A PERTURBATIONAL H4 EXPONENTIAL FINITE-DIFFERENCE SCHEME FOR THE CONVECTIVE DIFFUSION EQUATION

被引：37

作者：

CHEN, GQ ^{[1
]}

GAO, Z ^{[1
]}

YANG, ZF ^{[1
]}

机构：

[1] BEIJING UNIV,DEPT MECH,BEIJING 100871,PEOPLES R CHINA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 1993年 / 104卷 / 01期

关键词：

D O I：

10.1006/jcph.1993.1015

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A perturbational h4 compact exponential finite difference scheme with diagonally dominant coefficient matrix and upwind effect is developed for the convective diffusion equation. Perturbations of second order are exerted on the convective coefficients and source term of an h2 exponential finite difference scheme proposed in this paper based on a transformation to eliminate the upwind effect of the convective diffusion equation. Four numerical examples including one- to three-dimensional model equations of fluid flow and a problem of natural convective heat transfer are given to illustrate the excellent behavior of the present exponential schemes, the h4 accuracy of the perturbational scheme is verified using double precision arithmetic. © 1993 Academic Press. All rights reserved.

引用

页码：129 / 139

页数：11

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