An adaptive grid method for Navier-Stokes flow computation. II - Grid addition

A further investigation has been conducted for a previously proposed multiple one-dimensional adaptive grid method for Navier-Stokes flow calculations. The method is based on the equidistribution concept and designed by utilizing the different characteristics of the velocity and pressure fields. It is demonstrated that one major advantage of this method is its flexibility in adding the nodal points along any coordinates if desirable. As the adaptive readjustment of grid distribution proceeds from the initial grid system, it is shown that not only the overall error is reduced but the error distribution is more uniform. This finding is consistent with the one-dimensional analysis by Babuska and Rheinboldt. Furthermore, for the flow problem tested, the resulting adaptive grid system yielded by the present method is close to optimum after two to three stages of adaptation.