Sharif University of Technology Scientia Iranica 1026-3098 16 4 2009 07 01 A Comparison of Three Adaptive Finite Element Renement Techniques for Incompressible Navier-Stokes Equations Using a CBS Scheme 3117 EN M.H. Afshar Department of Civil Engineering,Iran University of Science and Technology A. Rahmani Firoozjaee Department of Civil Engineering,Iran University of Science and Technology Journal Article 2009 09 21 Abstract. The numerical solution of incompressible Navier-Stokes equations for ows involving complex geometries is greatly aected by mesh resolution. In these ows, some regions may need ner mesh than others. Adaptive Mesh Renement (AMR) techniques enable the mesh to be locally rened, based on error distribution in the previous analysis. In this paper, three adaptive renement methods, namely, Superconvergent Patch Recovery (SPR) based renement, gradient based renement and curvature (2nd derivative) based renement are used in conjunction with the characteristic based split nite element method to solve a benchmark problem of a lid-driven cavity. The results of the proposed adaptive renement methods are presented and their eciencies are compared. The results show the eectiveness of the adaptive renement method for the ecient and accurate simulation of ow problems. https://scientiairanica.sharif.edu/article_3117_8b313cbf30999888de32da1ec83ff503.pdf