Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9667129 | Computer Methods in Applied Mechanics and Engineering | 2005 | 24 Pages |
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.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
A.I. Nesliturk, M. Tezer-Sezgin,