摘要
本文针对一维定常型对流占优扩散方程提出了一类迎风有限体积格式 .该格式对对流项具有二阶精度 ,对扩散项保持一阶精度 ,符合对流占优扩散问题强对流、弱扩散的特点 .
In this paper,a class of upwind finite volume scheme is presented for one dimensional steady convection-dominated diffusion equations.The scheme has second order accuracy for convective term and first order accuracy for diffusive term,which completely coincides with the character of strong convection and weak diffusion for convection-dominated diffusion problems.
出处
《应用数学》
CSCD
北大核心
2004年第4期544-550,共7页
Mathematica Applicata
基金
TheworkissupportedbytheDoctoralFoundationofTianjinNormalUniversity (5RL0 2 3)
关键词
一维定常型对流占优扩散方程
迎风有限体积格式
误差估计
One-dimensional steady convection-dominated diffusion equation
Upwind finite volume scheme
Error estimate
