Open Access

ARTICLE

Discrete Constitutive Equations over Hexahedral Grids for Eddy-current Problems

L. Codecasa¹, R. Specogna², F. Trevisan³

1 Dipartimento di Elettronica e Informazione, Politecnicodi Milano, Piazza Leonardo da Vinci, 32, 20133 Milano, Italy, codecasa@elet.polimi.it.
2 Dep. of Ingegneria Elettrica, Gestionale e Meccanica, Università di Udine, Via delle Scienze 208, 33100 Udine, Italy, ruben.specogna@uniud.it.
3 Dep. of Ingegneria Elettrica, Gestionale e Meccanica, Università di Udine, Via delle Scienze 208, 33100 Udine, Italy, trevisan@uniud.it.

Computer Modeling in Engineering & Sciences 2008, 31(3), 129-144. https://doi.org/10.3970/cmes.2008.031.129

Abstract

In the paper we introduce a methodology to construct discrete constitutive matrices relating magnetic fluxes with magneto motive forces (reluctance matrix) and electro motive forces with currents (conductance matrix) needed for discretizing eddy current problems over hexahedral primal grids by means of the Finite Integration Technique (FIT) and the Cell Method (CM). We prove that, unlike the mass matrices of Finite Elements, the proposed matrices ensure both the stability and the consistency of the discrete equations introduced in FIT and CM.

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Keywords

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