A Fast Converging Method Using Wobbling Adaptive Control of SOR Relaxation Factor for 2D Benard Convection.
Sei-ichi IIDA, Kakuji OGAWARA, Satoshi Furusawa, Naruo Ohata · TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B · 1994
An adaptive fuzzy reasoning strategy was studied to obtain fast convergence for a 2D incompressible Navier-Stokes solver. In this study, this reasoning was applied to control of the relaxation factor when the Poisson equation was solved by the point SOR method. Normalized residual and relaxation factors themselves were used for input parameters to the control map or lookup table. Several maps optimized for different flow conditions were prepared, and selected almost randomly. This map-selecting strategy made it possible for the flow solver to carry out fast and stable calculation. Two-dimensional thermal convection was used to examine the effectiveness of this scheme, and the solutions obtained with and without adaptive control were nearly equal.