1992 Volume 5 Issue 10 Pages 418-426
As well known, computational fluid dynamics consists of two main parts, i. e. (1) generation of computational grid, and (2) numerical scheme to slove the conservation law. In this report, new methods for adaptive grid generation through the optimal regulator of digital control are presented. The performance index of linear optimal regulator problem has a strong relation to the characteristics of adaptive grid generation. Paying attention to this point, one and two dimensional Poisson equations are transformed into the state-space form. The numerical examples of NACA-0012 airfoil flow field show strong clustering of grid lines at shock waves through these two kinds of adaptation.