| Numerical calculation of dispersion relation for linear internal waves |
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| 作者姓名： | 王刚 侯一筠 林敏 |
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| 作者单位： | Institute of Oceanology Chinese Academy of Sciences，Institute of Oceanology Chinese Academy of Sciences，Department of Mathematics Ocean University of China，Qingdao 266071 China Graduate School of the Chinese Academy of Sciences Beijing 100039 China，Qingdao 266071 China，Qingdao 266071 China |
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| 基金项目： | 中国科学院知识创新工程项目 |
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| 摘 要： | With the horizontal Coriolis terms included in motion equations and the influence of compressibility of seawater on Brunt-Visl frequency considered, a numerical method of calculating the dispersion relation for linear internal waves, which is an improvement of Cai and Gan (1995), and hence Fliegel and Hunkins (1975), had been set up. For different models (Pacific model, Atlantic model and Arctic model), simulations using the three different methods were compared and the following conclusions were reached:(1) the influence of horizontal Coriolis terms on dispersion relation cannot be neglected and is connected with the direction of the wave celerity, the latitude, and the modes of the wave;(2) the effect of compressibility of seawater in stratification is not an important factor for the dispersion relation of linear internal wave, at least for those three models. With the improved method, the wavefunction curves for the Pacific model had also been built.
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| 关 键 词： | 内波 色散关系 海水 波动频率 |
| 收稿时间： | 21 April 2006 |
| 修稿时间： | 2006-04-21 |
Numerical calculation of dispersion relation for linear internal waves |
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| Wang?Gang,Hou?Yijun,Lin?Min.Numerical calculation of dispersion relation for linear internal waves[J].Chinese Journal of Oceanology and Limnology,2007,25(4):347-353. |
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| Authors: | Wang Gang Hou Yijun Lin Min |
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| Institution: | 1Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China;2.Graduate School of the Chinese Academy of Sciences, Beijing 100039, China;3.Department of Mathematics, Ocean University of China, Qingdao 266071, China |
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| Abstract: | With the horizontal Coriolis terms included in motion equations and the influence of compressibility of seawater on Brunt-Visl frequency considered, a numerical method of calculating the dispersion relation for linear internal waves, which is an improvement of Cai and Gan (1995), and hence Fliegel and Hunkins (1975), had been set up. For different models (Pacific model, Atlantic model and Arctic model), simulations using the three different methods were compared and the following conclusions were reached:(1) the influence of horizontal Coriolis terms on dispersion relation cannot be neglected and is connected with the direction of the wave celerity, the latitude, and the modes of the wave;(2) the effect of compressibility of seawater in stratification is not an important factor for the dispersion relation of linear internal wave, at least for those three models. With the improved method, the wavefunction curves for the Pacific model had also been built. |
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| Keywords: | dispersion relation Boussinesq approximation Brunt-V(a)is(a)l(a) frequency |
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