内河航道船行波最大波高经验公式修正

Correction of the empirical formula for the maximum height of ship-generated waves in inland waterways

  • 摘要: 随着内河航运的快速发展,船舶大型化与密集化趋势日益显著,其运动产生的船行波对航道堤岸的侵蚀与破坏问题已成为影响航道安全与生态环境的关键因素。为深入研究内河航道中船舶运动对堤岸的影响,本文基于OpenFOAM软件与Overset重叠网格技术,结合最新适用于波浪破碎与演化的湍流模型,建立了高精度数值仿真模型,用于分析船舶运动产生的船行波演变及其主要影响因素。在现有物理模型试验及建立的仿真模型上,针对12组不同工况系统研究了船速与吃水深度变化对船行波的影响规律。研究结果表明:当船舶航行时,首先在船体周围产生显著的壅水现象,继而在船艏与船艉激起各自的发散波系;波浪在向外传播过程中与航道岸壁发生相互作用,产生反射波,并与主波系叠加,共同构成了完整的船行波场;波态的演变受壅水效应和岸壁反射效应的综合影响,并且随着传播距离的增加,波能逐渐耗散,船行波也表现出明显的衰减特性;随着船速增加,船行波波峰与波谷高度明显升高,壅水波及船艏、船艉散波增强,同时波长缩短,这表明船速对波形幅值和空间分布具有显著影响;船舶吃水深度的作用更为显著,不仅导致尾流波贡献增大,还显著改变了船行波整体波形特征。最后基于多组数值仿真数据并引入吃水深度变量,修正了船行波最大波高经验公式,使其能够有效预测类似航道条件下的最大波高,为堤岸防护工程设计提供了理论依据。本研究建立的计算流体力学模型实现了船体-波浪-岸壁的动态耦合模拟,可为未来不同船型、不同航道条件下的船行波预测提供高效分析工具。

     

    Abstract: With the rapid and ongoing development of inland waterway transportation, there is a growing trend towards larger vessels and denser vessel traffic. A critical consequence of this trend is the generation of powerful ship waves, which have become a major cause of the erosion and structural damage of waterway banks. This issue poses significant challenges to the safety, stability, and ecological balance of inland navigation channels. To conduct an in-depth investigation into the complex hydrodynamic interactions between a moving vessel and the confined boundaries of a channel, this study develops a high-fidelity numerical simulation model. The model is based on the open-source Computational Fluid Dynamics (CFD) library, OpenFOAM, and innovatively integrates the Overset grid technology to accurately capture the complex, large-amplitude, and unsteady motions of the vessel. Furthermore, to enhance the precision of wave simulation, the model incorporates advanced turbulence models specifically suited for modeling wave breaking and evolution. This sophisticated framework is designed to meticulously analyze the evolution of ship-generated waves resulting from the vessel's forward motion and to identify the primary factors influencing their characteristics. The reliability and accuracy of the established numerical framework were rigorously validated against existing physical experimental data, ensuring its applicability for the subsequent parametric study. A systematic investigation was then conducted on a series of 12 distinct test cases, focusing on the effects of varying two key parameters: the ship's speed and its draft. The simulation results provide a detailed description of the complex formation process of ship waves in confined channels. Initially, as the vessel advances, a significant primary water level depression, or drawdown, is generated around the hull. This is immediately followed by the generation of distinct divergent wave systems originating from the bow and stern. As these waves propagate outward from the vessel’s path, they inevitably interact with the channel banks, leading to wave reflection. The reflected waves then superimpose on the primary wave systems, collectively forming the complete and intricate ship wave field. The evolution of the overall wave pattern is strongly influenced by the combined effects of the initial drawdown phenomenon and the bank reflection effects. Moreover, as expected, the wave energy gradually dissipates with increasing lateral distance from the ship's track, resulting in a distinct and measurable attenuation of the ship waves. The investigation into the influencing factors showed that ship speed significantly affects both the amplitude and the spatial distribution of the wave field. A measurable increase in ship speed leads to a marked increase in both the crest heights and trough depths of the ship waves. Concurrently, the primary drawdown as well as the bow and stern divergent waves are also intensified. A notable finding is that an increase in speed results in a shortening of the wavelength, indicating a more compact spatial distribution of wave energy. Comparatively, the influence of the ship's draft was found to be even more substantial and fundamental. An increase in draft indicates a larger volume of water displaced by the hull. This directly and substantially amplifies the magnitude of the wake waves, which are generated in the turbulent region behind the vessel's stern. This amplification does not merely increase the wave height but fundamentally alters the overall waveform characteristics and the morphological structure of the entire ship wave system. Finally, to translate these findings into practical engineering applications, this study uses the comprehensive dataset generated from the multiple numerical simulations. A key modification to the conventional empirical formula for maximum ship wave height is proposed by explicitly incorporating the ship draft as a key variable. The resulting revised formula demonstrates an improved ability to accurately predict the maximum wave heights under other operational conditions within similar channel configurations. This provides a reliable theoretical basis for the design and optimization of bank protection engineering. Moreover, the CFD computational framework established in this research represents a significant contribution in its own right. It provides a reliable, efficient, and versatile analytical tool for future investigations into ship wave prediction, capable of accommodating different ship types, complex channel geometries, and varied navigational conditions.

     

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