Stabilized FEM Solution of Magnetohydrodynamic Flow in Different Geometries

Abstract

In this study, the stable numerical solution of the magnetohydrodynamic (MHD) flow in different geometries is presented using the stabilized finite element method (FEM). Numerical solution of coupled convection-diffusion type MHD equations have been acquired for the different Hartmann numbers (M_i) and different angles of the MHD flows. The resultant matrix-vector system has been solved as a whole with the reciprocal MHD flow and boundary conditions. We have observed from the solution of reciprocal MHD flow when the Hartmann number increases the velocity and the induced magnetic field of the flows decrease. We have been acquired the stable numerical solution for the M_i=〖10〗^2 Hartmann number. The obtained stable numerical results are displayed by graphics.