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Accuracy of semiGLS stabilization of FEM for solving Navier–Stokes equations and a posteriori error estimates
Author(s) -
Burda P.,
Novotný J.,
Šístek J.
Publication year - 2008
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1736
Subject(s) - a priori and a posteriori , finite element method , benchmark (surveying) , galerkin method , mathematics , error analysis , incompressible flow , navier–stokes equations , flow (mathematics) , work (physics) , computational fluid dynamics , compressibility , mathematical optimization , calculus (dental) , geometry , mechanics , engineering , physics , mechanical engineering , medicine , philosophy , structural engineering , epistemology , geodesy , dentistry , geography
Stabilization of the finite element method for flow problems at high Reynolds numbers is the main subject of presented research. The semiGLS method is recalled as a modification of the Galerkin least‐squares method. The presented work extends our previous paper on this method by its other important aspects. The main aim of this paper is to analyse and comment on the accuracy of the method. A posteriori error estimates for incompressible Navier–Stokes equations are used as the main tool for error analysis and some conclusions concerning accuracy are derived. Several numerical experiments are presented for both benchmark and practical problems. Copyright © 2008 John Wiley & Sons, Ltd.