Estimating peak response frequencies in a tidal band in the seas adjacent to China with a numerical model

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Estimating peak response frequencies in a tidal band in the seas adjacent to China with a numerical model CUI Xinmei1,2,3, FANG Guohong1,2,3*, TENG Fei3,4, WU Di3 1

State Key Laboratory of Tropical Oceanography, South China Sea Institute of Oceanology, Chinese Academy of Sciences, Guangzhou 510301, China 2 University of Chinese Academy of Sciences, Beijing 100039, China 3 First Institute of Oceanography, State Oceanic Administration, Qingdao 266061, China 4 Ocean University of China, Qingdao 266100, China Received 6 March 2014; accepted 20 May 2014 ©The Chinese Society of Oceanography and Springer-Verlag Berlin Heidelberg 2015

Abstract A numerical method is designed to examine the response properties of real sea areas to open ocean forcing. The application of this method to modeling the China's adjacent seas shows that the Bohai Sea has a highest peak response frequency (PRF) of 1.52 d−1; the northern Yellow Sea has a PRF of 1.69 d−1; the Gyeonggi Bay has a high amplitude gain plateau in the frequency band roughly from 1.7 to 2.7 d−1; the Yellow Sea (including the Gyeonggi Bay), the East China Sea shelf and the Taiwan Strait have a common high amplitude gain band with frequencies around 1.76 to 1.78 d−1 and are shown to be a system that responds to the open ocean forcing in favor of amplifying the waves with frequencies in this band; the Beibu Gulf, the Gulf of Thailand and the South China Sea deep basin have PRFs of 0.91, 1.01 and 0.98 d−1 respectively. In addition, the East China Sea has a Poincare mode PRF of 3.91 d−1. The PRFs of the Bohai Sea, the northern Yellow Sea, the Beibu Gulf and the South China Sea can be explained by a classical quarter (half for the Bohai Sea) wavelength resonance theory. The results show that further investigations are needed for the response dynamics of the Yellow Sea-East China Sea-Taiwan Strait system, the East China Sea Poincare mode, the Taiwan Strait, and the Gulf of Thailand. Key words: China's adjacent seas, response to tidal forcing, peak response frequency, resonance, numerical model Citation: Cui Xinmei, Fang Guohong, Teng Fei, Wu Di. 2015. Estimating peak response frequencies in a tidal band in the seas adjacent to China with a numerical model. Acta Oceanologica Sinica, 34(1): 29–37, doi: 10.1007/s13131-015-0593-z

1 Introduction A tidal resonance is of particular interest for oceanographers to reveal the response features of sea areas to the tidal forcing (Proudman, 1953; Defant, 1961). In particular, two thirds of the total tidal energy of the world ocean is dissipated in the shallow sea regions, and the regions with the greatest dissipation are mostly resonant regions. The sea area adjacent to China is one of such regions (Webb, 2013b). Garrett (1972, 1975) estimated the resonant period of the Gulf of Fundy to explain the cause of the greatest tidal range in the world ocean of the gulf. Heath (1981) estimated the resonant periods of the Atlantic and Pacific Oceans. Godin (1993) discussed the general resonant properties of the marginal seas. Recently, Sutherland and Ga