求解对流扩散方程的高阶ICT-MMOCAA差分方法

The High-order ICT-MMOCAA Difference Method for the Convection Diffusion Equation

本文利用文 [1 ,2 ]中的FCT思想 ,对于对流扩散问题 ,提出了通过插值校正传输(ICT)的高阶ICT MMOCAA差分格式 ,此格式避免了 [3]中基于高次 (≥ 2 )Lagrange插值的MMOCAA差分格式在解的大梯度附近产生的振荡 .本文给出了格式的误差估计及数值例子 .

Using the ideas of FCT \ , the high-order ICT-MMOCAA difference method, in which the transport is corrected by interpolation, is established for convection diffusion problem in the paper. The scheme is free from oscillation near large gradient solution, with which the problem is solved by the MMOCAA difference method based on high-order(≥2) Lagrange interpolation \ . The error estimate of the scheme and numerical example are given in the paper.