A New Numerical Method for Incompressible MHD Flow Considering the Interaction between Electromagnetic and Velocity Fields

Abstract

In this study, we present a new numerical scheme for incompressible MHD flow. Finite edge-element method for electromagnetic field is coupled with improved GSMAC-FEM for velocity field weakly on this scheme. By using finite edge-element method, we can analyze the external region together with MHD flow region. Including the non-linear (advection) term of electromagnetic field, this scheme can deal with the interaction between electromagnetic and velocity fields. There are few bench mark problems, therefore, MHD lid-driven cavity flow is adopted for a bench mark problem, and calculated by this scheme. The result is evaluated, and the validity is confirmed from the view point of magnetohydrodynamics.