摘要
提出了用ｌｎσ等距分层和Ｔｓｃｈｅｂｙｓｃｈｅｆｆ多项式沿垂直方向展开气象要素的方案；并证明：在绝热无耗散且时间和水平方向要素连续的情况，可以在高精度条件下，保证质量和能量守恒，且具有正确的动、位能之间的转换关系。数值计算表明：两方案均有较高的计算精度；在积分静力方程时，位势高度计算误差显著小于ＥＣ７９方案。
Two schemes for vertical discretization of the model are proposed. one with equal lnσ interval and the other in terms of Tschebyscheff polynomial. It is proved that in adiabatic and inviscid case if the meteorological elements are continuous in time and horizontal direction the total energy and total mass are conserved in high approximation, and there is a correct conversion between kinetic and total potential energy. Numerical computations show that the schemes both have highaccuracy. For example. in integrating the hydrostatic equation thecomputational errors of geopotential resulted from the schemes are much less than those resulted from EC79.
出处
《气象学报》
CSCD
北大核心
1996年第6期641-650,共10页
Acta Meteorologica Sinica
关键词
大气模式
垂直离散
数值计算
Lnσ. Tschebyscheff polynomial. Conservation of mass and of energy.Conversion between kinetic energy and potential energy.
