Abstract
In this paper, a research on the problem of multiple solutions of the three-coefficient low-spectrum model for the quasi-geostrophic ocean current equation with forcing and dissipation terms is carried out. The state of the ocean current under wind conditions such as those of typhoon is discussed carefully and the relations between the multiple solutions and the coefficientsR and ε are analyzed. It is seen that in an approximate triangular region with the Rossby-coefficientR less than 0.5, and the friction-coefficient ε less than 0.22, there exist three equilibrium solutions, among which two are stable and one is unstable. For the former, the coefficientA orB in the expansion is rather large, while for the latter.A orB is relatively small. They respectively imply how much the ocean energy is fed back from the wind stress and the solution with a largeA is much more stable than that with a largerB.
Similar content being viewed by others
References
Charney, J. G. and Devore, J. G., Multiple flow equilibria in the atmosphere and blocking,J. Atmos. Sci.,36, (1979), 1205–1216.
Veronis, G., An analysis of wind-driven ocean circulation with a limited number of fourier compont,J. Atmos. Sci.,20, (1963), 577–593.
Ji Zhongzhen and Zheng Chaozhou, On the multiple solutions to a low-spectrum model of wind-driving ocean current equation (I),Chinese J. Atmos. Sci.,14, (1990), 395–403.
You Bingli, A Complement Course in Ordinary Differential Equation, People Education Press, (1982), 334, (in Chinese).
Author information
Authors and Affiliations
Additional information
Institute of Systems Science, Academia Sinica
The project partly supported by the national project of 75-76-01-03 “Study on numerical prediction of the South China Sea current”.
Rights and permissions
About this article
Cite this article
Zhongzhen, J., Chaozhou, Z. & Suzhen, J. On the multiple solutions to a three-coefficient spectral model of wind-driving ocean current equation. Acta Mech Sinica 7, 209–217 (1991). https://doi.org/10.1007/BF02487588
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02487588