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ON PROBLEMS OF HIGHLY TRUNCATED LOW-SPECTRAL MODEL IN STUDIES OF MULTIPLE EQUILIBRIA IN THE ATMOSPHERE

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  • The multiple atmospheric equilibria are studied by using a barotropic vorticity equation with thermal forcing and dissipative effects. Different low-spectral models are used to discuss the variations of theequilibrium states, with the results that the multiple features of equilibrium states depend heavily on thetruncations of the spectra, and the low-spectral model has obvious shortcomings in solving non-linear equations,suggesting that one has to be very Careful to employ highly truncated low-spectral model in approximating partial differential equations.
  • [1] Charney J G, Devore J G, 1979. Multiple flow equilibria in the atmosphere and blocking. J. A. S. 36: 1205-1216.
    [2] Lorenz E N,1960. Maximum simplification of the dynamic equations. Tellus, 12:243-254.
    [3] Miao Jinhai,Ding Minfang,1985. Catastrophe of atmospheric equilibria with thermal forcing and association with seaspnal variations and northward progression of subtropical high. Acla Scienlia Sinica (Series B),87-96. (in Chinese)
    [4] Vickroy J G, Dutton J A,1979. Bifurcation and Catastrophe in a simple,forced,dissipative quasi-geostrophic flow. J. A. S. 36:42-52.
    [5] Wiin-Nielsen A,1979. Steady and stability properties of a low-order barotropic system with forcing and dissipation. Tellus, 31:375-386.

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Lu Ken, Wang Boqiang. ON PROBLEMS OF HIGHLY TRUNCATED LOW-SPECTRAL MODEL IN STUDIES OF MULTIPLE EQUILIBRIA IN THE ATMOSPHERE [J]. Journal of Tropical Meteorology, 1997, 3(1): 95-104.
Lu Ken, Wang Boqiang. ON PROBLEMS OF HIGHLY TRUNCATED LOW-SPECTRAL MODEL IN STUDIES OF MULTIPLE EQUILIBRIA IN THE ATMOSPHERE [J]. Journal of Tropical Meteorology, 1997, 3(1): 95-104.
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Manuscript History

Manuscript received: 18 November 1994
Manuscript revised: 17 March 1995
通讯作者: 陈斌, bchen63@163.com
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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ON PROBLEMS OF HIGHLY TRUNCATED LOW-SPECTRAL MODEL IN STUDIES OF MULTIPLE EQUILIBRIA IN THE ATMOSPHERE

Abstract: The multiple atmospheric equilibria are studied by using a barotropic vorticity equation with thermal forcing and dissipative effects. Different low-spectral models are used to discuss the variations of theequilibrium states, with the results that the multiple features of equilibrium states depend heavily on thetruncations of the spectra, and the low-spectral model has obvious shortcomings in solving non-linear equations,suggesting that one has to be very Careful to employ highly truncated low-spectral model in approximating partial differential equations.

Lu Ken, Wang Boqiang. ON PROBLEMS OF HIGHLY TRUNCATED LOW-SPECTRAL MODEL IN STUDIES OF MULTIPLE EQUILIBRIA IN THE ATMOSPHERE [J]. Journal of Tropical Meteorology, 1997, 3(1): 95-104.
Citation: Lu Ken, Wang Boqiang. ON PROBLEMS OF HIGHLY TRUNCATED LOW-SPECTRAL MODEL IN STUDIES OF MULTIPLE EQUILIBRIA IN THE ATMOSPHERE [J]. Journal of Tropical Meteorology, 1997, 3(1): 95-104.
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