密度均匀连续分层流体的内波格林函数

上海交通大学学报（自然版） ›› 2016, Vol. 50 ›› Issue (02): 265-271.

密度均匀连续分层流体的内波格林函数

朱仁传1，高阳1，缪国平1，姚志崇2

(1. 上海交通大学海洋工程国家重点实验室，高新船舶与深海开发装备协同创新中心，上海 200240; 2. 中国船舶重工集团公司第七〇二研究所，江苏无锡 214082)

收稿日期:2014-12-25 出版日期:2016-02-29 发布日期:2016-02-29
基金资助:
国家高技术研究发展规划（973）项目(2014CB046203)，国家自然科学基金项目(51179176，51579147)资助

Green’s Function of Internal Waves in Uniformly Stratified Fluid

ZHU Renchuan1,GAO Yang1,MIAO Guoping1,YAO Zhichong2

(1. State Key Laboratory of Ocean Engineering, Collaborative Innovation Center for Advanced Ship and DeepSea Exploration (CISSE), Shanghai Jiaotong University, Shanghai 200240, China； 2. China Ship Scientific Research Center, China Shipbuilding Industry Corporation, Wuxi 214082, Jiangsu, China)

Received:2014-12-25 Online:2016-02-29 Published:2016-02-29

摘要/Abstract

摘要： 摘要：考虑自由表面的影响，从理论上建立了在密度均匀的连续分层流体中脉动点源生成内波的数理模型，应用Fourier变换和围道积分，推导出点源脉动频率的平方小于BruntVisl频率的平方条件下含自由面的连续分层流体中脉动点源的内波格林函数，并给出了详细的解析表达式，讨论了解的性质、内波的生成机理和自由面的干扰机理及波动特征.结果表明，所提出的连续分层流体中脉动点源的内波生成格林函数具有较好的准确性.

关键词: 连续分层流体, 内波格林函数, Fourier变换, 围道积分, 脉动点源

Abstract: Abstract： A mathematical model and analysis methods for the internal waves generated by pulsating point sources were theoretically established. When ω2

Key words: Key words： uniformly densitystratified fluids, Green’s function of internal waves, Fourier transformation, contour integration, pulsating point source

中图分类号:

U 661.3

朱仁传1，高阳1，缪国平1，姚志崇2. 密度均匀连续分层流体的内波格林函数[J]. 上海交通大学学报（自然版）, 2016, 50(02): 265-271.

ZHU Renchuan1,GAO Yang1,MIAO Guoping1,YAO Zhichong2. Green’s Function of Internal Waves in Uniformly Stratified Fluid[J]. Journal of Shanghai Jiaotong University, 2016, 50(02): 265-271.

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