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.
|Journal series||IEEE Transactions on Magnetics, ISSN 0018-9464, e-ISSN 1941-0069|
|Publication size in sheets||0.5|
|Publication indicators||= 0; : 2000 = 1.073; : 2006 = 0.938 (2) - 2007=1.004 (5)|
|Citation count*||7 (2015-03-15)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.