An h-adaptive finite element method for Navier-Stokes equations

Application of an h-adaptive finite element method to incompressible Navier-Stokes equations in two dimensions is presented. Projection methods (pressure correction methods) due to A. Chorin are used to discretize the problem in time. Triangular elements of the order p=1 and p=2 are used in spatial discretization. The method of 1-irregular meshes and the Rivara technique are used to generate adaptive meshes. A mesh-refinement strategy is based on residual error indicators due to Oden, Wu and Ainsworth.