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弱地形上内潮生成问题——1.数学物理框架及解析解 被引量:3

Study on the Internal Wave Generated Over a Weak Topography I. Mathematical Framework and Analytical Solution
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摘要 基于二维线性理论,得到了有限深海洋中弱地形上内潮生成问题的解析解。与前人的结果相比,研究中没有采用静力近似。结果表明,静力近似的采用与否对内潮能通量有明显影响。对于高斯地形,没有采用静力近似的情况下得到的能通量总是比采用静力近似得到的能通量小。特别是当Brunt-Vaisala频率与局地潮频率相近时,采用静力近似得到的结果明显高估了内潮能通量。当Brunt-Vaisala频率远大于局地潮频率时,静力近似的采用与否对内潮能通量的估算影响很小。 In this paper, an analytical solution for an internal wave generated over a weak topography in a finite depth ocean is obtained based on the two-dimensional linear theory, and the hydrostatic approximation is withdrawn in this study compared with the previous studies. It is shown from the study results that the adoption of hydrostatic approximation has obvious effect on the energy flux of the generated internal tide. For example, the energy flux of internal tide generated over a Gaussian seamount without the hydrostatic approximation is always smaller than that with the hydrostatic approximation. Especially when the Brunt- Vǎisǎlǎ frequency is close to the local tidal frequency, the results obtained by adopting the hydrostatic approximation significantly overestimate the energy flux of the generated internal tide, hut the adoption of hydrostatic approximation has just little effect on the estimation of energy flux of the generated internal tide when the Brunt-Vǎisǎlǎ frequency is much greater than the local tidal frequency.
出处 《海洋科学进展》 CAS CSCD 北大核心 2007年第2期123-130,共8页 Advances in Marine Science
基金 国家自然科学基金项目--内潮生成问题的理论和实验研究(40406008)
关键词 内潮 静力近似 弱地形 能通量 internal tide hydrostatic approximation weak topography energy flux
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参考文献11

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同被引文献23

  • 1SUNQun,SONGJinbao,GUANChanglong.Simulation of the ocean surface mixed layer under the wave breaking[J].Acta Oceanologica Sinica,2005,24(3):9-15. 被引量:10
  • 2蔡树群,甘子钧.内波频散关系的一种数值解法[J].热带海洋,1995,14(1):22-29. 被引量:21
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  • 7BALMFORTH N J,IERLEY G R,YOUNG W R.Tidal conversion by subcritical topography[J].J.Phys.Oceanogr.,2002,32(10):2900-2914.
  • 8LIEWELLYN SMITH S G,YOUNG W R.Conversion of the barotropic tide[J].J.Phys.Oceanogr.,2002,32(5):1554-1566.
  • 9KHATIWALA S.GeneratIon of internal tides in an ocean of finite depth:Analytical and numerical calculations[J].Deep-Sea Res.,2003,50:3-21.
  • 10郑沛楠,宋军,张芳苒,鲍献文.常用海洋数值模式简介[J].海洋预报,2008,25(4):108-120. 被引量:52

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