中文摘要：

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SPIt方法在处理较复杂自由表面流动问题方面的优越性。

英文摘要：

Shoaling of solitary waves on a uniform plane beach connected to a constant-depth wave tank is investigated numerically using the smoothed particle hydrodynamics （SPH） method. The characteristics of water surface elevations and breaking have been analyzed. For validating the numerical model, the relative wave heights, and the time histories of the free surface profiles at several locations have been compared with the experimental results from the published literatures. It shows in good agreement. In addition, the height variation, breaking point, breaking height and type are also analyzed. It can be concluded that SPH method is feasible for solving flow problems with complex free surface.