Internal wave dispersion in deep oceans calculated by means of two-variable expansion techniques

JaeMinHyun

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Internal wave dispersion in deep oceans calculated by means of two-variable expansion techniques

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An analytical study is made of linearized internal wave dispersion relation in a density-stratified deep ocean with aN(z)profile which contains turning points. Principal emphasis is placed on obtaining theΩ-krelationship for all frequencies. Taking advantage of the largeness of the nondimensional wavenumber (kS≫1), the mathematical tool to attack the governing Sturm-Liouville equation is a combination of the two-variable expansion (valid far away from the turning point) and the limit-process expansion (valid in the neighborhood of the turning point). The matching conditions for these two expansion schemes provide the desiredΩ-krelationship. A numerical example of this method demonstrates satisfactory agreement with the results obtained by the strict analytical solution and the multi-layered matrix numerical mo

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《日本海洋学会誌》 |2005年第1期|11-20|共页
作者
JaeMinHyun;
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作者单位

Korea Institute of Science and Technology;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种英语
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Internal wave dispersion in deep oceans calculated by means of two-variable expansion techniques

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