Accuracy of semiGLS stabilization of FEM for solving Navier-Stokes equations and a posteriori error estimates

• Published in: International journal for numerical methods in fluids Vol. 56; no. 8; pp. 1167 - 1173
• Main Authors: Burda, P., Novotný, J., Šístek, J.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 20.03.2008; Wiley
• Subjects: a posteriori estimates; accuracy; Computational methods in fluid dynamics; Exact sciences and technology; FEM; Fluid dynamics; Fundamental areas of phenomenology (including applications); High-reynolds-number turbulence; incompressible flow; Physics; semiGLS; stabilization; Turbulent flows, convection, and heat transfer; Error estimation; Computational fluid dynamics; incompressible flow; stabilization; Digital simulation; accuracy; Two dimensional flow; FEM; Finite element method; Large Reynolds number; semiGLS; A posteriori estimation; Modelling; a posteriori estimates; Incompressible fluid; Least square fit; Viscous fluids; Numerical stability; Navier-Stokes equations
• ISSN: 0271-2091; 1097-0363
• DOI: 10.1002/fld.1736

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.