%0 Journal Article
%T A Proper Time Integration with Split Stepping for the Explicit Free-Surface Modeling<br>显式自由表面模型时间分裂格式的一个积分方案
%A Zhou Weidong
%A <br>Zhou
%A Weidong
%J 大气科学进展
%D 2002
%I 
%X Errors due to split time stepping are discussed for an explicit free-surface ocean model. In commonly used split time stepping, the way of time integration for the barotropic momentum equation is not compatible with that of the baroclinic one. The baroclinic equation has three-time-level structure because of leapfrog scheme. The barotropic one, however, has two-time-level structure when represented in terms of the baroclinic time level, on which the baroclinic one is integrated. This incompatibility results in the splitting errors as shown in this paper. The proper split time stepping is therefore proposed in such a way that the compatibility is kept between the barotropic and baroclinic equations. Its splitting errors are shown extremely small, so that it is particularly relevant to long-term integration for climate studies. It is applied to a free-surface model for the North Pacific Ocean.
%K Free-surface model
%K Split time stepping
%K Split error
%K Leapfrog scheme<br>显式自由表面模型
%K 时间分裂格式
%K 分裂误差
%K 蛙跳格式
%K 斜压动量方程
%K 气候研究
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=E62459D214FD64A3C8082E4ED1ABABED5711027BBBDDD35B&cid=28A2F569B2458C17&jid=5434AFBF6CB6E7E8D67733B541F211C7&aid=00B825368B3C1050E2AB218C5C25E6CA&yid=C3ACC247184A22C1&vid=2A8D03AD8076A2E3&iid=0B39A22176CE99FB&sid=627456E7977439A4&eid=FDC7AF55F77D8CD4&journal_id=0256-1530&journal_name=大气科学进展&referenced_num=4&reference_num=7