原文为准。

Nikhil Yewale, Anil Kumar, Vinod Kumar Kadari, Ratul Dasgupta

中文总结 AI 辅助

该研究针对风驱动重力-毛细表面波的光滑-波纹态转变问题,求解非线性势流方程并映射至相空间,识别转变带与非单调依赖关系,通过次谐波稳定性分析揭示界面图案形成的机制,为海洋遥感提供见解。

中文摘要 AI 辅助

预测风驱动的重力-毛细表面波从光滑态向波纹态的转变,仍是非线性波力学中的一个长期问题。通过求解受驱动耗散的非线性势流方程,我们将波长为4-13厘米的这些波映射到雷诺数-波能量相空间中。我们识别出一条分隔光滑态与波纹态波的转变带,在该带内,波陡度对雷诺数呈现非单调依赖关系。次谐波(不)稳定性分析表明,增长最快的模态会加剧载波波交替面上的波纹,这为界面图案形成及海洋遥感提供了具有广泛意义的见解。

英文摘要

Predicting the transition of wind-forced, gravito-capillary surface waves from smooth to corrugated states remains a longstanding problem in nonlinear surface wave mechanics. Solving driven-dissipative, nonlinear potential flow equations we map these waves ($4-13$ cm) onto a Reynolds number -- wave energy phase-space. We identify a transition band separating smooth from corrugated wave states - the wave steepness exhibits a non-monotonic dependence on Reynolds number within this. Subharmonic (in)stability analysis reveals that the fastest-growing mode intensifies corrugations on alternate faces of the carrier wave. Our results offer insights into parasitic capillary wave formation on steep carrier waves and are of interest to ocean remote-sensing.

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