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[3492] Artykuł: Finite element approximation of biharmonic mathematical model for MHD flow using Ψ-an approachCzasopismo: IEEE Transactions on Magnetics Tom: 36, Zeszyt: 4, Strony: 1313-1318ISSN: 0018-9464 Wydawca: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 345 E 47TH ST, NEW YORK, NY 10017-2394 USA Opublikowano: Lipiec 2000 Autorzy / Redaktorzy / Twórcy
Grupa MNiSW: Materiały z konferencji międzynarodowej (zarejestrowane w Web of Science) Punkty MNiSW: 0 Klasyfikacja Web of Science: Article; Proceedings Paper Pełny tekst DOI Web of Science Keywords: Galerkin method  Newton-Raphson method  finite element analysis  magnetohydrodynamics  variational techniques  viscosity  |
A generalized mathematical model describing the dynamics of magnetic field influence on a conducting liquid in a square cavity is presented. A method involving 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 (H α) numbers were presented in graphical form