密度均匀连续分层流体的内波格林函数  

Green's Function of Internal Waves in Uniformly Stratified Fluid

作　　者：朱仁传[1] 高阳[1] 缪国平 姚志崇[2] 

机构地区：[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

出　　处：《上海交通大学学报》2016年第2期265-271,共7页Journal of Shanghai Jiaotong University

基　　金：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

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.A mathematical model and analysis methods for the internal waves generated by pulsating point sources were theoretically established.Whenω2N2,the analytic expression of the Green＇s function of internal waves in uniformly density-stratified fluids was derived based on the Fourier transformation and contour integration technique.A detailed knowledge of the internal waves generated by pulsating point sources could essentially improve the understandings of the internal-wave generation,fluctuation and propagation characteristics,which may also facilitate subsequent studies.

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 

分 类 号：U661.3[交通运输工程—船舶及航道工程]