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Title: Two-level finite element method with a stabilizing subgrid for the incompressible MHD equations
Authors: Aydın, Selçuk Han
Neslitürk, Ali İhsan
Tezer Sezgin, Münevver
Keywords: Finite element method
MHD equations
Stabilizing subgrid
Two-level finite element method
Triangular elements
Issue Date: Jan-2010
Publisher: John Wiley and Sons Inc.
Source: Aydın, S. H., Neslitürk, A. İ., and Tezer Sezgin, M. (2010). Two-level finite element method with a stabilizing subgrid for the incompressible MHD equations. International Journal for Numerical Methods in Fluids, 62(2), 188-210. doi:10.1002/fld.2019
Abstract: We consider the Galerkin finite element method (FEM) for the incompressible magnetohydrodynamic (MHD) equations in two dimension. 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 FEM with a stabilizing subgrid of a single node is described and its application to the MHD equations is displayed. Numerical approximations employing the proposed algorithm are presented for three benchmark problems including the MHD cavity flow and the MHD flow over a step. The results show that the proper choice of the subgrid node is crucial to get stable and accurate numerical approximations consistent with the physical configuration of the problem at a cheap computational cost. Furthermore, the approximate solutions obtained show the well-known characteristics of the MHD flow. Copyright © 2009 John Wiley & Sons, Ltd.
ISSN: 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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