摘要
由于大气海洋方程大都带有拟线性形式的对(平)流项,本文依据一个有关格式构造的定理,提出一个构造总能量守恒格式的新方法,不仅使以往构造的许多平方守恒格式成其为特例,而且为大气海洋数值模拟提供了灵活地选择计算格式的机会。文中给出的算例表明所构造格式的守恒性很好。
Because the advection term of atmospheric and oceanic equation systems is quasilinear, according a theory about construction of schemes, we summarize a new method of constructing the total energy conservation schemes by choosing different special functions. This study shows that not only many classical square conservation schemes can be derived too, but also difference schemes will be used flexibly for numerical simulation of atmospheric and oceanic systems. Furthermore, the concrete criterion for judging total energy conservation schemes is given. The numerical examination shows that these schemes keeps conservation features as much as possible under discretization.
出处
《空气动力学学报》
EI
CSCD
北大核心
2002年第4期416-421,共6页
Acta Aerodynamica Sinica
基金
国家重点基础研究发展规划项目(编号G1999032801)
国家杰出青年科学基金项目(编号49825109)
国家自然科学基金(编号49975020)资助。
关键词
大气海洋方程
总能量守恒
数值算法
计算稳定性
atmospheric and oceanic equations
total energy conservation numerical algorithms
numerical stability
