Efficient use of the local discontinuous galerkin method for meshes sliding on a circular boundary

In this paper, the coupling of discontinuous finite elements (FEs) with standard conforming ones is applied to the special case of rotating electrical machines. The proposed scheme exploits the capability of discontinuous methods of dealing with non-matching grids, and the lower computational cost of conforming methods, by using first ones only where needed. Therefore, the technique is ideally suited for the treatment of the air-gap region of such devices where the rotation of one part of the mesh generates hanging nodes. The resulting purely finite flement scheme is applied to the TEAM 24 benchmark problem. Index Terms--Discontinuous finite elements, electrical machines, variational methods.