Three-dimensional numerical wave tank containing submerged breakwaters based on the localized method of fundamental solutions

Abstract

This paper presents a meshless computational framework to simulate nonlinear water wave propagation behaviors of three-dimensional (3D) numerical wave tank containing submerged trapezoidal breakwaters. In the present computational framework, the localized method of fundamental solutions (LMFS) is used to spatial discretization, which is a localized meshless collocation method based on fundamental solutions and moving least square (MLS) technique, and fourth-order predictor-corrector scheme is used to temporal discretization. 3D numerical wave tanks containing single submerged trapezoidal breakwater and double submerged trapezoidal breakwaters are established by using LMFS. The LMFS results are compared with analytical results and experimental data through benchmarks. The effects of variations in incident wave parameters and shape parameters of the submerged trapezoidal breakwater on wave propagation are further analyzed. Additionally, the influence of double submerged trapezoidal breakwaters on the nonlinear water wave propagation behavior is investigated in comparison with the single submerged trapezoidal breakwater. Moreover, the effect of breakwater orientation on wave propagation is presented.