Effect of the Coefficient on the Performance of A Two-Layer Boussinesq- Type Model  

作　　者：SUN Jia-wen LIU Zhong-bo WANG Xing-gang FANG Ke-zhao DU Xin-yuan WANG Ping 

机构地区：[1]State Environmental Protection Key Laboratory of Marine Ecosystem Restoration,National Marine Environmental Monitoring Center,Dalian 116023,China [2]Transportation Engineering College,Dalian Maritime University,Dalian 116026,China [3]Nanjing Hydraulic Research Institute,Nanjing 210029,China [4]State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology,Dalian 116024,China [5]Liaoning natural resources Affairs Service Center,Shenyang 110032,China

出　　处：《China Ocean Engineering》2021年第1期36-47,共12页中国海洋工程（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.51779022,51809053,and 51579034);the Innovation Team Project of Estuary and Coast Protection and Management(Grant No.Y220013);the Open Project Fund of State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology(Grant No.LP19015).

摘　　要：The coefficients embodied in a Boussinesq-type model are very important since they are determined to optimize the linear and nonlinear properties.In most conventional Boussinesq-type models,these coefficients are assigned the specific values.As for the multi-layer Boussinesq-type models with the inclusion of the vertical velocity,however,the effect of the different values of these coefficients on linear and nonlinear performances has never been investigated yet.The present study focuses on a two-layer Boussinesq-type model with the highest spatial derivatives being 2 and theoretically and numerically examines the effect of the coefficient on model performance.Theoretical analysis show that different values for(0.13≤α≤0.25)do not have great effects on the high accuracy of the linear shoaling,linear phase celerity and even third-order nonlinearity for water depth range of 0<kh≤10(k is wave number and h is water depth).The corresponding errors using different values are restricted within 0.1%,0.1%and 1%for the linear shoaling amplitude,dispersion and nonlinear harmonics,respectively.Numerical tests including regular wave shoaling over mildly varying slope from deep to shallow water,regular wave propagation over submerged bar,bichromatic wave group and focusing wave propagation over deep water are conducted.The comparison between numerical results using different values of,experimental data and analytical solutions confirm the theoretical analysis.The flexibility and consistency of the two-layer Boussinesq-type model is therefore demonstrated theoretically and numerically.

关 键 词：two-layer Boussinesq-type model dispersion nonlinear properties shoaling amplitude 

分 类 号：P731.22[天文地球—海洋科学]