摘要
针对一维非线性对流占优扩散方程,提出了一类变网格特征差分格式,该格式能够根据解的梯度变化及时对计算网格进行调整.与均匀网格格式相比,给出的变网格特征差分格式对于对流占优扩散问题有着更好的计算效果.
A class of characteristic difference method with moving mesh is presented for onedimensional nonlinear convectiondominated diffusion equations.This method can adaptively adjust the computational mesh according to the gradient of the solutions.Compared with the uniform mesh method,the method in this paper has higher computational efficiency for convectiondominated diffusion equations.
出处
《计算物理》
CSCD
北大核心
2003年第6期493-497,共5页
Chinese Journal of Computational Physics
关键词
对流扩散方程
变网格特征差分格式
最大模误差估计
梯度变化
变网格剖分
网格调整
one-dimensional nonlinear convection-dominated diffusion equation
characteristic difference scheme with moving mesh
maximum norm error estimate
