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Ocean Sci., 14, 117-126, 2018
https://doi.org/10.5194/os-14-117-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
Research article
13 Feb 2018
An analytical study of M2 tidal waves in the Taiwan Strait using an extended Taylor 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) feature large semidiurnal lunar (M2) amplitudes. An extended Taylor 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, and the Coriolis force and bottom friction 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 basically represents 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. Inclusion of Poincaré modes further improves the model result in that the cross-strait asymmetry can be better reproduced. 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 is 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 the above analytical solution, in which the southern open boundary condition is specified with observations. Inclusion of the forcing at the Luzon Strait strengthens the northward Kelvin wave in the TS, and the forcing is thus of some (but lesser) importance to the M2 tide in the TS.
Citation: Wu, D., Fang, G., Cui, X., and Teng, F.: An analytical study of M2 tidal waves in the Taiwan Strait using an extended Taylor method, Ocean Sci., 14, 117-126, https://doi.org/10.5194/os-14-117-2018, 2018.
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Short summary
Taylor's problem is a classical tidal dynamic problem and in its previous applications all of the studied basins had 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 of...
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