Abstract: The time-reversal method, as a wave signal processing technique, has shown great potential in the field of wave reconstruction in recent years. However, existing studies have mostly focused on using the time-reversal method to reconstruct wave trains under specific water depth conditions, without considering the influence of water depth variations on time-reversal wave train reconstruction. In this study, a high-precision two-dimensional numerical wave tank is established based on the open-source smoothed particle hydrodynamics (SPH) model DualSPHysics. Through numerical experiments of time-reversal wave train reconstruction under different water depth conditions, the influence of water depth variation on the evolution of the wave elevation and the time-frequency characteristics of the target wave train is analyzed in detail. This study not only verifies the reliability of the DualSPHysics model in simulating strongly nonlinear wave problems but also provides important data support for the engineering application of the time-reversal technique under varying water depth conditions, which is of significant importance for improving the safety assessment capability of ships and offshore structures subjected to strongly nonlinear waves.

Key words: time-reversal method, water depth effects, DualSPHysics model, wave reconstruction, smoothed particle hydrodynamics (SPH) method

摘要： 时间反转方法作为一种波动信号的处理技术,近年来在水波重构领域展现出巨大潜力。然而,现有研究多集中于利用时间反转方法在特定水深条件下进行波列重构,没有考虑水深变化对时间反转波列重构的影响。该文基于开源光滑粒子流体动力学DualSPHysics数值模型,构建了高精度的二维数值水池,通过在不同水深条件下开展时间反转波列重构数值试验,详细分析了水深变化对目标波列波面形态演化及时频特性的影响规律。该研究不仅验证了DualSPHysics模型在模拟强非线性波浪问题中的可靠性,也为时间反转技术在不同水深条件下的工程应用提供了重要的数据支撑,对提升船舶及海洋结构物在强非线性波浪作用下的安全性评估能力具有重要意义。

关键词: 时间反转方法, 水深效应, DualSPHysics数值模型, 波浪重构, 光滑粒子流体动力学方法