中文摘要：

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-Vaisala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.

英文摘要：

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.