摘要
本文把一大类大气、海洋方程归结为一种发展方程,具体构造了若干定时间步长的显式完全平方守恒差分格式。并证明在一定条件下,这类格式也具有能量守恒、“广义能量”守恒和“平均尺度”守恒的特性,它表明这类格式具有较好的计算稳定性和省时性。文中还探讨了显式平方守恒格式与隐式平方守恒格式之间的密切联系。最后给出了令人满意的用四波的R-H波作数值检验的结果。
In this paper a larger class of atmospheric and oceanic equations is reduced to a kind of evolution equation , and some constant time- step difference schemes, which are explicit and complete square conservative , are constructed . It is proved that the schemes have characteristics of energy conservation , ' generalized energy conservation' and ' mean scale conservation ' in some conditions. It shows that these schemes have better computational stabilities and time- saving properties. The close relation between the explicit and the implicit complete square conservative difference schemes is compared. In the end , some numerical tests have been done by using Rossby-Haurwitz wave with 4 waves and the results are satisfactory.
出处
《大气科学》
CSCD
北大核心
1991年第2期1-10,共10页
Chinese Journal of Atmospheric Sciences
基金
国家"七五"科技攻关项目
关键词
大气
海洋
差分格式
构造
应用
Evolution equation
Tomplete square conservation
Tomplete energy conservation
Mean scale conservation
Explicit difference scheme .
