Three-dimensional decomposition method of global atmospheric circulation  

作　　者：LIU HaiTao1,2,3, HU ShuJuan4, XU Ming5 & CHOU JiFan6,7 1 State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China 2 Graduate University of Chinese Academy of Sciences, Beijing 100049, China 3 Beijing Climate Center, Beijing 100089, China 4 Department of Mathematics, Lanzhou University, Lanzhou 730000, China 5 Shanghai Typhoon Institute, Shanghai 200030, China 6 Department of Atmospheric Sciences, Lanzhou University, Lanzhou 730000, China 7 China Meteorological Administration Training Center, Beijing 100089, China 

出　　处：《Science China Earth Sciences》2008年第3期386-402,共17页中国科学（地球科学英文版）

基　　金：the National Basic Research Program of China (Grant Nos. 2006CB403607 and 2006CB400503);the National Natural Science Foundation of China (Grant Nos. 40475027 and 40575028)

摘　　要：By adopting the idea of three-dimensional Walker, Hadley and Rossby stream functions, the global atmospheric circulation can be considered as the sum of three stream functions from a global perspective. Therefore, a mathematical model of three-dimensionalBy adopting the idea of three-dimensional Walker, Hadley and Rossby stream functions, the global atmospheric circulation can be considered as the sum of three stream functions from a global per- spective. Therefore, a mathematical model of three-dimensional decomposition of global atmospheric circulation is proposed and the existence and uniqueness of the model are proved. Besides, the model includes a numerical method leading to no truncation error in the discrete three-dimensional grid points. Results also show that the three-dimensional stream functions exist and are unique for a given velocity field. The mathematical model shows the generalized form of three-dimensional stream func- tions equal to the velocity field in representing the features of atmospheric motion. Besides, the vertical velocity calculated through the model can represent the main characteristics of the vertical motion. In sum, the three-dimensional decomposition of atmospheric circulation is convenient for the further in- vestigation of the features of global atmospheric motions.

关 键 词：THREE-DIMENSIONAL decomposition of the GLOBAL atmospheric circulation generalized WALKER HADLEY and ROSSBY stream functions existence and uniqueness vertical motion 

分 类 号：P434[天文地球—大气科学及气象学]