求解对流扩散方程的一致高精度非振荡特征差分方法  

The Uniformly High-order Accurate Nonoscillatory Characteristic Difference Method for Convection Diffusion Equations

作　　者：由同顺[1] 

机构地区：[1]南开大学数学学院,天津300071

出　　处：《工程数学学报》2002年第2期57-62,共6页Chinese Journal of Engineering Mathematics

摘　　要：把特征差分法和一致高精度非振荡插值相结合 ,提出了求解对流占优扩散问题的一致高精度非振荡特征差分格式 ,避免了标准的特征差分格式在陡峭前缘附近产生的伪振荡。给出了非线性差分格式的误差估计及数值算例。Through blending the characteristic difference method with the uniformly high order accurate nonoscillatory interpolation , the uniformly high order accurate nonoscillatory characteristic difference method for convection diffusion equations is proposed. The scheme is free from oscillation of standand characteristic difference method at the sharp front. The error estimates of nonlinear difference scheme and the numerical computations are given.

关 键 词：对流扩散方程 特征差分法 一致高精度非振荡插值 

分 类 号：O241.82[理学—计算数学]