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考虑摩擦的绕岛理论及在印尼贯穿流流量估算中的应用
引用本文:杨延召,王立伟,徐腾飞,魏泽勋.考虑摩擦的绕岛理论及在印尼贯穿流流量估算中的应用[J].海洋科学进展,2020,38(1):28-37.
作者姓名:杨延召  王立伟  徐腾飞  魏泽勋
作者单位:国防科技大学气象海洋学院,江苏南京211101;青岛科技大学数理学院,山东青岛266061,国防科技大学气象海洋学院,江苏南京211101;自然资源部第一海洋研究所,山东青岛266061,自然资源部第一海洋研究所,山东青岛,266061
基金项目:国家自然科学基金项目——太平洋-印度洋贯穿流流量的观察研究;国家重点研发计划项目——长航程水下滑翔机研制与海试应用;全球变化与海气相互作用专项资助项目——太平洋-印度洋与亚洲季风的相互影响;卡里马塔海峡贯穿流的年际变化
摘    要:基于Godfrey绕岛理论,在正压、线性模型下同时考虑了底摩擦和侧摩擦,得到带有摩擦的绕岛理论。根据两个岛屿的经向长度不同,将其分为3种情况;通过积分动量方程,分别得到了各自的带有摩擦的岛屿流函数解析解,从而得到两岛屿间流量公式。当忽略侧摩擦或底摩擦中的一个时,可得Wajsowicz的带有摩擦的绕岛理论。利用CCMP的风场数据,计算了印尼贯穿流的流量,通过比较发现,当只考虑侧摩擦时,流量会增加;当只考虑底摩擦时,流量会减少;当同时考虑底摩擦和侧摩擦时,流量会减少,减少的幅度较只考虑底摩擦时更大。与不考虑摩擦时相比,同时考虑摩擦和侧摩擦时的流量减少量不超过25%。

关 键 词:侧摩擦  底摩擦  印尼贯穿流

The Island Rule With Consideration of Frictions and Its Application on the Transport Estimation of the Indonesian Throughflow
YANG Yan-zhao,WANG Li-wei,XU Teng-fei,WEI Ze-xun.The Island Rule With Consideration of Frictions and Its Application on the Transport Estimation of the Indonesian Throughflow[J].Advances in Marine Science,2020,38(1):28-37.
Authors:YANG Yan-zhao  WANG Li-wei  XU Teng-fei  WEI Ze-xun
Affiliation:(College of Meteorology and Oceanography,National University of Defense Technology,Nanjing 211101,China;College of Mathematical Science and Physics,Qingdao University of Science and Technology,Qingdao 266061,China;First Institute of Oceanography,MNR,Qingdao 266061,China)
Abstract:Based on Godfrey’s Island Rule, the Island Rule with consideration of lateral and bottom frictions is derived with a barotropic model. The islands are divided into three categories according to their meridional length. By integrating the momentum equations, the analytical solutions of the stream function with frictions are obtained, and the formulas on the volume between two islands are thus obtained. Wajsowicz’s Island Rule with friction is obtained when one of the lateral and bottom frictions is ignored. Based on Cross-Calibrated Multiplatform wind datasets, the volume transport of the Indonesian throughflow is calculated. It is found by comparison that the volume transport will be increased when only the lateral friction is considered, while it will be decreased;when only the bottom friction is considered. When both the lateral and bottom frictions are considered, the volume transport will be decreased, and this reduction is even greater than the case when only bottom friction is considered. Compared with that without friction, the reduction rate of the volume transport with consideration of both lateral and bottom frictions is less than 25%.
Keywords:lateral friction  bottom friction  Indonesian Throughflow
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