%0 Journal Article
%T Dynamic modification of the shallow water equation on the slowly changing underlying surface condition<br>缓变下垫面对浅水方程的动力学订正
%A Da Chao-Jiu
%A Feng Ai-Xia
%A Gong Zhi-Qiang
%A Song Jian
%A <br>达朝究
%A 冯爱霞
%A 龚志强
%A 宋健
%J 物理学报
%D 2013
%I 
%X In this paper, the shallow water equation is discussed, when the underlying surface is slowly changing. From the continuity equation and the equation of motion controlling the movement of the atmosphere, the slowly changing of the underlying surface is superimposed on the topography function as a small quantity, using the upper and lower boundary conditions of the atmosphere, the modified shallow water equation is obtained. In the modified shallow water equation, the slowly changing local horizontal divergence modifies the equilibrium between the local horizontal divergence and the local change of the thickness of the atmosphere. On the basis of this, the vorticity equation is obtained, which contains the slowly changing underlying surface.
%K underlying surface
%K global warming
%K slowly changing
%K shallow water equation<br>下垫面
%K 全球变暖
%K 缓变
%K 浅水方程
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=96293AEB9294B34DE8135FC8BD05FD9C&yid=FF7AA908D58E97FA&iid=38B194292C032A66&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=0