基于三维线性深水IGN模型的斜向规则波时域模拟研究
Study on the Time-Domain Simulation of Oblique Regular Wave Based on the Three-Dimensional Linear Deep-Water IGN Model
赵彬彬 1王泽航 1段文洋1
作者信息
- 1. 哈尔滨工程大学船舶工程学院，哈尔滨 150001
- 折叠
摘要
目前，二维非线性深水IGN（Irrotational Green-Naghdi）模型可实现深海长峰不规则波的高效数值模拟和波峰短期统计的精准预报，而实际海洋中多为短峰不规则波，因此急需将模型拓展至三维并分析其性能。因此，为验证三维非线性深水IGN模型的正确性和数值算法的稳定性及精度，本文推导三维线性深水IGN模型，结合时域数值算法对沿不同方向传播的线性斜向规则波进行数值模拟研究，给出波浪场的空间分布和稳定区域内的时间历程，并与线性波浪理论解析解进行对比分析。研究表明，对于沿不同方向传播的线性规则波，在有效区域内，波高数值结果均与理论值保持一致，验证了模型的正确性和数值算法的稳定性及精度，为后续模型在非线性/多向性深水波浪问题中的应用提供了坚实基础。Abstract
At present, the two-dimensional nonlinear deep-water IGN (Irrotational Green-Naghdi) model enables efficient numerical simulation of long-crested irregular waves in deep sea and accurate short-term statistical prediction of wave crests. However, since actual ocean waves are mostly short-crested irregular waves, there is an urgent need to extend the model to three dimensions and analyze its performance. Therefore, to verify the correctness of the three-dimensional nonlinear deep-water IGN model and the stability and accuracy of the numerical algorithm, this paper derives the three-dimensional linear deep-water IGN model and combines it with a time-domain numerical algorithm to conduct numerical simulation studies on linear oblique regular waves propagating in different directions. The spatial distribution of the wave field and the time history within a stable region are provided, and a comparative analysis is performed with the analytical solutions of linear wave theory. The research shows that for linear regular waves propagating in different directions, within the effective region, the numerical results of wave height are consistent with the theoretical values, verifying the correctness of the model and the stability and accuracy of the numerical algorithm. This provides a solid foundation for the subsequent application of the model to nonlinear/multidirectional deep-water wave problems. 关键词
流体力学/深水IGN模型/线性波/斜向规则波/时域模拟/模型验证Key words
fluid mechanics/deep-water IGN model/linear waves/oblique regular waves/time-domain simulation/model validation引用本文复制引用
赵彬彬,王泽航,段文洋.基于三维线性深水IGN模型的斜向规则波时域模拟研究[EB/OL].(2025-11-04)[2025-12-07].http://www.paper.edu.cn/releasepaper/content/202511-2.学科分类
力学
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