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


Department of Civil Engineering,Iran University of Science and Technology


Abstract. The numerical solution of incompressible Navier-Stokes equations for
ows involving
complex geometries is greatly a ected 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 e ectiveness of the
adaptive re nement method for the ecient and accurate simulation of
ow problems.