Wave-Structure Interaction for a Stationary Surface-Piercing Body Based on a Novel Meshless Scheme with the Generalized Finite Difference Method

Ji Huang, Hongguan Lyu, Chia-Ming Fan, Jiahn-Hong Chen, Chi-Nan Chu and Jiayang Gu
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Ji Huang: College of Ocean Engineering, Guangdong Ocean University, Zhanjiang 524088, China
Hongguan Lyu: School of Marine Engineering and Technology, Sun Yat-sen University, Zhuhai 519082, China
Chia-Ming Fan: Department of Harbor and River Engineering and Computation and Simulation Center, National Taiwan Ocean University, Keelung 20224, Taiwan
Jiahn-Hong Chen: Department of Systems Engineering and Naval Architecture, National Taiwan Ocean University, Keelung 20224, Taiwan
Chi-Nan Chu: Department of Harbor and River Engineering and Computation and Simulation Center, National Taiwan Ocean University, Keelung 20224, Taiwan
Jiayang Gu: Marine Equipment and Technology Institute, Jiangsu University of Science and Technology, Zhenjiang 212003, China

Mathematics, 2020, vol. 8, issue 7, 1-22

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.

Keywords: wave-structure interaction; nonlinear water waves; surface-piercing body; meshless method; generalized finite difference method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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