Analysis and Application of High Resolution Numerical Perturbation Algorithm for Convective-Diffusion Equation  

作　　者：GAO Zhi SHEN Yi-Qing 高智;申义庆(LHD,Institute of Mechanics,Chinese Academy of Sciences,Beijing 100190)

机构地区：[1]LHD,Institute of Mechanics,Chinese Academy of Sciences,Beijing 100190

出　　处：《Chinese Physics Letters》2012年第10期111-115,共5页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos 11272324,11272325.

摘　　要：The high resolution numerical perturbation(NP)algorithm is analyzed and tested using various convective-diffusion equations.The NP algorithm is constructed by splitting the second order central difference schemes of both convective and diffusion terms of the convective-diffusion equation into upstream and downstream parts,then the perturbation reconstruction functions of the convective coefficient are determined using the power-series of grid interval and eliminating the truncated errors of the modified differential equation.The important nature,i.e.the upwind dominance nature,which is the basis to ensuring that the NP schemes are stable and essentially oscillation free,is firstly presented and verified.Various numerical cases show that the NP schemes are efficient,robust,and more accurate than the original second order central scheme.

关 键 词：EQUATION PERTURBATION DIFFUSION 

分 类 号：O17[理学—数学]