Abstract
A systematic verification and validation (V&V) of our previously proposed momentum source wave generation method is performed. Some settings of previous numerical wave tanks (NWTs) of regular and irregular waves have been optimized. The H2-5 V&V method involving five mesh sizes with mesh refinement ratio being 1.225 is used to verify the NWT of regular waves, in which the wave height and mass conservation are mainly considered based on a Lv3 (Hs = 0.75 m) and a Lv6 (Hs = 5 m) regular wave. Additionally, eight different sea states are chosen to validate the wave height, mass conservation and wave frequency of regular waves. Regarding the NWT of irregular waves, five different sea states with significant wave heights ranging from 0.09 m to 12.5 m are selected to validate the statistical characteristics of irregular waves, including the profile of the wave spectrum, peak frequency and significant wave height. Results show that the verification errors for Lv3 and Lv6 regular wave on the most refined grid are −0.018 and −0.35 for wave height, respectively, and −0.14 and for −0.17 mass conservation, respectively. The uncertainty estimation analysis shows that the numerical error could be partially balanced out by the modelling error to achieve a smaller validation error by adjusting the mesh size elaborately. And the validation errors of the wave height, mass conservation and dominant frequency of regular waves under different sea states are no more than 7%, 8% and 2%, respectively. For a Lv3 (Hs = 0.75 m) and a Lv6 (Hs = 5 m) regular wave, simulations are validated on the wave height in wave development section for safety factors FS ≈ 1 and FS ≈ 0.5–1, respectively. Regarding irregular waves, the validation errors of the significant wave height and peak frequency are both lower than 2%.
摘要
本文针对一种动量源项造波方法开展了系统的验证和确认(V&V)研究. 首先对规则波和随机波数值水池的一些参数进行了优 化. 之后采用H2-5 V&V方法, 包含五套网格, 网格细化率为1.225, 用于验证规则波的数值波浪水池, 主要针对三级(Hs = 0.75 m)和六 级(Hs = 5 m)规则波浪的波高和质量守恒对规则波数值水池开展验证研究. 此外, 还选择了八种不同的海况开展规则波浪的波高、质量 守恒和波频确认研究. 关于随机波数值波浪水池, 选择了五种不同的海况, 其有效波高在0.09 m至12.5 m之间, 以验证随机波浪的统计 特征, 包括波浪谱谱形、峰值频率和有效波高. 结果表明, 在最精细的网格上, 3级和6级规则波的波高验证误差分别为−0.018和−0.35, 质量守恒验证误差分别是−0.14和−0.17. 不确定性分析表明, 通过调整网格尺寸, 数值误差可以被建模误差部分抵消, 从而获得较小的 确认误差. 不同海况下规则波的波高、质量守恒和频率的确认误差分别不超过7%、8%和2%. 对于3级(Hs = 0.75 m)和6级(Hs = 5 m)规 则波, 分别在安全系数FS ≈ 1和FS ≈ 0.5~1的情况下, 对波浪发展段的波高进行了确认. 随机波浪的有效波高和峰值频率的确认误差均 小于2%.
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Acknowledgements
This work was supported by the National Key R&D Program of China (Grant No. 2022YFB3303500).
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Author contributions Housheng Zhang is responsible for formal analysis, investigation, methodology, visualization and writing, specifically including the numerical set-up and the results’ processing, writing of the first draft of the manuscript, and presentation of the published work. Yijing Hu is responsible for formal analysis, methodology, validation and writing, specifically including application of mathematical techniques to analyze study data and design of V&V methodology. Biao Huang is responsible for supervision and writing, specifically including review & editing, oversight and the research activity planning and execution. Xin Zhao is responsible for conceptualization, supervision and writing, specifically including review & editing, formulation of overarching research goals, oversight and the research activity planning and execution.
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Zhang, H., Hu, Y., Huang, B. et al. Verification and validation of a numerical wave tank with momentum source wave generation. Acta Mech. Sin. 41, 324127 (2025). https://doi.org/10.1007/s10409-024-24127-x
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DOI: https://doi.org/10.1007/s10409-024-24127-x