近年来，数值波浪水池已成为波浪模拟及波浪与结构物相互作用研究的重要手段。采用调和多项式单元法（HPC）高精度求解Laplace方程，引入体积分数法（VOF）实现自由面的稳定模拟与精确追踪，构建了全非线性HPC-VOF波浪水池。基于HPC理论框架采用域分解方法开发了各种非线性波浪的质量源造波技术，对深水五阶Stokes波模拟进行了网格和时间步收敛性研究。HPC-VOF波浪水池中不同参数的五阶Stokes波和椭圆余弦波的生成、传播和演化的时域模拟验证了不同水深条件下非线性波浪模拟的高效性，与解析解或参考文献数据的对比结果表明，数值波浪水池能高精度地再现非线性波浪的特征。此外，对微幅入射波和垂直壁面反射波叠加形成驻波的模拟能准确重现其演化过程及驻波的典型振动模式。

英文摘要:

In recent years, numerical wave tanks have become an essential tool for wave simulation and the study of wave-structure interactions. This paper presents a fully nonlinear HPC-VOF wave tank, in which the harmonic polynomial cell (HPC) method is employed to solve the Laplace equation with high accuracy, while the volume of fluid (VOF) method is used to stably and precisely model the moving free surface. Based on the HPC framework, a domain decomposition approach is developed to generate nonlinear waves using mass-source techniques. Grid and time-step convergence studies are performed for deep-water fifth-order Stokes wave simulations. Time-domain simulations of fifth-order Stokes waves and cnoidal waves under different parameters in the HPC-VOF tank demonstrate its capability to simulate the generation, propagation, and evolution of nonlinear waves under varying water depths. Comparisons with analytical solutions and reference data confirm the high accuracy of the numerical wave tank in reproducing nonlinear wave characteristics. Simulations of standing waves formed by the superposition of incident small-amplitude waves and vertically reflected waves accurately reproduce their evolution and typical vibration modes of the standing wave.

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