An upwind Galerkin finite element analysis of linear induction motors

An upwind Galerkin finite-element method (GFEM) for electromagnetic problems in moving media is proposed. In the conventional GFEM, when the cell Peclet number becomes greater than the critical value of 2, many undesirable flux loops due to oscillatory solutions appear in the flux plots. It is shown that the upwind GFEM can stabilize such oscillations successfully. Although the extra-fine subdivision of elements makes it possible to suppress such oscillations without upwinding, the 13 mm length of a mesh in the present model must be subdivided into 2.43 μm in order that the Peclet number in the back iron shall not exceed the critical value of 2 or there will be a need for enormous computation time and memories. For this reason, the present GFEM is the most promising numerical method for convective diffusion equation solvers with larger cell Peclet number