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

Author

Listed:
  • Ji Huang

    (College of Ocean Engineering, Guangdong Ocean University, Zhanjiang 524088, China
    Department of Systems Engineering and Naval Architecture, National Taiwan Ocean University, Keelung 20224, Taiwan)

  • 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)

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.

Suggested Citation

  • Ji Huang & Hongguan Lyu & Chia-Ming Fan & Jiahn-Hong Chen & Chi-Nan Chu & Jiayang Gu, 2020. "Wave-Structure Interaction for a Stationary Surface-Piercing Body Based on a Novel Meshless Scheme with the Generalized Finite Difference Method," Mathematics, MDPI, vol. 8(7), pages 1-22, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1147-:d:384148
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    Cited by:

    1. Qiang Wang & Pyeoungkee Kim & Wenzhen Qu, 2022. "A Hybrid Localized Meshless Method for the Solution of Transient Groundwater Flow in Two Dimensions," Mathematics, MDPI, vol. 10(3), pages 1-14, February.
    2. Ji Huang & Chia-Ming Fan & Jiahn-Horng Chen & Jin Yan, 2022. "Meshless Generalized Finite Difference Method for the Propagation of Nonlinear Water Waves under Complex Wave Conditions," Mathematics, MDPI, vol. 10(6), pages 1-22, March.

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