DocumentCode
2414405
Title
A High-Order Compact ADI Scheme for the 3D Unsteady Convection-Diffusion Equation
Author
Cao, Fujun ; Ge, Yongbin
fYear
2011
fDate
21-23 Oct. 2011
Firstpage
1087
Lastpage
1090
Abstract
In this paper, we developed a high-order compact ADI scheme for solving the three-dimensional (3D) unsteady convection-diffusion equation. By using fourth-order compact schemes for spatial derivatives and the Crank-Nicolson method for temporal derivative, the present ADI scheme is fourth-order accurate in space and second-order accurate in time. The solution procedure consists of a number of tridiagonal matrix operations, which makes the computation cost effective. The unconditionally stability of the method is verified by means of the discrete Fourier analysis. Two typical numerical experiments are given to demonstrate the high accuracy of the present method and to compare it with the classical Douglas ADI scheme and the Karaa´s fourth-order ADI scheme.
Keywords
Accuracy; Approximation methods; Equations; Mathematical model; Numerical stability; Stability analysis; Three dimensional displays; 3D unsteady convection-diffusion equation; ADI method; High order compact scheme; Stability;
fLanguage
English
Publisher
ieee
Conference_Titel
Computational and Information Sciences (ICCIS), 2011 International Conference on
Conference_Location
Chengdu, China
Print_ISBN
978-1-4577-1540-2
Type
conf
DOI
10.1109/ICCIS.2011.35
Filename
6086394
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