A new finite volume method for the solution of convection-diffusion equations: Analysis of stability and convergence

被引：0

作者：

Cordero, E

De Biase, L

Pennati, V

机构：

[1] Univ Milan, Dept Environm Sci, I-20126 Milan, Italy

[2] ENEL, CRIS, I-20162 Milan, Italy

来源：

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 1997年 / 13卷 / 12期

关键词：

finite volume; convection; diffusion; convergence;

D O I：

10.1002/(SICI)1099-0887(199712)13:12<923::AID-CNM122>3.3.CO;2-6

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A new high order FV method is presented for the solution of convection-diffusion equations, based on a 4-point approximation of the diffusive term and on the definition of a quadratic profile for the approximation of the convective term, in which coefficients are obtained by imposing conditions on the truncation error, The method works on unequal volumes (ratios of consecutive volume sizes in the interval [1/3,3]). The properties of this method are analysed formally. Numerical examples are given. (C) 1997 John Wiley & Sons, Ltd.

引用

页码：923 / 940

页数：18

共 17 条

[1] A FINITE-VOLUME HIGH-ORDER ENO SCHEME FOR 2-DIMENSIONAL HYPERBOLIC SYSTEMS [J].