| LI Ruijie,JIANG Senhui,JIANG Bing. 2010. Tide simulation using the mild-slope equation with Coriolis force and bottom friction. Acta Oceanologica Sinica, (6):44－50 |
| Tide simulation using the mild-slope equation with Coriolis force and bottom friction |
| Tide simulation using the mild-slope equation with Coriolis force and bottom friction |
| Received:March 06, 2009 Revised:January 27, 2010 |
| DOI：10.1007/s13131-010-0075-2 |
| Key words:mild-slope equation tidal calculation Coriolis force bottom friction radial sand ridges |
| 中文关键词: mild-slope equation tidal calculation Coriolis force bottom friction radial sand ridges |
| 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. |
| Author Name | Affiliation | E-mail | | LI Ruijie | 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 | | | JIANG Senhui | Laboratory of Marine and Enviroment, Hohai University, Nanjing 210098, China | jiangsh@hhu.edu.cn | | JIANG Bing | National Marine Data and Information Service, Tianjin 300171, China | |
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| 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. |
| 中文摘要: |
| 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. |
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