Journal of Theoretical
and Applied Mechanics

35, 2, pp. 421-446, Warsaw 1997

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

Waldemar Rachowicz
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.
Keywords: Navier-Stokes equations; adaptive finite element method; a posteriori error estimates