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
收藏
页码：908 / 920
页数：13
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