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 

作者机构：LASG Institute of Atmospheric Physics Chinese Academy of Sciences Beijing 100029 China 

出 版 物：《Chinese Science Bulletin》 (CHINESE SCIENCE BULLETIN)

年 卷 期：2003年第48卷第10期

页      面：1016-1020页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

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) 

主　　题：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 

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.