Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/2146
Title: Two-level finite element method with a stabilizing subgrid for the incompressible Navier-Stokes equations
Authors: Neslitürk, Ali İhsan
Aydın, Selçuk Han
Tezer, Münevver
Keywords: Navier-Stokes equations
Stabilizing subgrid
Two-level finite element method
Issue Date: 20-Oct-2008
Publisher: John Wiley and Sons Inc.
Source: Neslitürk, A. İ., Aydın, S. H., and Tezer, M. (2008). Two-level finite element method with a stabilizing subgrid for the incompressible Navier-Stokes equations. International Journal for Numerical Methods in Fluids, 58(5), 551-572. doi: 10.1002/fld.1753
Abstract: We consider the Galerkin finite element method for the incompressible Navier-Stokes equations in two dimensions. The domain is discretized into a set of regular triangular elements and the finite-dimensional spaces employed consist of piecewise continuous linear interpolants enriched with the residual-free bubble functions. To find the bubble part of the solution, a two-level finite element method with a stabilizing subgrid of a single node is described, and its application to the Navier-Stokes equation is displayed. Numerical approximations employing the proposed algorithm are presented for three benchmark problems. The results show that the proper choice of the subgrid node is crucial in obtaining stable and accurate numerical approximations consistent with the physical configuration of the problem at a cheap computational cost. Copyright © 2008 John Wiley & Sons, Ltd.
URI: http://doi.org/10.1002/fld.1753
http://hdl.handle.net/11147/2146
ISSN: 0271-2091
0271-2091
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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