Construction and numerical tests of the multi-conservation difference scheme  

作　　者：WANG Bin & JI Zhongzhen LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China 

出　　处：《Chinese Science Bulletin》2003年第10期1016-1020,共5页

基　　金：supported by the National Science Fund for Distinguished Young Scholars(Grant No.49825109);the National Key Development and Planning Project for the Basic Research(973)(Grant No.G1999032801);the CAS Key Innovation Direction Project(Grant No.KZCX2208).

摘　　要：A difference scheme with four conservation properties for solving the spherical barotropic shallow water equations is constructed, based on a proper formulae of the equations and a skillful correction on the spatial difference parts of the semi-discrete equations with which the number of the conservation properties of these equations is increased from three to four. Numerical tests are included, and good results are achieved in this study.A difference scheme with four conservation properties for solving the spherical barotropic shallow water equations is constructed, based on a proper formulae of the equations and a skillful correction on the spatial difference parts of the semi-discrete equations with which the number of the conservation properties of these equations is increased from three to four. Numerical tests are included, and good results are achieved in this study.

关 键 词：多态守恒 差分图解法 动力系统 正压浅水波方程 大气系统 数字模型 

分 类 号：O353.2[理学—流体力学]