A Comparison of Three Adaptive Finite Element Re nement Techniques for Incompressible Navier-Stokes Equations Using a CBS Scheme.

The numerical solution of incompressible navier-stokes equations for flows involving complex geometries is greatly affected by mesh resolution. in these ows, some regions may need finer mesh than others. adaptive mesh refinement (amr) techniques enable the mesh to be locally refined, based on error distribution in the previous analysis. in this paper, three adaptive refinement methods, namely, superconvergent patch recovery (spr) based re nement, gradient based refinement and curvature (2nd derivative) based refinement are used in conjunction with the characteristic based split finite element method to solve a benchmark problem of a lid-driven cavity. the results of the proposed adaptive refinement methods are presented and their efficiencies are compared. the results show the effectiveness of the adaptive refinement method for the efficient and accurate simulation of flow problems.