Convergence acceleration by varying time-step size using Bi-CGSTAB method for turbulent flow computation

Citation
Wb. Tsai et al., Convergence acceleration by varying time-step size using Bi-CGSTAB method for turbulent flow computation, NUMER M P D, 17(5), 2001, pp. 454-474
Citations number
27
Categorie Soggetti
Engineering Mathematics
Journal title
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
ISSN journal
0749159X → ACNP
Volume
17
Issue
5
Year of publication
2001
Pages
454 - 474
Database
ISI
SICI code
0749-159X(200109)17:5<454:CABVTS>2.0.ZU;2-N
Abstract
A design of varying step size approach both in time span and spatial coordi nate systems to achieve fast convergence is demonstrated in this study. Thi s method is based on the concept of minimization of residuals by the Bi-CGS TAB algorithm, so that the convergence can be enforced by varying the time- step size. The numerical results show that the time-step size determined by the proposed method improves the convergence rate for turbulent computatio ns using advanced turbulence models in low Reynolds-number form, and the de gree of improvement increases with the degree of the complexity of the turb ulence models. (C) 2001 John Wiley & Sons, Inc.