The mortar edge element method on non matching grids for eddy current calculations in moving structures

The mortar edge element method on non-matching grids for eddy current calculations in moving structures F. Rapetti y Abstract The subject presented in this paper concerns the approximation of the eddy current problem in non-stationary geometries with sliding interfaces. The physical system is supposed to be composed of two solid parts: a xed one (stator) and a moving one (rotor) which slides in contact with the stator. We consider a two dimensional mathematical model based on the transverse electric formulation of the eddy currents problem in the time domain and the primary unknown is the electric eld vector. The rst order approximation of the problem that we propose here is based on the mortar element method combined with the edge element discretization in space and an implicit Euler scheme in time. Numerical results illustrate the accuracy of the method and allow to understand the in uence of the rotor movement on the currents distribution. Key words. domain decomposition method, eddy current problem, edge element approximation, electric eld as primary variable, moving structures, non-matching grids 1 Introduction The computation of the space and time distribution of induced currents in electromagnetic systems is of great importance for performance predictions and devices design. One important aspect to take into account is the presence of moving structures. The subject of our research activity is the development of simulation tools to eectively predict the induced current distribution in non-stationary geometries with sliding interfaces.

• sliding-mesh mortar


• dimensional congurations


• rotor domain


• rotor


• electric eld


• mesh elements


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