Article (Scientific journals)
Multiscale finite element modeling of nonlinear magnetoquasistatic problems using magnetic induction conforming formulations
Niyonzima, Innocent; Sabariego, Ruth Vazquez; Dular, Patrick et al.
2018In Multiscale Modeling and Simulation, 16 (1), p. 300-326
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Keywords :
Asymptotic expansion; Composite materials; Computational homogenization; Convergence theory; Eddy currents; Finite element method; Magnetic hysteresis; Magnetoquasistatic problems; Multiscale modeling; Computation theory; Homogenization method; Magnetism; Maxwell equations; Mesh generation; Multi-scale Modeling
Abstract :
[en] In this paper we develop magnetic induction conforming multiscale formulations for magnetoquasistatic problems involving periodic materials. The formulations are derived using the periodic homogenization theory and applied within a heterogeneous multiscale approach. Therefore the fine-scale problem is replaced by a macroscale problem defined on a coarse mesh that covers the entire domain and many mesoscale problems defined on finely-meshed small areas around some points of interest of the macroscale mesh (e.g., numerical quadrature points). The exchange of information between these macro and meso problems is thoroughly explained in this paper. For the sake of validation, we consider a two-dimensional geometry of an idealized periodic soft magnetic composite. © 2018 Society for Industrial and Applied Mathematics.
Disciplines :
Electrical & electronics engineering
Author, co-author :
Niyonzima, Innocent;  Department of Mechanical Engineering, Columbia University, New York, NY, United States
Sabariego, Ruth Vazquez;  Department of Electrical Engineering (ESAT), KU Leuven, Leuven, Belgium
Dular, Patrick ;  Department of Electrical Engineering and Computer Science, Universite de Liege, Liege, Belgium
Jacques, Kevin ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Geuzaine, Christophe  ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Language :
English
Title :
Multiscale finite element modeling of nonlinear magnetoquasistatic problems using magnetic induction conforming formulations
Publication date :
2018
Journal title :
Multiscale Modeling and Simulation
ISSN :
1540-3459
eISSN :
1540-3467
Publisher :
Society for Industrial and Applied Mathematics Publications
Volume :
16
Issue :
1
Pages :
300-326
Peer reviewed :
Peer Reviewed verified by ORBi
Tags :
CÉCI : Consortium des Équipements de Calcul Intensif
Tier-1 supercomputer
Funders :
KU Leuven - Katholieke Universiteit Leuven [BE]
F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]
Michigan State University
Columbia University [US-NY] [US-NY]
AIPS - Australian Institute of Policy and Science
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since 17 September 2018

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