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非线性海洋内波的理论、模型与计算

王展 朱玉可

王展, 朱玉可. 非线性海洋内波的理论、模型与计算[J]. 力学学报, 2019, 51(6): 1589-1604. doi: 10.6052/0459-1879-19-326
引用本文: 王展, 朱玉可. 非线性海洋内波的理论、模型与计算[J]. 力学学报, 2019, 51(6): 1589-1604. doi: 10.6052/0459-1879-19-326
Wang Zhan, Zhu Yuke. THEORY, MODELLING AND COMPUTATION OF NONLINEAR OCEAN INTERNAL WAVES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(6): 1589-1604. doi: 10.6052/0459-1879-19-326
Citation: Wang Zhan, Zhu Yuke. THEORY, MODELLING AND COMPUTATION OF NONLINEAR OCEAN INTERNAL WAVES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(6): 1589-1604. doi: 10.6052/0459-1879-19-326

非线性海洋内波的理论、模型与计算

doi: 10.6052/0459-1879-19-326
基金项目: 1) 国家自然科学基金资助项目(11772341);国家自然科学基金资助项目(11911530171)
详细信息
    通讯作者:

    王展

  • 中图分类号: O352

THEORY, MODELLING AND COMPUTATION OF NONLINEAR OCEAN INTERNAL WAVES

  • 摘要: 海水因盐度与温度的垂向差异造成密度层结现象, 进而由于海洋系统的内部扰动(如海潮流过局部隆起的海底地形)与外部扰动(如死水现象)造成等密面的波动, 这一现象称为“内波”. 内波在全球范围内大量存在, 尤其是在海峡入海口等密度层结现象较为明显和稳定的区域会有内波频繁活动. 海洋通常呈现“三明治”状的结构: 密度相对稳定的混合层与深水层, 以及位于中间密度连续过渡的密跃层. 密跃层的整体脉动对于海洋工程和海洋生态环境有重大的影响; 而密跃层内部的波动对于潜艇的非声探测(反过来说, 对于潜艇的隐身作战)具有潜在的应用价值. 而造成这些重大影响的根源在于内波在水平和垂直方向都具备传播能力, 这是有别于海洋表面波浪的关键之处.本文针对两类海洋密度模型-连续分层模型与间断分层模型, 从理论研究、数值模拟、实验室机理实验等方面论述了研究海洋内波的各类非线性模型(包括弱非线性的Korteweg-de Vries方程、Benjamin-Ono方程, Kadomtsev-Petviashvili方程等著名模型以及强非线性Miyata-Choi-Camassa方程、非线性势流理论、带密度变化的不可压缩Navier-Stokes方程等), 讨论各自的适用范围, 并借此探讨内波在海洋质量动量能量输运中所起的至关重要的作用.

     

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  • 收稿日期:  2019-10-25
  • 刊出日期:  2019-11-18

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