| LONG VALID TIME ENERGY PERFECT CONSERVATIVE FIDELITY SPECTRAL SCHEMES OF BAROTROPIC PRIMITIVE EQUATIONS |
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| 作者姓名： | 钟青 |
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| 作者单位： | Institute of |
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| 基金项目： | Sponsored partly by Priority-Scientific-Projects for China's 7th and 8th Five-Year Plan，a Priority Project of the Director's Foundation of the Institute of Atmospheric Physics,Chinese Academy of Sciences. |
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| 摘 要： | In accordance with a new compensation principle of discrete computations,the traditional meteo-rological global (pseudo-) spectral schemes of barotropic primitive equation (s) are transformed intoperfect energy conservative fidelity schemes,thus resolving the problems of both nonlinear computa-tional instability and incomplete energy conservation,and raising the computational efficiency of thetraditional schemes.As the numerical tests of the new schemes demonstrate,in solving the problem of energy conser-vation in operational computations,the new schemes can eliminate the (nonlinear) computational in-stability and,to some extent even the (nonlinear) computational diverging as found in the traditionalschemes,Further contrasts between new and traditional schemes also indicate that,in discrete opera-tional computations,the new scheme in the case of nondivergence is capable of prolonging the valid in-tegral time of the corresponding traditional scheme,and eliminating certain kind of systematical com-putational“climate drift”,meanwhile increasing its computational accuracy and reducing its amount ofcomputation.The working principle of this paper is also applicable to the problem concerning baroclin-ic primitive equations.
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LONG VALID TIME ENERGY PERFECT CONSERVATIVE FIDELITY SPECTRAL SCHEMES OF BAROTROPIC PRIMITIVE EQUATIONS |
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| Zhong Qing Institute of Atmospheric Physics,Chinese Academy of Sciences,Beijing.LONG VALID TIME ENERGY PERFECT CONSERVATIVE FIDELITY SPECTRAL SCHEMES OF BAROTROPIC PRIMITIVE EQUATIONS[J].Acta Meteorologica Sinica,1995(3). |
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| Authors: | Zhong Qing Institute of Atmospheric Physics Chinese Academy of Sciences Beijing |
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| Affiliation: | Zhong Qing Institute of Atmospheric Physics,Chinese Academy of Sciences,Beijing 100080 |
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| Abstract: | |
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| Keywords: | perfect energy conservative fidelity and traditional scheme nonlinear computational instability and convergence long valid time computational efficiency computational drift |
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