홈 editorial content online
Volume 14 (2012)
No 1
Volume 13 (2011)
No 1
Volume 12 (2010)
No 1
Volume 11 (2009)
No 1, No 2
Volume 10 (2008)
No 1, No 2
Volume 9 (2006)
No 1, No 2
Volume 8 (2005)
No 1, No 2
Volume 7 (2004)
No 1, No 2
Volume 6 (2003)
No 1, No 2
Volume 5 (2002)
No 1, No 2
Volume 4 (2001)
No 1, No 2
Volume 3 (2000)
No 1
Volume 2 (1999)
No 1
Volume 1 (1998)
No 1

(1999 / vol.2 / no.1)
A Study of Iterative Methods with Alternating Direction Preprocessing on the Simulation of Backward-facing Step Flows
Kang, C. Jea, Daniel Lee, Mulder Yu
Pages. 45-52     



We study the effectiveness of applying various iterative methods
in the numerical simulation of backward-facing step flows. Alternating Direction
Implicit method was investigated in Chao and Chou [1] for solving
the associated linear system. However, it is felt that the ADI method needs
large amount of computer time. In this paper we proposed the ideal of using
alternating direction approach for certain iterations and then switched to
preconditioned iterative methods. It is called as alternating direction preprocessing
here.
Comparisons were made among various accelerated methods and preconditioners.
Observations on some characteristics of these methods and preconditioners
were obtained. These are found to be more efficient, with better potential for
solving similar application problems. Moreover, a parallel processing of the
ADI method is also implements using PVM on IBM ${
m SP}^2$ environment.



1. Introduction
2. Problem formulation and solution procedures
3. The alternating direction approach
4. The numerical experiments and results
5. Discussion and conclusions1
6. The implementation of parallel processing
7. Acknowledgement



Alternating direction preprocessing, Iterative methods, Preconditioners



65F10, 65N22