%0 Journal Article
%T A COMPARISON BETWEEN FINITE DIFFERENCE SCHEMES AND PHYSICAL CONSERVATION FEATURES<br>有限差分格式与物理量守恒性
%A JI Zhong-Zhen WANG Bin YANG Shi-Fang LASG
%A Institute of Atmospheric Physics
%A Chinese Academy of Sciences
%A Beijing
%A China
%A <br>季仲贞
%J 地球物理学报
%D 2004
%I 
%X It is a key issue for successful atmospheric numerical simulations that how to construct the relatively efficient discrete schemes of the original problem. In this paper the spherical shallow water equations are taken as an example to address this issue. Three schemes, i.e., (i) an explicit energy conservation scheme, (ii) a sympletic-like scheme, and (iii) a multi-conservation scheme, are constructed for the equations in different partial differential forms, respectively. Numerical tests show that these different difference schemes conserve the different strongpoints and shortcomings in physical conservation properties and numerical costs because of the different scheme constructions, which provide choice basis of algorithms according to the real application.
%K Spherical shallow water equations
%K Physical conservation
%K Energy conservation scheme
%K Sympletic-like scheme
%K Multi-conservation scheme<br>球面浅水方程
%K 物理量守恒
%K 总能量守恒格式
%K 准辛格式
%K 多守恒格式
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=E62459D214FD64A3C8082E4ED1ABABED5711027BBBDDD35B&cid=1E44AE713D8A6DE0&jid=14DC41C59CBF6770055A7D610D53AE46&aid=7BFE03EDAD139FC2&yid=D0E58B75BFD8E51C&vid=F4B561950EE1D31A&iid=B31275AF3241DB2D&sid=243DE6042D93E88B&eid=112A5CAF55F27887&journal_id=0001-5733&journal_name=地球物理学报&referenced_num=0&reference_num=11