Stabilized FEM solution of MHD flow over array of cubic domains

Abstract

In this study, 3D magnetohydrodynamic (MHD) equations are considered in array of cubic domains having insulated external boundaries separated by conducting thin walls. In order to obtain stable solutions, stabilized version of the Galerkin finite element method is used as a numerical scheme. Different problem parameters and configurations are tested in order to visualize the accuracy and efficiency of the proposed algorithm. Obtained solutions are visualized as contour lines of 2D slices taken from the obtained 3D domain solutions.