Space-time objective decomposition of vortex equations and mechanism analysis of subtropical high abnormal activities

  • Mei Hong (洪梅)
  • Ren Zhang (张韧)Email author
  • Feng Xue (薛峰)
  • Ke-feng Liu (刘科峰)


To analyze the dynamic mechanism of unusual activities of the subtropical high, the space-time varible separation of the partial differential vortex equations is carried out with Galerkin methods based on the heat force and the whirl movement dissipation effect. Aiming at the subjective and man-made conventional method of choice in the space basis functions, we propose to combine the empirical orthogonal function (EOF) analysis with the genetic algorithm to inverse the space basis functions from the actual sequence of fields. A group of trigonometric functions are chosen as a generalized space basis function. With the least-squares error of the basis function and EOF typical fields, and with the complete orthogonality of basis functions, we can get the dual-bound function. A genetic algorithm is then introduced to carry out surface fitting and coefficient optimization of the basis function. As a result, the objective and reasonable constant differential equation of the subtropical high is obtained by inversion. Finally, based on the obtained nonlinear dynamics model, the dynamic behavior and mechanism of the subtropical high is analyzed and discussed under the influence of heat force. We find that solar radiation and zonal differences in land and sea are important factors impacting the potential field and flow field changes of the subtropical areas. These factors lead to strength changes of the subtropical high and medium-term advance/retreat activities. The former is a gradual change, while the latter shows more break characteristics. Meaningful results are obtained in the analysis.

Key words

basis function fitting empirical orthogonal function (EOF) genetic algorithm nonlinear equation of vortex subtropical high 

Chinese Library Classification


2000 Mathematics Subject Classification

31A30 92D10 76B47 


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Copyright information

© Shanghai University and Springer Berlin Heidelberg 2009

Authors and Affiliations

  • Mei Hong (洪梅)
    • 1
    • 2
  • Ren Zhang (张韧)
    • 1
    • 2
    Email author
  • Feng Xue (薛峰)
    • 2
  • Ke-feng Liu (刘科峰)
    • 1
  1. 1.Institute of MeteorologyPLA University of Science and TechnologyNanjingP. R. China
  2. 2.Institute of Atmospheric PhysicsChinese Academy of Sciences, LASGBeijingP. R. China

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