×

The mortar edge element model on non-matching grids for eddy current calculations in moving structures. (English) Zbl 0994.78013

Summary: 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 fixed 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 field vector. The first-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 influence of the rotor movement on the currents distribution.

MSC:

78M10 Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] A sliding mesh-mortar method for a two-dimensional eddy currents model of electric engines. Technical Report R99002, Laboratoire d’Analyse Numérique (Paris VI University) 1999. To appear in M2AN. · Zbl 0986.35111
[2] Rapetti, COMPEL 19 pp 10– (2000)
[3] Emson, IEEE Transactions on Magnetics 34 pp 2593– (1998)
[4] Razek, IEEE Transactions on Magnetics 18 pp 655– (1982)
[5] Nicolet, Journal de Physique III 2 pp 2035– (1992)
[6] Davat, IEEE Transactions on Magnetics 21 pp 2296– (1985)
[7] Marechal, IEEE Transactions on Magnetics 28 pp 1728– (1992)
[8] Golovanov, IEEE Transactions on Magnetics 34 pp 3359– (1998)
[9] Rodger, IEEE Transactions on Magnetics 26 pp 548– (1990)
[10] Tsukerman, IEEE Transactions on Magnetics 28 pp 2247– (1992)
[11] A new nonconforming approach to domain decomposition: the mortar elements method. In Nonlinear Partial Differential Equations and Their Applications, (eds). Pitman: London, 1994; 13-51. · Zbl 0797.65094
[12] Mortaring the two-dimensional ?Nédélec? finite elements for the discretization of the Maxwell equations. Technical Report R99031, Laboratoire d’Analyse Numérique (Paris VI University) 1999.
[13] The mortar element method for 3D Maxwell equations: first results. Technical Report R99023, Laboratoire d’Analyse Numérique (Paris VI University) 2000. SIAM Journal on Numerical Analysis, to appear.
[14] Electromagnetisme en vue de la Modelisation. Springer: France, 1986.
[15] Bossavit, Revue de Physique Appliquee 25 pp 189– (1990)
[16] The Finite Element Method for Elliptic Problems. North-Holland: Amsterdam, 1978.
[17] Nédélec, Numerische Mathematik 35 pp 315– (1980) · Zbl 0419.65069
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.