中国地理科学(英文版) ›› 2010, Vol. 20 ›› Issue (5): 383-388.doi: 10.1007/s11769-010-0411-7

• 论文 •    下一篇

Approximate Solution for Mechanism of Thermally and Wind-driven Ocean Circulation

MO Jiaqi1,3, LIN Wantao2, LIN Yihua2   

  1. 1. Anhui Normal University, Wuhu 241000, China;
    2. State Key Laboratory of Numerial Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China;
    3. Division of Computational Science, E-Institutes of Shanghai Universities at Shanghai Jiaotong University, Shanghai 200240, China
  • 收稿日期:2010-02-02 修回日期:2010-06-04 出版日期:2010-09-15 发布日期:2010-09-14
  • 通讯作者: MO Jiaqi.E-mail:mojiaqi@mail.ahnu.edu.cn E-mail:mojiaqi@mail.ahnu.edu.cn
  • 基金资助:

    Under the auspices of National Natural Science Foundation of China(No.40876010);Main Direction Program of Knowledge Innovation Programs of the Chinese Academy of Sciences(No.KZCX2-YW-Q03-08);R & D Special Fund for Public Welfare Industry(meteorology)(No.GYHY200806010);LASG State Key Laboratory Special Fund;Foundation of Shanghai Municipal Education Commission(No.E03004);Natural Science Foundation of Zhejiang Province(No.Y6090164)

Approximate Solution for Mechanism of Thermally and Wind-driven Ocean Circulation

MO Jiaqi1,3, LIN Wantao2, LIN Yihua2   

  1. 1. Anhui Normal University, Wuhu 241000, China;
    2. State Key Laboratory of Numerial Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China;
    3. Division of Computational Science, E-Institutes of Shanghai Universities at Shanghai Jiaotong University, Shanghai 200240, China
  • Received:2010-02-02 Revised:2010-06-04 Online:2010-09-15 Published:2010-09-14
  • Supported by:

    Under the auspices of National Natural Science Foundation of China(No.40876010);Main Direction Program of Knowledge Innovation Programs of the Chinese Academy of Sciences(No.KZCX2-YW-Q03-08);R & D Special Fund for Public Welfare Industry(meteorology)(No.GYHY200806010);LASG State Key Laboratory Special Fund;Foundation of Shanghai Municipal Education Commission(No.E03004);Natural Science Foundation of Zhejiang Province(No.Y6090164)

摘要:

The thermally and wind-driven ocean circulation is a complicated natural phenomenon in the atmospheric physics. Hence we need to reduce it using basic models and solve the models using approximate methods. A non-linear model of the thermally and wind-driven ocean circulation is used in this paper. The results show that the zero solution of the linear equation is a stable focus point, which is the path curve trend origin point as time (t) trend to infinity. By using the homotopic mapping perturbation method, the exact solution of the model is obtained. The homotopic mapping perturbation method is an analytic solving method, so the obtained solution can be used for analytic operating sequentially. And then we can also obtain the diversified qualitative and quantitative behaviors for corresponding physical quantities.

关键词: global climate, atmosphere-ocean oscillation, homotopic mapping, approximate solution

Abstract:

The thermally and wind-driven ocean circulation is a complicated natural phenomenon in the atmospheric physics. Hence we need to reduce it using basic models and solve the models using approximate methods. A non-linear model of the thermally and wind-driven ocean circulation is used in this paper. The results show that the zero solution of the linear equation is a stable focus point, which is the path curve trend origin point as time (t) trend to infinity. By using the homotopic mapping perturbation method, the exact solution of the model is obtained. The homotopic mapping perturbation method is an analytic solving method, so the obtained solution can be used for analytic operating sequentially. And then we can also obtain the diversified qualitative and quantitative behaviors for corresponding physical quantities.

Key words: global climate, atmosphere-ocean oscillation, homotopic mapping, approximate solution