首页|On the two-layer high-level Green-Naghdi model in a general form

On the two-layer high-level Green-Naghdi model in a general form

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The traditional high-level Green-Naghdi(HLGN)model,which uses the polynomial as the shape function to approximate the variation of the horizontal-and vertical-velocity components along the vertical direction for each-fluid layer,can accurately describe the large-amplitude internal waves in a two-layer system for the shallow configuration(h2/λ<<1,h,/λ<<1).However,for the cases of the deep confiiguration(h2/λ<<1,h1/λ=O(1)),higher-order polynomial is needed to approximate the variation of the velocity components along the vertical direction for the lower-fluid layer.This,however,introduces additional unknowns,leading to a significant increase in computational time.This paper,for the first time,derives a general form of the HLGN model for a two-layer fluid system,where the general form of the shape function is used during the derivation.After obtaining the general form of the two-layer HLGN equations,corresponding solutions can be obtained by determining the reasonable shape function.Large-amplitude internal solitary waves in a deep configuration are studied by use of two different HLGN models.Comparison of the two HLGN models shows that the polynomial as the shape function for the upper-fluid layer and the production of exponential and polynomial as the shape function for the lower-fluid layer is a good choice.By comparing with Euler's solutions and the laboratory measurements,the accuracy of the two-layer HLGN model is verified.

High-level Green-Naghdi(HLGN)modelgeneral forminternal wavesdeep configuration

Bin-bin Zhao、Tian-yu Zhang、Zhan Wang、Wen-yang Duan、Alexander Chesnokov、Natalia Shmakova

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College of Shipbuilding Engineering,Harbin Engineering University,Harbin 150001,China

Qingdao Innovation and Development Center of Harbin Engineering University,Qingdao 266000,China

Lavrentyev Institute of Hydrodynamics,Novosibirsk,Russia

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaFundamental Research Funds for the Central UniversitiesChina Postdoctoral Science FoundationPh.D.Student Research and Innovation FundHigh-End Foreign Expert Recruitment ProgramHeilongjiang Touyan Innovation Team Program

12202114522611355473072022FSC01012022M710932BCJJ2023103

2024

10.1007/s42241-024-0012-z

水动力学研究与进展B辑
中国船舶科学研究中心

水动力学研究与进展B辑

CSTPCDEI
影响因子：0.596
ISSN：1001-6058
年,卷(期)：2024.36(1)
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