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Ocean Science An interactive open-access journal of the European Geosciences Union
https://doi.org/10.5194/os-2017-61
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 4.0 License.
Research article
04 Aug 2017
Review status
This discussion paper is a preprint. A revision of this manuscript was accepted for the journal Ocean Science (OS) and is expected to appear here in due course.
An analytical study on M2 tidal wave in the Taiwan Strait with the extended Taylor's method
Di Wu1, Guohong Fang1,2, Xinmei Cui1,2, and Fei Teng1,2 1The First Institute of Oceanography, State Oceanic Administration, Qingdao, 266061, China
2Laboratory for Regional Oceanography and Numerical Modeling, Qingdao National Laboratory for Marine Science and Technology, Qingdao, 266237, China
Abstract. The tides in the Taiwan Strait (TS) are featured by large M2 amplitudes. The extended Taylor's method is employed in this study to provide an analytical model for the M2 tide in the TS. The strait is idealized as a rectangular basin with a uniform depth, but the Coriolis and friction forces are retained in the governing equations. The observed tides at the northern and southern openings are used as open boundary conditions. The obtained analytical solution, which consists of a stronger southward propagating Kelvin wave, a weaker northward propagating Kelvin wave, and two families of Poincaré modes trapped at the northern and southern openings, agrees well with the observations in the strait. The superposition of two Kelvin waves can basically represent the observed tidal pattern, including an anti-nodal band in the central strait, and the cross-strait asymmetry (greater amplitudes in the west and smaller in the east) of the anti-nodal band. The superposition of Poincaré modes can further improve the model result in that the cross-strait asymmetry can be better reproduced. In order to explore the formation mechanism of the northward propagating wave in the TS three experiments are carried out, including the deep basin south of the strait. The results show that the southward incident wave can be reflected to form a northward wave by the abruptly deepened topography south of the strait, but the reflected wave is slightly weaker than the northward wave obtained from above analytical solution, in which the southern open boundary condition is specified with observations. The forcing at the Luzon Strait can strengthen the northward Kelvin wave in the TS, and thus is of secondary importance to the M2 tide in the TS.

Citation: Wu, D., Fang, G., Cui, X., and Teng, F.: An analytical study on M2 tidal wave in the Taiwan Strait with the extended Taylor's method, Ocean Sci. Discuss., https://doi.org/10.5194/os-2017-61, in review, 2017.
Di Wu et al.
Interactive discussionStatus: closed
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
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RC1: 'review of study on M2-tidal wave in Taiwan Strait with extended Taylor method', Anonymous Referee #1, 28 Aug 2017 Printer-friendly Version 
AC2: 'Response to Referee #1', Guohong Fang, 30 Oct 2017 Printer-friendly Version Supplement 
 
RC2: 'Review', Anonymous Referee #2, 06 Sep 2017 Printer-friendly Version 
AC1: 'Response to Referee #2', Guohong Fang, 30 Oct 2017 Printer-friendly Version Supplement 
Di Wu et al.
Di Wu et al.

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Short summary
Taylor's problem is a classical tidal dynamic problem and in its previous applications all the studied basins have a closed end. In this study, the Taylor's method is extended so that it can also provide an analytical model for the M2 tide in the Taiwan Strait (TS), which shows that the reflection of the southward wave at the abruptly deepened topography south of the TS is a major contribution to the formation of the northward propagating wave in the strait.
Taylor's problem is a classical tidal dynamic problem and in its previous applications all the...
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