A defect-correction method for the incompressible Navier-Stokes equations

Abstract

A defect-correction method for the incompressible Navier–Stokes equation with a high Reynolds number is considered. In the defect step, the artificial viscosity parameter r is added to the Reynolds number as a stability factor, and the residual is taken care of in the correction step. H 1 and L error estimations are derived for the one-step defectcorrection method, and the results of some numerical experiments are presented. These results show that, for the driven cavity, two defect-correction steps antidiffuse the artificial viscosity approximation nearly optimally. This combination gives on a very coarse mesh, results indistinguishable from a benchmark, very fine mesh calculation. 2002 Elsevier Science Inc. All rights reserved.

DOI: 10.1016/S0096-3003(01)00026-1

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Cite this paper

@article{Layton2002ADM, title={A defect-correction method for the incompressible Navier-Stokes equations}, author={William J. Layton and H. K. Lee and J. Peterson}, journal={Applied Mathematics and Computation}, year={2002}, volume={129}, pages={1-19} }