Unconditionally Monotone Schemes for Unsteady Convection-Diffusion Problems

被引：7

作者：

Afanas'eva, Nadyezhda M. ^{[1
]}

Churbanov, Alexander G. ^{[2
]}

Vabishchevich, Petr N. ^{[2
]}

机构：

[1] North Eastern Fed Univ, Yakutsk 677000, Russia

[2] Russian Acad Sci, Nucl Safety Inst, Moscow 115191, Russia

来源：

COMPUTATIONAL METHODS IN APPLIED MATHEMATICS | 2013年 / 13卷 / 02期

关键词：

Convection-Diffusion Problems; Finite Difference Schemes; Logarithmic Norm; Monotone Schemes; Splitting Schemes; IMPLICIT EXPLICIT METHODS;

D O I：

10.1515/cmam-2013-0002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with constructing monotone schemes of the second-order accuracy in space for transient convection-diffusion problems. They are based on a reformulation of the convective and diffusive transport terms using the convective terms in the divergent and nondivergent forms. The stability of the difference schemes is established in the uniform and L-1 norm. For 2D problems, unconditionally monotone schemes of splitting with respect to spatial variables are developed. Unconditionally stable schemes for problems of convection-diffusion-reaction are proposed, too.

引用

页码：185 / 205

页数：21

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