Korean Journal of Fisheries and Aquatic Sciences (한국수산과학회지)
- Volume 25 Issue 6
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- Pages.443-456
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- 1992
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- 0374-8111(pISSN)
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- 2287-8815(eISSN)
Coastally Trapped Waves over a Double Shelf Topography(II) : Free Waves with Linear Topographies
양향성 대륙붕의 대륙붕파 (II): 선형함수적 해저지형에서의 자유파
- PANG Ig-Chan (Department of Oceanography, National University of Cheju)
- 방익찬 (제주대학교 해양학과)
- Published : 1992.11.01
Abstract
For a linear double shelf bottom topography as in the Yellow Sea, the dispersion relation of coastally trapped waves is derived for the general case Including high-frequency and short waves and for the case of low-frequency and long waves. With linear bottom topography, the governing equation is Bessel's equation for the latter case but Hummer's equation for the former case. Hypergeometric Functions, which are the solutions of Hummer's equation, are derived and converted to various special functions for the limiting cases. On a double shelf topography, the divergence effects of horizontal flow are important for the wave dynamics, irrespective of cross-shelf dimensions, while on a single shelf they are usually neglected when the cross-shelf dimension is much smaller than the Rossby deformation radius. The divergence effect allows the existence of Kelvin wave and reduces the phase speeds of continental shelf waves. Finally, the frictionless eigenfunctions are proved to be orthogonal.
황해에서와 같은 선형의 양향성 대륙붕 해저 지형에서 저주파의 분산관계가 단주기
Keywords