Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/1983
Title: The finite element method for MHD flow at high Hartmann numbers
Authors: Neslitürk, Ali İhsan
Tezer, Münevver
Keywords: Finite element method
Functions
Linear equations
MHD flow
Number theory
Stabilized FEM
Issue Date: Mar-2005
Publisher: Elsevier Ltd.
Source: Neslitürk, A.İ., and Tezer, M. (2005). The finite element method for MHD flow at high Hartmann numbers. Computer Methods in Applied Mechanics and Engineering, 194(9-11), 1201-1224. doi:10.1016/j.cma.2004.06.035
Abstract: A stabilized finite element method using the residual-free bubble functions (RFB) is proposed for solving the governing equations of steady magnetohydrodynamic duct flow. A distinguished feature of the RFB method is the resolving capability of high gradients near the layer regions without refining mesh. We show that the RFB method is stable by proving that the numerical method is coercive even not only at low values but also at moderate and high values of the Hartmann number. Numerical results confirming theoretical findings are presented for several configurations of interest. The approximate solution obtained by the RFB method is also compared with the analytical solution of Shercliff's problem.
URI: https://doi.org/10.1016/j.cma.2004.06.035
http://hdl.handle.net/11147/1983
ISSN: 0045-7825
0045-7825
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

Files in This Item:
File Description SizeFormat 
1983.pdfMakale2.23 MBAdobe PDFThumbnail
View/Open
Show full item record

CORE Recommender

SCOPUSTM   
Citations

49
checked on Dec 4, 2021

WEB OF SCIENCETM
Citations

51
checked on Dec 4, 2021

Page view(s)

38
checked on Dec 8, 2021

Download(s)

82
checked on Dec 8, 2021

Google ScholarTM

Check

Altmetric


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.