Abstract
The wave-structure interaction for surface-piercing bodies is a challenging problem in both coastal and ocean engineering. In the present study, a two-dimensional numerical wave flume that is based on a newly-developed meshless scheme with the generalized finite difference method (GFDM) is constructed in order to investigate the characteristics of the hydrodynamic loads acting on a surface-piercing body caused by the second-order Stokes waves. Within the framework of the potential flow theory, the second-order Runge-Kutta method (RKM2) in conjunction with the semi-Lagrangian approach is carried out to discretize the temporal variable of governing equations. At each time step, the GFDM is employed to solve the spatial variable of the Laplace’s equation for the deformable computational domain. The results show that the developed numerical method has good performance in the simulation of wave-structure interaction, which suggests that the proposed “RKM2-GFDM” meshless scheme can be a feasible tool for such and more complicated hydrodynamic problems in practical engineering.
Highlights
Surface-piercing structures are widely employed in both coastal and ocean engineering, such as fixed or floating breakwater, porous membranes, and net-type structures, and hybrid breakwater-WEC system [1,2,3]
A physical problem regarding the interaction between the second-order Stokes wave and the single surface-piercing body is studied in order to validate the accuracy and stability of the proposed meshless scheme
We develop a novel meshless numerical method for the problem with respect to the wave-structure interaction between the nonlinear water waves and a stationary surface-piercing body
Summary
Surface-piercing structures are widely employed in both coastal and ocean engineering, such as fixed or floating breakwater, porous membranes, and net-type structures, and hybrid breakwater-WEC system [1,2,3]. Benito et al [22,23] analyzed the influence of some critical parameters of the method on numerical accuracy, as well as successfully solved the parabolic and hyperbolic equations while using the GFDM In their developed numerical scheme, the spatial derivatives can be expressed as a linear-combined system of function values using various weighting coefficients, which makes the GFDM an easy-to-program meshless scheme as compared with other numerical methods
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