摘要
本文把 J.Douglas 提出的调整对流的修正特征差分法 (MMOCAA, Numer. Math., 1999,83:353- 369 ) 和加权本质非振荡 WENO 插值相结合,提出了求解对流扩散方程的 WENO - MMO- CAA 差分方法。此方法避免了原来基于高次 (≥ 2) Lagrange 插值的 MMOCAA 差分方法在解 的大梯度附近所产生的震荡。本文给出了格式的误差估计及数值例子。
Combing the modified method of characteristics with adjusted advection (MMOCAA difference method proposed by Jim Douglas. Jr, Numer. Math., 1999,83:353-369) with the weighted essentially noil - oscillatory interpolation (WENO), the WENO - MMOCAA difference method is proposed for nonlinear covection - diffusion equation in the paper. The new method is free from oscillation, with which the problem is solved by the MMOCAA difference method based on high - order (≥2) Lagrange interplation. The error estimates of the new scheme are obtained and numerical example shows that the new method indeed erases the oscillation.
出处
《工程数学学报》
CSCD
北大核心
2004年第6期931-935,共5页
Chinese Journal of Engineering Mathematics
基金
刘徽应用数学中心资助.
