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Tide simulation using the mild-slope equation with Coriolis force and bottom friction
作者姓名:LI Ruijie  JIANG Senhui  JIANG Bing
作者单位:Key Laboratory of Coastal Disaster and Defence of Ministry of Education, Hohai University Nanjing 210098, China;Laboratory of Marine and Enviroment, Hohai University, Nanjing 210098, China,Laboratory of Marine and Enviroment, Hohai University, Nanjing 210098, China,National Marine Data and Information Service, Tianjin 300171, China
基金项目:The Ministry of Education Fundation for the Doctoral Program of Higher Education under contract No. 200802940014; the Natural Science Foundation of Hohai University under contract Nos 2008430511; Ministry of Transport Open Fundation of Laboratry of port, waterway, sediment engineering.
摘    要:Since the mild-slope equation was derived by Berkhoff (1972),the researchers considered various mechanism to simplify and improve the equation,which has been widely used for coastal wave field calculation.Recently,some scholars applied the mild-slope equation in simulating the tidal motion,which proves that the equation is capable to calculate the tide in actual terrain.But in their studies,they made a lot of simplifications,and did not consider the effects of Coriolis force and bottom friction on tidal wave.In this paper,the first-order linear mild-slope equations are deduced from Kirby mild-slope equation including wave and current interaction.Then,referring to the method of wave equations’ modification,the Coriolis force and bottom friction term are considered,and the effects of which have been performed with the radial sand ridges topography.Finally,the results show that the modified mild-slope equation can be used to simulate tidal motion,and the calculations agree well with the measurements,thus the applicability and validity of the mild-slope equation on tidal simulation are further proved.

关 键 词:缓坡方程  潮流模拟  科氏力  摩擦  底部  波流相互作用  波场计算  运动模拟
收稿时间:3/6/2009 12:00:00 AM
修稿时间:2010/1/27 0:00:00

Tide simulation using the mild-slope equation with Coriolis force and bottom friction
LI Ruijie,JIANG Senhui,JIANG Bing.Tide simulation using the mild-slope equation with Coriolis force and bottom friction[J].Acta Oceanologica Sinica,2010,29(6):44-50.
Authors:LI Ruijie  JIANG Senhui and JIANG Bing
Institution:1.Key Laboratory of Coastal Disaster and Defence of Ministry of Education, Hohai University Nanjing 210098, China;Laboratory of Marine and Enviroment, Hohai University, Nanjing 210098, China2.Laboratory of Marine and Enviroment, Hohai University, Nanjing 210098, China3.National Marine Data and Information Service, Tianjin 300171, China
Abstract:Since the mild-slope equation was derived by Berkhoff (1972), the researchers considered various mechanism to simplify and improve the equation, which has been widely used for coastal wave field calculation. Recently, some scholars applied the mild-slope equation in simulating the tidal motion, which proves that the equation is capable to calculate the tide in actual terrain. But in their studies, they made a lot of simplifications, and did not consider the effects of Coriolis force and bottom friction on tidal wave. In this paper, the first-order linear mild-slope equations are deduced from Kirby mild-slope equation including wave and current interaction. Then, referring to the method of wave equations' modification, the Coriolis force and bottom friction term are considered, and the effects of which have been performed with the radial sand ridges topography. Finally, the results show that the modified mild-slope equation can be used to simulate tidal motion, and the calculations agree well with the measurements, thus the applicability and validity of the mild-slope equation on tidal simulation are further proved.
Keywords:mild-slope equation  tidal calculation  Coriolis force  bottom friction  radial sand ridges
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