Use of an adaptive grid procedure for parabolic flow problems (Q1058373)

An adaptive grid procedure is devised for the calculation of two- dimensional parabolic flows. The procedure redistributes the nodal points at each streamwise location of the flow so as to provide a finer mesh spacing in regions of rapid profile variation. Guidance is taken from the behavior of each dependent variable in deciding the final distribution of nodal points. Thus, critical regions in the flow field are always accurately resolved. It is shown that conventional differencing schemes do not perform satisfactorily on skewed grids, which are inherently associated with the adaptation procedure. A more suitable differencing scheme, which gives stable and accurate results, is developed. By means of various test problems, the improvement in results obtained by the adaptive grid procedure is demonstrated.