Relaxation method for unsteady convection-diffusion equations

被引：6

作者：

Shen, Wensheng ^{[1
]}

Zhang, Changjiang ^{[2
]}

Zhang, Jun ^{[2
]}

机构：

[1] SUNY Coll Brockport, Dept Computat Sci, Brockport, NY 14420 USA

[2] Univ Kentucky, Dept Comp Sci, Lexington, KY 40506 USA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 61卷 / 04期

关键词：

Relaxation method; Convection-diffusion equation; WEND scheme; Implicit-explicit Runge-Kutta; Hyperbolic conservation laws; HYPERBOLIC CONSERVATION-LAWS; ADI METHOD; SCHEMES;

D O I：

10.1016/j.camwa.2010.12.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose and implement a relaxation method for solving unsteady linear and nonlinear convection-diffusion equations with continuous or discontinuity-like initial conditions. The method transforms a convection-diffusion equation into a relaxation system, which contains a stiff source term. The resulting relaxation system is then solved by a third-order accurate implicit-explicit (IMEX) Runge-Kutta method in time and a fifth-order finite difference WENO scheme in space. Numerical results show that the method can be used to effectively solve convection-diffusion equations with both smooth structures and discontinuities. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：908 / 920

页数：13

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