Study on the propagation of regular water waves in a numerical wave flume with the ?-SPHC model

Waves, a phenomenon of variable scale fluctuations common to the surface of the ocean, are the major loads acting on marine floats and play a pivotal role in the study of the hydrodynamics of offshore and deep-water structures. In this work, a two-dimensional (2D) numerical wave flume (NWF) is formed to simulate the propagation of regular water waves by the weakly compressible smoothed particle hydrodynamics-based (WCSPH) model. Artificial density and viscosity diffusion terms are used to stabilize the pressure field and numerical simulation, respectively. Based on the o-SPH model, the o-SPHC one is constructed by introducing the correction matrix into the calculation of the pressure gradient operator in the momentum equation. The o-SPHC model can guarantee second-order calculation accuracy even if the kernel function support domain is truncated. Besides, the destruction of momentum conservation can be greatly suppressed with its high symmetric, which facilitates the reduction of energy dissipation in the wave propagation process. In order to confirm the accuracy and stability of the developed 2D o-SPHC-based NWF, five classical benchmark tests are examined and discussed. The simulation results indicate that the adopted numerical wave flume performs well in predicting the dynamic evolution of regular water waves, which shows its potential for further investigation of more challenging hydrodynamic issues in real-world applications.