Determination of geostrophic flow by applying the principle of minimum energy and the inverse method

Zou Jiansheng; Yuan Yeli

doi:10.1007/BF02842657

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Determination of geostrophic flow by applying the principle of minimum energy and the inverse method

OriginalPaper | Updated：2023-05-16

- Determination of geostrophic flow by applying the principle of minimum energy and the inverse method
- Determination of geostrophic flow by applying the principle of minimum energy and the inverse method
- 海洋湖沼学报（英文） 1989年7卷第1期页码：43-58
- Affiliations：
  
  Institute of Oceanology Academia Sinica
- Author bio：
- Funds：
  
  Contribution No. 1513 from Institute of Oceanology, Academia Sinica.
- DOI：10.1007/BF02842657
  中图分类号：
- 纸质出版：1989
- Accepted：
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Determination of geostrophic flow by applying the principle of minimum energy and the inverse method[J]. 海洋湖沼学报（英文）, 1989,7(1):43-58.

Jiansheng, Z., Yeli, Y. Determination of geostrophic flow by applying the principle of minimum energy and the inverse method., Chin. J. Ocean. Limnol. 7, 43–58 (1989). https://doi.org/10.1007/BF02842657
Determination of geostrophic flow by applying the principle of minimum energy and the inverse method[J]. 海洋湖沼学报（英文）, 1989,7(1):43-58. DOI： 10.1007/BF02842657.

Jiansheng, Z., Yeli, Y. Determination of geostrophic flow by applying the principle of minimum energy and the inverse method., Chin. J. Ocean. Limnol. 7, 43–58 (1989). https://doi.org/10.1007/BF02842657 DOI：

摘要

Abstract

This article gives a computing method to calculate the geostrophic current. The fact that kinetic energy of geostrophic motion and geostrophic potential energy reach minimum simultaneously. Fomins “principle of minimum kinetic energy” is equivalent to the principle of minimum geostrophic potential energy. We concluded that horizontal geostrophic velocities at different depths are along the same direction. Combining our method with C. Wunsch’s inverse method we can obtain the velocity components along and normal to the hydrographic sections. We used and analysed CTD and current meter data of “Experiment No. 3” exploration

December 1985–January 1986

in the west Pacific Ocean—Philippine area.

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references

Aki, K., P. G. Richards, 1980. Quantitative Seismology Theory and Method. W.H. Freeman and Company, San Francisco Vol II. pp. 641–717.

Broecher, W. S., 1974. “NO”, a conservative water-mass tracer.Earth Planet. Sci. lett. 23: 100–107.

Fomin, L. M., 1964. The Dynamic Method in Oceanography. Elsevier, New York, 212 pp.

Fomin, L. M., 1984. Estimation of the absolute velocity of currents in the ocean by the dynamic method, based on the principle of minimum of kinetic energy.Okeanologiya 24 (1): 47–54.

Kuhnert, F., 1976. Pseudoinverse Matrizen und die Methode der Regularisierung. Advanced Education Publication. Beijing. 77 pp. (in Chinese).

Wunsch, C., 1978. The North Atlantic general circulation west of 50°W determined by inverse method.Revs. Geophys. Space Phys. 16: 583–620.

Wunsch, C., 1982. Methods for box models and ocean circulation tracers: mathematical programming and nonlinear inverse theory.J. Geophys. Res. 87: 5647–5662.

Wunsch, C., D. X. Hu, B. Grant, 1983. Mass, heat, salt and nutrient fluxes in the South Pacific Ocean.J. Phys. Oceanogr. 13: 725–753.

Wunsch, C., 1985. Can a tracer field be inverted for velocity?J. Phys. Oceanogr. 15: 1521–1531.

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