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.
出处
《工程数学学报》
CSCD
北大核心
2002年第2期57-62,共6页
Chinese Journal of Engineering Mathematics
关键词
对流扩散方程
特征差分法
一致高精度非振荡插值
convection diffusion equations
the characteristic difference method
the uniformly high order accurate nonoscillatory interpolation
