ON THE VERTICAL DISCRETIZATION OF ATMOSPHERIC MODELS—PART Ⅱ:VERTICAL DISCRETIZATION

Two schemes for vertical discretization of the model are proposed,one with equal △lnσ and the other in terms of Tschebyscheff polynomials.It is proved that in adiabatic and inviscid cases if the meteorological elements and related physical quantities are continuous in time and in the horizontal,the total energy and total mass are conserved within a high approximation respectively,and there is a correct conversion between total kinetic and total potential energy.Numerical computations show that the schemes both have high accuracy.For example,in integrating the hydrostatic equation the computational errors of geopotential height resulting from the schemes are much less than those resulting from EC79 in σ-coordinate.