| FENG Shizuo,JU Lian,JIANG Wensheng. 2008. A Lagrangian mean theory on coastal sea circulation with inter-tidal transports I. Fundamentals. Acta Oceanologica Sinica, (6):1－16 |
| A Lagrangian mean theory on coastal sea circulation with inter-tidal transports I. Fundamentals |
| A Lagrangian mean theory on coastal sea circulation with inter-tidal transports I. Fundamentals |
| Received:July 31, 2007 Revised:November 02, 2007 |
| DOI： |
| Key words:nonlinear shallow waters tide-dominating system coastal water circulation Lagrangian residual velocity Lagrangian inter-tidal concentration |
| 中文关键词: nonlinear shallow waters tide-dominating system coastal water circulation Lagrangian residual velocity Lagrangian inter-tidal concentration |
| 基金项目:The National Key Basic Research Science Foundation ("973" project) of China under contract No. 2002CB412402; the National Natural Science Foundation of China under contract No. 40276007; the Program for New Century Excellent Talents in University of China NCET-05-059 2. |
| Author Name | Affiliation | E-mail | | FENG Shizuo | Key Laboratory of Physical Oceanography of Ministry of Education, Institute of Physical Oceanography, Ocean University of China, Qingdao 266100, China | | | JU Lian | Key Laboratory of Physical Oceanography of Ministry of Education, Institute of Physical Oceanography, Ocean University of China, Qingdao 266100, China | | | JIANG Wensheng | Key Laboratory of Physical Oceanography of Ministry of Education, Institute of Physical Oceanography, Ocean University of China, Qingdao 266100, China | wsjang@ouc.edu.cn |
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| Abstract: |
| A brief review is made on the theory of the Lagrangian residual circulation and inter-tidal transports in a convectively weakly nonlinear system. In the review the emphasis is put on the systematical development of the theory and its weakness of convectively weakly nonlinear approximation. The fundamentals of a Lagrangian tidally-averaged theory on circulation with inter-tidal transport processes have been proposed for a general nonlinear coastal/estuarine system. The Lagrangian residual velocity is strictly defined, and it has been verified to be able to embody the velocity field of circulation. A new concept of the concentration for intertidal transport processes is presented. The concentration describing the inter-tidal transport processes should be a "Lagrangian inter-tidal concentration" defined and named, but not the Eulerian tidally-averaged concentration used traditionally. The circulation described here contains a set of infinite temporal-spatial fields of velocity/concentration, each of which corresponds to a specific value of tidal phases varying continuously over one tidal cycle. When the convectively weakly nonlinear condition(with a smaller order of eddy diffusion and sources) is approximately satisfied, a set of infinite temporal-spatial fields of velocity/concentration can be reduced to a single one:the mass transport velocity/the Eulerian tidally averaged concentration as exhibited traditionally. |
| 中文摘要: |
| A brief review is made on the theory of the Lagrangian residual circulation and inter-tidal transports in a convectively weakly nonlinear system. In the review the emphasis is put on the systematical development of the theory and its weakness of convectively weakly nonlinear approximation. The fundamentals of a Lagrangian tidally-averaged theory on circulation with inter-tidal transport processes have been proposed for a general nonlinear coastal/estuarine system. The Lagrangian residual velocity is strictly defined, and it has been verified to be able to embody the velocity field of circulation. A new concept of the concentration for intertidal transport processes is presented. The concentration describing the inter-tidal transport processes should be a "Lagrangian inter-tidal concentration" defined and named, but not the Eulerian tidally-averaged concentration used traditionally. The circulation described here contains a set of infinite temporal-spatial fields of velocity/concentration, each of which corresponds to a specific value of tidal phases varying continuously over one tidal cycle. When the convectively weakly nonlinear condition(with a smaller order of eddy diffusion and sources) is approximately satisfied, a set of infinite temporal-spatial fields of velocity/concentration can be reduced to a single one:the mass transport velocity/the Eulerian tidally averaged concentration as exhibited traditionally. |
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