Skip to main content
Log in

New method for low order spectral model and its application

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

In order to overcome the deficiency in classical method of low order spectral model, a new method for low order spectral model was advanced. Through calculating the multiple correlation coefficients between combinations of different functions and the recorded data under the least square criterion, the truncated functions which can mostly reflect the studied physical phenomenon were objectively distilled from these data. The new method overcomes the deficiency of artificially selecting the truncated functions in the classical low order spectral model. The new method being applied to study the inter-annual variation of summer atmospheric circulation over Northern Hemisphere, the truncated functions were obtained with the atmospheric circulation data of June 1994 and June 1998. The mechanisms for the two-summer atmospheric circulation variations over Northern Hemisphere were obtained with two-layer quasi-geostrophic baroclinic equation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Lorenz E N. Deterministic nonperiodic flow[J]. Journal of Atmospheric Sciences, 1963, 20(2):130–148.

    Article  MathSciNet  Google Scholar 

  2. Lorenz E N. The mechanics of vacillation[J]. Journal of Atmospheric Sciences, 1963, 20(5):448–464.

    Article  MathSciNet  Google Scholar 

  3. Charney Jule G, Devore John G. Multiple flow equilibria in the atmosphere and blocking[J]. Journal of Atmospheric Sciences, 1979, 36(7):1205–1216.

    Google Scholar 

  4. Charney Jule G, Straus David M. Form-drag instability, multiple equilibria and propagating planetary waves in baroclinic, orographically forced, planetary wave systems[J]. Journal of Atmospheric Sciences, 1980, 37(6):1157–1176.

    Google Scholar 

  5. Li Maicun, Luo Zhexian. Nonlinear mechanism of the abrupt change of the atmosphere atmospheric circulation in June and October[J]. Science in China, Series B, 1983, 13(2):187–192 (in Chinese).

    Google Scholar 

  6. Li Maicun, Luo Zhexian. Influence of moist process on summer atmospheric circulation of northerb hemisphere[J]. Chinese Journal of Atmospheric Sciences, 1987, 11(4):341–349 (in Chinese).

    MathSciNet  Google Scholar 

  7. Liu Chongjian, Tao Shiyan. Northward jump of the subtropical high and CUSP catastrophe[J]. Science in China, Series B, 1983, 13(5):474–480 (in Chinese).

    MathSciNet  Google Scholar 

  8. Miu Jinhai, Ding Minfang. Abrupt change and seasonal change of the atmospheric equilibrium states driven by the thermal forcing, the norward jump of the subtropical high[J]. Science in China, Series B, 1985, 15(1):87–96 (in Chinese).

    Google Scholar 

  9. Tung K K, Rosenthal A J. Theories of multiple equilibria—a critical reexamination, Part I: barotropic models[J]. Journal of Atmospheric Sciences, 1985, 42(24):2804–2819.

    Article  Google Scholar 

  10. Cehelsky P, Tung K K. Theories of multiple equilibria and weather regimes—a critical reexamination, Part II: baroclinic two-layer models[J]. Journal of Atmospheric Sciences, 1987, 44(21):3303–3382.

    Article  Google Scholar 

  11. Lü Keli, Wang Boqiang. On problems of highly truncated low-spectral model in studies of multiple equilibria in the atmosphere[J]. Journal of Tropical Meteorology, 1996, 12(1):51–59 (in Chinese).

    Google Scholar 

  12. Yeh Tucheng, Tao Shiyan, Li Maicun. Abrupt change of circulation over northern hemisphere during June and October [J]. Acta Meteorologica Sinica, 1958, 29(4):249–263 (in Chinese).

    Google Scholar 

  13. Huang Ronghui, Li Weijing. Impacts of the abnormal thermal state over the western pacific on the summer subtropical high over East Asia and its mechanism [J]. Scientia Atmospherica Sinica, 1988, 12(Special issue):107–116 (in Chinese).

    Google Scholar 

  14. Huang Ronghui, Sun Fengying. Impacts of tropical western pacific on the east asian summer monsoon[J]. J Meteor Soc Japan, 1992, 70(1):243–256.

    Google Scholar 

  15. Kalnay E, Kanamitsu M, Kistler R, et al. The NCEP/NCAR 40-year reanalysis project[J]. Bull Amer Meteor Soc, 1996, 77(3):437–471.

    Google Scholar 

  16. Liu Shida, Liu Shikuo. Dynamics of the Atmosphere[M]. Beijing University Press, Beijing, 1991, 186–198 (in Chinese).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Cao Jie Doctor  (曹杰).

Additional information

Communicated by HUANG Yong-nian

Project supported by the National Natural Science Foundation of China(No.40475040) and the Major State Basic Development Program of China(No.2003CB415100)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cao, J., You, Yl. New method for low order spectral model and its application. Appl Math Mech 27, 477–484 (2006). https://doi.org/10.1007/s10483-006-0407-z

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10483-006-0407-z

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

Navigation