LONG VALID TIME ENERGY PERFECT CONSERVATIVE FIDELITY SPECTRAL SCHEMES OF BAROTROPIC PRIMITIVE EQUATIONS

<正> 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.