对多层原始方程模式的合理性分析  

REASONABLENESS ANALYSIS OF THE DYNAMIC FRAME OF A MULTILEVEL PRIMITIVE EQUATION MODEL

作　　者：王诗文 廖洞贤 

机构地区：[1]国家气象局国家气象中心,北京100081

出　　处：《气象学报》1993年第1期1-11,共11页Acta Meteorologica Sinica

摘　　要：本文分理论基础和数值分析两部份。在第一部份中,利用绝热无耗散多层原始方程模式从理论上证明:如在初始时刻t_0时运动是对称的(包括地形是对称的),则在t>t_0的任一时刻,运动将保持是对称的。还在考虑对称地形情况下用模式进行时间数值积分,证明了理沦结果的正确性,因而,理论结果可以作为分析模式合理性的基础。 但是,如考虑实际地形,则由于其对称部份和反对称部份数量相当,运动的对称性会大大降低,受影响的地区主要是北半球高山地区和南半球与之对称的低地。而且,这种影响是从低层逐渐传播到高层的。This paper consists of two parts,namely,theoretical bases and numerical analysis.In the first part,it has been proved by using a multilevel primitive equation model that if the atmospheric motion be symmetric at the initial instant t0 in the case of symmetric orography,then the motion would be kept in the symmetric state at any instant t>t0. This also has been verified by numerical experiments in the second part. Therefore,it can be used as the base of analysing the reasonableness of the dynamic frame of a multilevel primitive equation model.However,if real orography is considered,the symmetry of the atmospheric motion would much be reduced.The main areas affected are the highlands in the Northern Hemisphere and the lowlands at the same latitudes of those highlands in the Southern Hemisphere. Furthermore,such reduction is gradually propagated from low level to high level.

关 键 词：大气 原始方程模式 合理性 

分 类 号：P437[天文地球—大气科学及气象学]