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基于势流理论的内孤立波与立管作用数值研究

胡英杰 邹丽 孙哲 金国庆 马鑫宇

胡英杰, 邹丽, 孙哲, 金国庆, 马鑫宇. 基于势流理论的内孤立波与立管作用数值研究. 力学学报, 2022, 54(4): 892-900 doi: 10.6052/0459-1879-21-677
引用本文: 胡英杰, 邹丽, 孙哲, 金国庆, 马鑫宇. 基于势流理论的内孤立波与立管作用数值研究. 力学学报, 2022, 54(4): 892-900 doi: 10.6052/0459-1879-21-677
Hu Yingjie, Zou Li, Sun Zhe, Jin Guoqing, Ma Xinyu. The numerical investigation of the response of risers induced by internal solitary waves based on potential flow theory. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(4): 892-900 doi: 10.6052/0459-1879-21-677
Citation: Hu Yingjie, Zou Li, Sun Zhe, Jin Guoqing, Ma Xinyu. The numerical investigation of the response of risers induced by internal solitary waves based on potential flow theory. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(4): 892-900 doi: 10.6052/0459-1879-21-677

基于势流理论的内孤立波与立管作用数值研究

doi: 10.6052/0459-1879-21-677
基金项目: 国家重点研发计划(2019YFC0312400, 2019YFC0312402)和国家自然科学基金(52071056)资助项目
详细信息
    作者简介:

    邹丽, 教授, 主要研究方向: 海洋工程装备、深海矿产资源开发. E-mail: lizou@dlut.edu.cn

  • 中图分类号: O352

THE NUMERICAL INVESTIGATION OF THE RESPONSE OF RISERS INDUCED BY INTERNAL SOLITARY WAVES BASED ON POTENTIAL FLOW THEORY

  • 摘要: 内孤立波是一种发生在水面以下的在世界各个海域广泛存在的大幅波浪, 其剧烈的波面起伏所携带的巨大能量对以海洋立管为代表的海洋结构物产生严重威胁, 分析其传播演化过程的流场特征及立管在内孤立波作用下的动力响应规律对于海洋立管的设计具有重要意义. 本文基于分层流体的非线性势流理论, 采用高效率的多域边界单元法, 建立了内孤立波流场分析计算的数值模型, 可以实时获得内孤立波的流场特征. 根据获得的流场信息, 采用莫里森方程计算内孤立波对海洋立管作用的载荷分布. 将内孤立波流场非线性势流计算模型与动力学有限元模型结合来求解内孤立波作用下海洋立管的动力响应特征, 讨论了内孤立波参数、顶张力大小以及内部流体密度对立管动力响应的影响. 发现随着内孤立波波幅的增大, 海洋立管的流向位移和应力明显增大. 由于上层流体速度明显大于下层, 且在所研究问题中拖曳力远大于惯性力, 因此管道顺流向的最大位移发生在上层区域. 顶张力通过改变几何刚度阵的值进而对立管的响应产生明显影响. 对于弱约束立管, 内部流体的密度对管道的流向位移影响较小.

     

  • 图  1  内孤立波与立管作用示意图

    Figure  1.  Schematic diagram of the interaction between internal solitary wave and the riser

    图  2  水平速度垂向分布与文献[33]结果对比

    Figure  2.  Comparison between the calculation result about the vertical distribution of horizontal velocity with the result of Ref. [33]

    图  3  内孤立波流场速度分布

    Figure  3.  Velocity distribution of internal solitary wave flow field

    图  4  内孤立波水平速度沿水平方向的分布

    Figure  4.  Horizontal velocity distribution of internal solitary wave

    图  5  内孤立波水平加速度分布

    Figure  5.  Horizontal acceleration distribution of internal solitary wave

    图  6  管道流向最大位移与文献[34]计算结果对比

    Figure  6.  Comparison of the maximum displacement of the pipe in flow direction with the calculation results in the Ref. [34]

    图  7  不同内孤立波入射波幅时顶张力立管的流向变形特征

    Figure  7.  Characteristics deformation of top tension riser in flow direction with different incident amplitudes of internal solitary waves

    图  8  不同顶张力时管道的变形特征

    Figure  8.  Deformation characteristics of the riser under different top tensions

    图  9  管道最大流向位移随顶张力大小的变化关系

    Figure  9.  The relationship between the maximum displacement of the riser in flow direction and the value of the top tension

    图  10  不同波幅内孤立波作用下管道的应力变化

    Figure  10.  Stress changes of the riser under the action of solitary waves with different amplitudes

    图  11  不同波幅内孤立波作用下弱约束立管的变形特征

    Figure  11.  Characteristics deformation of weakly constrained riser in flow direction with different incident amplitudes of internal solitary waves

    图  12  内部流体密度对弱约束管道位移的影响

    Figure  12.  Influence of inner fluid densities on displacement of weakly constrained riser

    表  1  顶张力立管参数

    Table  1.   Parameters of the top tension riser

    ParametersValue
    total length L/m300
    external diameter D/m0.25
    inner diameter d/m0.2
    material density ρr/(kg·m−3)7850
    inner fluid density ρi/(kg·m−3)800
    elasticity modulus E/GPa210
    下载: 导出CSV

    表  2  流体分层参数

    Table  2.   Parameters of stratified fluids

    ParametersValue
    upper fluid depth h1/m50
    lower fluid depth h2/m250
    upper fluid density ρ1/(kg·m−3)1025
    lower fluid density ρ2/(kg·m−3)1028
    下载: 导出CSV

    表  3  弱约束立管参数

    Table  3.   Parameters of the weakly constrained riser

    ParametersValue
    total length L/m300
    external diameter D/m0.25
    inner diameter d/m0.2
    material density ρr/(kg·m−3)7850
    additional weight T/kN100
    elasticity modulus E/GPa210
    下载: 导出CSV
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出版历程
  • 收稿日期:  2021-12-20
  • 录用日期:  2022-02-17
  • 网络出版日期:  2022-02-18
  • 刊出日期:  2022-04-18

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