Finite element approximation of biharmonic mathematical model for MHD flow using ψ-An approach

Stanislaw K. Krzemiriski , Michał Śmiałek , Maciej Włdarczyk


A generalized mathematical model describing the dynamics of magnetic Held influence on a conducting liquid in a square cavity is presented. A method of a biharmonic mathematical model with stream function ψ, and the magnetic potential A was used. The Galerkin method was applied to solve a system of two variational identities. A numerical finite element algorithm based on the second order elements was developed. In the algorithm the Newton-Raphson method is used to solve the resulting nonlinear system. Numerical experiments with different Reynolds (Re,Rm) and Hartmann (Ha) numbers were presented in graphical form. © 2000 IEEE.

Author Stanislaw K. Krzemiriski (WUT)
Stanislaw K. Krzemiriski,,
- Warsaw University of Technology
, Michał Śmiałek (FoEE / ITEEMIS)
Michał Śmiałek,,
- The Institute of the Theory of Electrical Engineering, Measurement and Information Systems
, Maciej Włdarczyk (WUT)
Maciej Włdarczyk,,
- Warsaw University of Technology
Journal seriesIEEE Transactions on Magnetics, ISSN 0018-9464, e-ISSN 1941-0069
Issue year2000
Publication size in sheets0.5
ASJC Classification2208 Electrical and Electronic Engineering; 2504 Electronic, Optical and Magnetic Materials
Languageen angielski
Score (nominal)25
Score sourcejournalList
Publication indicators Scopus Citations = 0; Scopus SNIP (Source Normalised Impact per Paper): 2000 = 1.073; WoS Impact Factor: 2006 = 0.938 (2) - 2007=1.004 (5)
Citation count*7 (2015-03-15)
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