Analysis of explicit difference methods for a diffusion‐convection equation
Analysis of explicit difference methods for a diffusion‐convection equation
复制标题
扩散对流方程的显式差分法分析
DOI：
--
复制
发表时间：
1978
期刊：
影响因子：
--
通讯作者：
I. Gladwell
中科院分区：
文献类型：
--
作者：
J. L. Siemieniuch;I. Gladwell
我们考虑用各种显式有限差分方法数值求解一维扩散-对流方程，包括传统的中心和迎风对流项的替换。我们讨论了常见的现象，如不稳定、数值解中不需要的振荡和数值扩散，并用简单的数学方法分析了这些影响。
We consider the numerical solution of a model one-dimensional diffusion-convection equation by a variety of explicit finite difference methods including conventional central and upwind replacements of the convection terms. We discuss commonly observed phenomena such as instability, unwanted oscillations in the numerical solution, and numerical diffusion and we present an analysis of these effects by simple mathematical techniques.