文献类型：期刊文献

英文题名：On the propagation of nonlinear water waves in a three-dimensional numerical wave flume using the generalized finite difference method

作者：Huang, Ji[1,2];Chu, Chi-Nan[3,4];Fan, Chia-Ming[3,4];Chen, Jiahn-Horng[2];Lyu, Hongguan[5]

机构：[1]Guangdong Ocean Univ, Coll Ocean Engn, Zhanjiang 524088, Peoples R China;[2]Natl Taiwan Ocean Univ, Dept Syst Engn & Naval Architecture, Keelung 20224, Taiwan;[3]Natl Taiwan Ocean Univ, Dept Harbor & River Engn, Keelung 20224, Taiwan;[4]Natl Taiwan Ocean Univ, Computat & Simulat Ctr, Keelung 20224, Taiwan;[5]Sun Yat Sen Univ, Sch Marine Engn & Technol, Zhuhai 519082, Peoples R China

年份：2020

卷号：119

起止页码：225

外文期刊名：ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

收录：SCI-EXPANDED(收录号：WOS:000567817600007)、、EI(收录号：20203209014247)、Scopus(收录号：2-s2.0-85088920917)、WOS

基金：This research was funded by the Special Projects of Key Fields (Artificial Intelligence) of Universities in Guangdong Province (Grant no. 2019KZDZX1035); Natural Science Foundation of Guangdong Province (Grant no. 2017A030313275)

语种：英文

外文关键词：Nonlinear water waves; Numerical wave flume; Meshless method; Generalized finite difference method; Runge-Kutta method; Semi-Lagrangian approach

外文摘要：Nonlinear water waves are common physical phenomena in the field of coastal and ocean engineering, which plays a critical role in the investigation of hydrodynamics regarding offshore and deep-water structures. In the present study, a three-dimensional (3D) numerical wave flume (NWF) is constructed to simulate the propagation of nonlinear water waves. On the basis of potential flow theory, the second-order Runge-Kutta method (RKM2) combining with a semi-Lagrangian approach is carried out to discretize the temporal variable of the 3D Laplace's equation. For the spatial variables, the generalized finite difference method (GFDM) is adopted to solve the governing equations for the deformable computational domain at each time step. The upstream condition is considered as a wave-making boundary with imposing horizontal velocity while the downstream condition as a wave-absorbing boundary with a pre-defined sponge layer to deal with the phenomenon of wave reflection. Three numerical examples are investigated and discussed in detail to validate the accuracy and stability of the developed 3D GFDM-based NWF. The results show that the newly-proposed numerical method has good performance in the prediction of the dynamic evolution of nonlinear water waves, and suggests that the novel 3D "RKM2-GFDM " meshless scheme can be employed to further investigate more complicated hydrodynamic problems in practical applications.