Higher order ADI method with completed Richardson extrapolation for solving unsteady convection-diffusion equations

被引：12

作者：

Dai, Ruxin ^{[1
]}

Zhang, Jun ^{[2
]}

Wang, Yin ^{[3
]}

机构：

[1] Univ Wisconsin, Dept Comp Sci & Informat Syst, River Falls, WI 54022 USA

[2] Univ Kentucky, Dept Comp Sci, Lab High Performance Sci Comp & Comp Simulat, Lexington, KY 40506 USA

[3] Lawrence Technol Univ, Dept Math & Comp Sci, Southfield, MI 48075 USA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2016年 / 71卷 / 01期

关键词：

Unsteady convection-diffusion equation; Richardson extrapolation; ADI method; Higher order compact scheme; Stability analysis; COMPACT SCHEMES;

D O I：

10.1016/j.camwa.2015.12.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A higher order alternating direction implicit (ADI) method with completed Richardson extrapolation is proposed for solving unsteady two dimensional convection-diffusion equations. The method has sixth-order accuracy in space and fourth-order accuracy in time. Completed Richardson extrapolation is used to improve the accuracy of the solution obtained from the high-order ADI method in spatial and temporal domains simultaneously. Stability analysis is given to show the influence of Richardson extrapolation on the unconditionally stable ADI method. Numerical experiments are conducted to test its high accuracy and to compare it with Karaa-Zhang's high-order ADI method. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：431 / 442

页数：12

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