摘要
在对流-弥散方程显式差分法中,对流项的差分格式对方程的稳定性有着重要的影响,传统的稳定性分析方法是对每种差分格式进行单独分析,其过程与结果均过于繁琐。本文在对其对流项全面分析的基础上,在误差分析中引入权重系数α,从而使得其稳定性讨论公式统一化,有利于其稳定性的进一步分析与应用。分析结果表明:在对流-弥散方程中,对流项取后项差分格式其稳定性最好,方程最易达到收敛,这与传统的分析结果也是相一致的。
The difference form of convective part has an importhant role in convective-divergent equation.The traditional method is to analyze every difference form,the process and result are too complexi.Based on full analysis for the convective-divergent equation,we introduced the weight coefficient α in the equation that could make the stable equation more uniform.The results showed that the best stability difference form is backward;consequently the convective-divergence is most easily converged,witch is in accord with the tradition analysis result.
出处
《水资源与水工程学报》
2010年第1期132-134,共3页
Journal of Water Resources and Water Engineering
关键词
差分法
对流-弥散方程
稳定性
权重系数
finite difference
convective-divergent equation
stability
weight coefficient
