The Moving Particle Semi-implicit (MPS) method is a meshless method based on the Lagrangian perspective. It effectively avoids mesh distortion when simulating problems with large free-surface deformations, such as water entry and exit of structures, numerical wave generation, and dam breaks. Additionally, its free surface detection algorithm is straightforward and ensures accurate interface tracking, showing broad application prospects. To date, research on numerical wave generation using the MPS method has primarily focused on wave-structure interactions, with relatively limited validation analysis dedicated to the wave generation process itself. To address this gap, this study establishes a two-dimensional numerical wave tank model based on the MPS method, incorporating an improved particle shifting scheme and stabilization operators. Regular waves were generated using a piston-type wavemaker and numerically absorbed in a damping zone. Multiple sets of regular waves with different parameters were simulated to analyze the influence of damping coefficients on the results. Furthermore, the model was validated against experimental motion data of a floating box in waves. The results demonstrate that the proposed model can accurately simulate regular waves with various parameters. The wave amplitude error is positively correlated with the reflected wave energy, and selecting appropriate damping coefficients can effectively minimize the influence of reflected waves on the numerical results. Moreover, the simulated motion time history of the floating box agrees well with the experimental data, confirming the feasibility of the model for solving wave-structure interaction problems.

The vortex-induced vibration (VIV) of a cylinder with mass ratio 2.6 and damping ratio 0.0036 at different reduced velocities has been numerically simulated based on the overset grid method. The amplitude, frequency ratio, wake vortex shedding modes and nonlinear characteristics of the VIV response are systematically analyzed. With the increase of the reduced velocity, the VIV response of the cylinder switches four times, but only once the phase difference between the transverse flow vibration response and the vortex force coefficient changes abruptly, which causes the wake vortex shedding mode to change from “2T” mode to “2P” mode. In addition, the velocity variation range of the VIV of the cylinder is smaller than its displacement variation range under any reduced velocities. When the reduced velocity is 4.0, the VIV of the cylinder is chaotic in both the streamwise and transverse directions. When the reduced velocity is 8.0, the VIV of the cylinder is also chaotic in the transverse direction, but still is self-limited. Under the other reduced velocities, the vibrations of the cylinder are regular and stable in the streamwise and transverse directions.