用算子分裂法解Burgers方程  

An Operator-splitting Algorithm for Solutions of Burger's Equations

作　　者：曹志先[1] 魏良琰[1] 

机构地区：[1]武汉水利电力学院河流工程系

出　　处：《武汉水利电力学院学报》1991年第2期193-201,共9页

摘　　要：本文给出了一种求解非线性对流扩散方程:Burgers方程的算子分裂法,用显式差分格式处理扩散算子,用特征线法处理纯对流算子。并分析了算法的稳定性条件。然后,对一、二维Burgers方程进行数值解,所得结果与分析解或已有数值解吻合,表明了算法的有效性。An operator-splitting algorithm for nonlinear advective diffusion equations——Burger's equations is presented. Explicit difference scheme and the method of characteristics are adopted for treating diffusion and advective operators respectively. Conditions for stability of the algorithm are also analyzed. Satisfactory agreements between numerical results of two examples using the present numerical procedure and the corresponding analytical or numerical solutions obtained by previous investigators are achieved, which manifests the potential efficacy of the splitting algorithm applied to simulations of viscous fluid flow and other advective diffusion process.

关 键 词：对流 扩散 算子分裂法 稳定性 

分 类 号：O357[理学—流体力学]