Numerical analysis of the thermo electrically natural convection flows in the two dimensional square cavity using the vector finite element method

Abstract

It is well known that the vector finite element method is one of the powerful tools for solving electromagnetic problems. The vector shape functions which consist of the facet and the edge functions have a lot of characteristics. One of them is automatic conservation of magnetic flux density in analyzing the Induction equations without iterative correction. In this present paper the vector finite element method is applied to the problems of magnetohydrodynamics. The computational scheme is verified by analyzing the flow between parallel plates under a constant magnetic field. Two-dimensional natural convection in a cavity under a constant magnetic field is analyzed numerically. computational results are in good agreement with other numerical results.