引入强分层近似对含密度跃层情况下的大幅内孤立波计算误差研究  

Error Calculation of Large-Amplitude Internal Solitary Waves Within the Pycnocline Introduced by the Strong Stratification Approximation

作　　者：许存国 王战 Hayatdavoodi Masoud Cunguo Xu;Zhan Wang;Hayatdavoodi Masoud(Qingdao Innovation and Development Center of Harbin Engineering University,Qingdao 266555,China;College of Shipbuilding Engineering,Harbin Engineering University,Harbin 150001,China;Frontiers Science Center for Wave Field of Extreme Ocean Environment,Harbin Engineering University,Harbin 150001,China;Civil Engineering Department,School of Science and Engineering,University of Dundee,Dundee DD14HN,UK)

机构地区：[1]Qingdao Innovation and Development Center of Harbin Engineering University,Qingdao 266555,China [2]College of Shipbuilding Engineering,Harbin Engineering University,Harbin 150001,China [3]Frontiers Science Center for Wave Field of Extreme Ocean Environment,Harbin Engineering University,Harbin 150001,China [4]Civil Engineering Department,School of Science and Engineering,University of Dundee,Dundee DD14HN,UK

出　　处：《哈尔滨工程大学学报（英文版）》2023年第1期146-152,共7页Journal of Marine Science and Application

基　　金：the Fundamental Research Funds for the Central Universities (No. 3072022FSC0101);the National Natural Science Foundation of China (Nos. 12202114, 52261135547);the China Postdoctoral Science Foundation (No. 2022M710932);the State Key Laboratory of Coastal and Offshore Engineering;Dalian University of Technology (No. LP2202);the Qingdao Postdoctoral Application Project;the Heilongjiang Touyan Innovation Team Program

摘　　要：At present,studies on large-amplitude internal solitary waves mostly adopt strong stratification models,such as the twoand three-layer Miyata–Choi–Camassa(MCC)internal wave models,which omit the pycnocline or treat it as another fluid layer with a constant density.Because the pycnocline exists in real oceans and cannot be omitted sometimes,the computational error of a large-amplitude internal solitary wave within the pycnocline introduced by the strong stratification approximation is unclear.In this study,the two-and three-layer MCC internal wave models are used to calculate the wave profile and wave speed of large-amplitude internal solitary waves.By comparing these results with the results provided by the Dubreil–Jacotin–Long(DJL)equation,which accurately describes large-amplitude internal solitary waves in a continuous density stratification,the computational errors of large-amplitude internal solitary waves at different pycnocline depths introduced by the strong stratification approximation are assessed.Although the pycnocline thicknesses are relatively large(accounting for 8%–10%of the total water depth),the error is much smaller under the three-layer approximation than under the two-layer approximation.

关 键 词：Internal solitary wave PYCNOCLINE Two-layer approximation Three-layer approximation MCC internal wave model DJL equation Wave profile Wave speed 

分 类 号：P731.2[天文地球—海洋科学]