Discontinuous finite element methods for the simulation of rotating electrical machines

The capability of discontinuous finite element methods of handling non-matching grids is exploited in the simulation of rotating electrical machines. During time stepping, the relative movement of two meshes, consistent with two different regions of the electrical device (rotor and stator), results in the generation of so-called hanging nodes on the slip surface. A discretisation of the problem in the air-gap region between rotor and stator, which relies entirely on finite element methods, is presented here. A discontinuous Galerkin method is applied in a small region containing the slip surface, and a conforming method is used in the remaining part

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 element scheme is applied to the TEAM 24 benchmark proble

An a priori error analysis of the Local Discontinuous Galerkin method for elliptic problems

Published in May 2000Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7, Rome / CNR - Consiglio Nazionale delle RichercheSIGLEITItal