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本文应用光滑粒子流体动力学(SPH)方法建立了二维数值波浪水槽,研究了孤立波沿斜坡的传播、变形和破碎过程。通过数值计算分析了波浪沿斜坡传播过程中自由表面的变化特征,给出了斜坡上不同位置处波面变化的历时曲线,并应用文献记录的试验结果对数模结果进行了验证。得到了波高的沿程变化趋势、破波点的位置和破碎波高以及不同破碎形态下波浪自由表面的变化特征,显示了SPH方法在处理较复杂自由表面流动问题方面的优越性。
In this paper, a two-dimensional numerical wave tank is established by using the method of smooth particle hydrodynamics (SPH). The propagation, deformation and crushing process of isolated wave along the slope are studied. The variation characteristics of free surface during the wave propagation along the slope are analyzed by numerical calculation, and the time history curve of the wave surface at different positions on the slope is given. The results of the numerical simulation are verified by the documented results. The variation trend of wave height, the position of breaking point, the breaking wave height and the variation of the free surface of the wave under different breaking patterns are obtained. It shows the superiority of the SPH method in dealing with the complicated free surface flow problem.