Simulation of Horizontal-Two-Dimension Focused Waves Using A Two-Layer Boussinesq-Type Model  

作　　者：ZOU Wen-feng WANG Ping LIU Zhong-bo FANG Ke-zhao SUN Jia-wen ZHANG Ning-chuan 

机构地区：[1]Key Laboratory of coastal and offshore engineering,Dalian University of Technology,Dalian 116024,China [2]State Environmental Protection Key Laboratory of Marine Ecosystem Restoration,National Marine Environmental Monitoring Center,Dalian 116023,China [3]Dalian Maritime University,College of Transportation Engineering,Dalian 116024,China

出　　处：《China Ocean Engineering》2023年第5期725-737,共13页中国海洋工程（英文版）

基　　金：financially supported by the National Natural Science Foundation of China(Grant Nos.52171247,51779022,52071057,51709054);the National Key Research and Development Program of China(Grant No.2022YFC3106101)。

摘　　要：Accurate simulation of the horizontal-two-dimension(H2D)focused wave group in deep water requires high accuracy of a numerical model.The two-layer Boussinesq-type model(Liu and Fang,2016;Liu et al.,2018)with the highest spatial derivative of 2 has high accuracy in both linear and nonlinear properties.Based on the further development of the velocity equations(Liu et al.,2023),the H2D numerical model for water waves is established with the prediction-correction-iteration model in the finite difference method,and a composite fourth-order Adams-Bashforth-Moulton scheme is used for time integration.The wave generation method proposed by Hsiao et al.(2005)is applied and calibrated in this H2D model.The numerical calculations lead to the following three main conclusions:First,compared with the analytical solution of Stokes linear waves,the calculated velocity profiles show higher accuracy by using the improved velocity formulas.Second,the simulations of the focused multidirectional wave group are carried out,and good agreements are found,demonstrating that the present H2D numerical model shows high accuracy in simulating focused multidirectional wave groups,and the effectiveness of the improved velocity formulas is also validated.Furthermore,the velocity profiles throughout the computational domain at the time of maximum wave crest are given.Finally,the FFT method is used to obtain the amplitude with different frequencies for several locations,and the changes of the wavelet energy spectrum at different locations are presented for several cases.

关 键 词：focused wave horizontal-two-dimension model finite difference method nonlinear property 

分 类 号：U661[交通运输工程—船舶及航道工程] P75[交通运输工程—船舶与海洋工程]