PARABOLIC APPROXIMATIONS OF THE CONVECTION-DIFFUSION EQUATION

被引：7

作者：

LOHEAC, JP

NATAF, F

SCHATZMAN, M

机构：

[1] ECOLE POLYTECH,CTR MATH APPL,F-91128 PALAISEAU,FRANCE

[2] UNIV LYON 1,ANAL NUMER LAB,F-69622 VILLEURBANNE,FRANCE

来源：

MATHEMATICS OF COMPUTATION | 1993年 / 60卷 / 202期

关键词：

CONVECTION-DIFFUSION EQUATION;

D O I：

10.2307/2153100

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose an approximation of the convection-diffusion operator which consists in the product of two parabolic operators. This approximation is much easier to solve than the full convection-diffusion equation, which is elliptic in space. We prove that this approximation is of order three in the viscosity and that the classical parabolic approximation is of order one in the viscosity. Numerical examples are given to demonstrate the effectiveness of our new approximation.

引用

页码：515 / 530

页数：16

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