Design of a new dynamical core for global atmospheric models based on some efficient numerical methods

查看全文 作　　者：WANG Bin, WAN Hui, Jl Zhongzhen, ZHANG Xin, YU Rucong, YU Yongqiang & LIU HongtaoState Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China;Department of Computational Mathematics, Academy of Mathematics and System Sciences, Peking University, Beijing 100871, China 出　　处：《Science China Mathematics》索引2004年第47卷第z1期,共18页 基　　金：This paper is supported by the 973 Project(Grant No.G1999032801);the Fund for Innovative Research Groups(Grant No.41221503);the National Natural Science Foundation of China(Grant No.40233031). 摘　　要：A careful study on the integral properties of the primitive hydrostatic balance equations for baroclinic atmosphere is carried out, and a new scheme todesign the global adiabatic model of atmospheric dynamics ispresented. This scheme includes a method of weighted equal-areamesh and a fully discrete finite difference method with quadraticand linear conservations for solving the primitive equationsystem. Using this scheme, we established a new dynamical corewith adjustable high resolution acceptable to the availablecomputer capability, which can be very stable without anyfiltering and smoothing. Especially, some important integralproperties are kept unchanged, such as the anti-symmetries of thehorizontal advection operators and the vertical convectionoperator, the mass conservation, the effective energy conservationunder the standard stratification approximation, and so on. Somenumerical tests on the new dynamical core, respectively regardingits global conservations and its integrated performances inclimatic modeling, incorporated with the physical packagesfrom the Community Atmospheric Model Version 2 (CAM2) of NationalCenter for Atmospheric Research (NCAR), are included. 关 键 词：DYNAMICAL core, EQUAL-AREA mesh, anti-symmetry, effective energy conservation.