Finite element method in applications of magnetohydrodynamics

The magnetically induced flow was examined numerically using a computational code based on the finite element method with the streamline-upwind/pressure-stabilized Petrov-Galerkin approach. The mathematical model considers an incompressible unsteady flow with a low frequency and low induction magnetic field. The validation of the magnetic force calculation was carried out on a cylindrical cavity, where the time-dependent electric potential and current density distribution can be derived analytically. The flow under the rotating magnetic field was simulated for the axisymmetric cylindrical and non-axisymmetric square cavity. The effect of the different geometries on the distribution of the time-averaged magnetic force and magnetically driven rotating flow was discussed.