Finite element approximation of biharmonic mathematical model for MHD flow using Psi;-an approach
S.K. Krzeminski , Michał Śmiałek , M. Włodarczyk
AbstractA 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 Psi;, 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 alpha;) numbers were presented in graphical form
|Journal series||IEEE Transactions on Magnetics, ISSN 0018-9464|
|Publication size in sheets||0.5|
|Keywords in English||biharmonic mathematical model, conducting liquid, finite element analysis, finite element approximation, Galerkin method, Hartmann numbers, magnetic potential, magnetohydrodynamics, MHD flow, Newton-Raphson method, nonlinear system, Reynolds numbers, second order elements, square cavity, stream function, variational identities, variational techniques, viscosity|
|Publication indicators||= 6; = 2; : 2000 = 1.073; : 2006 = 0.938 (2) - 2007=1.004 (5)|
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