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    Nonlinear Wave–Current Interaction in Water of Finite Depth

    Source: Journal of Waterway, Port, Coastal, and Ocean Engineering:;2016:;Volume ( 142 ):;issue: 006
    Author:
    Zhen Liu
    ,
    Zhiliang Lin
    ,
    Longbin Tao
    ,
    Jian Lan
    DOI: 10.1061/(ASCE)WW.1943-5460.0000345
    Publisher: American Society of Civil Engineers
    Abstract: The interaction of nonlinear progressive waves and a uniform current in water of finite depth is investigated analytically by means of the homotopy analysis method (HAM). With HAM, the velocity potential of the flow and the surface elevation are expressed by the Fourier series, and the nonlinear free surface boundary conditions are satisfied by continuous mapping. Unlike a perturbation method, the present approach does not depend on any small parameters; thus, the solutions are suitable for steep waves and strong currents. To verify the HAM solutions, experiments are conducted in the wave–current flume of the Education Ministry Key Laboratory of Hydrodynamics at Shanghai Jiao Tong University (SJTU) in Shanghai, China. It is found that the HAM solutions are in good agreement with experimental measurements. Based on the series solutions of the validated analytical model, the influence of water depth, wave steepness, and current velocity on the physical properties of the coexisting wave–current field are studied in detail. The variation mechanisms of wave characteristics due to wave–current interaction are further discussed in a quantitative manner. The significant advantage of HAM in dealing with strong nonlinear wave–current interactions in the present study is clearly demonstrated in that the solution technique is independent of small parameters. A comparative study on wave characteristics further reveals the great potential of HAM to solve more complex wave–current interaction problems, leading to engineering applications in the offshore industry and the marine renewable energy sector.
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      Nonlinear Wave–Current Interaction in Water of Finite Depth

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4240652
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    • Journal of Waterway, Port, Coastal, and Ocean Engineering

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    contributor authorZhen Liu
    contributor authorZhiliang Lin
    contributor authorLongbin Tao
    contributor authorJian Lan
    date accessioned2017-12-16T09:15:47Z
    date available2017-12-16T09:15:47Z
    date issued2016
    identifier other%28ASCE%29WW.1943-5460.0000345.pdf
    identifier urihttp://138.201.223.254:8080/yetl1/handle/yetl/4240652
    description abstractThe interaction of nonlinear progressive waves and a uniform current in water of finite depth is investigated analytically by means of the homotopy analysis method (HAM). With HAM, the velocity potential of the flow and the surface elevation are expressed by the Fourier series, and the nonlinear free surface boundary conditions are satisfied by continuous mapping. Unlike a perturbation method, the present approach does not depend on any small parameters; thus, the solutions are suitable for steep waves and strong currents. To verify the HAM solutions, experiments are conducted in the wave–current flume of the Education Ministry Key Laboratory of Hydrodynamics at Shanghai Jiao Tong University (SJTU) in Shanghai, China. It is found that the HAM solutions are in good agreement with experimental measurements. Based on the series solutions of the validated analytical model, the influence of water depth, wave steepness, and current velocity on the physical properties of the coexisting wave–current field are studied in detail. The variation mechanisms of wave characteristics due to wave–current interaction are further discussed in a quantitative manner. The significant advantage of HAM in dealing with strong nonlinear wave–current interactions in the present study is clearly demonstrated in that the solution technique is independent of small parameters. A comparative study on wave characteristics further reveals the great potential of HAM to solve more complex wave–current interaction problems, leading to engineering applications in the offshore industry and the marine renewable energy sector.
    publisherAmerican Society of Civil Engineers
    titleNonlinear Wave–Current Interaction in Water of Finite Depth
    typeJournal Paper
    journal volume142
    journal issue6
    journal titleJournal of Waterway, Port, Coastal, and Ocean Engineering
    identifier doi10.1061/(ASCE)WW.1943-5460.0000345
    treeJournal of Waterway, Port, Coastal, and Ocean Engineering:;2016:;Volume ( 142 ):;issue: 006
    contenttypeFulltext
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