Eddy currents and corner singularities
PÉRON, Victor
Laboratoire de Mathématiques et de leurs Applications [Pau] [LMAP]
Advanced 3D Numerical Modeling in Geophysics [Magique 3D]
< Reduce
Laboratoire de Mathématiques et de leurs Applications [Pau] [LMAP]
Advanced 3D Numerical Modeling in Geophysics [Magique 3D]
Language
en
Article de revue
This item was published in
IEEE Transactions on Magnetics. 2012-01, vol. 48, n° 2, p. 679-682
Institute of Electrical and Electronics Engineers
English Abstract
Eddy current problems are addressed in this paper, in a bidimensional setting where the conducting medium is non-magnetic and has a corner singularity. For any fixed skin depth we show that the flux density is bounded near ...Read more >
Eddy current problems are addressed in this paper, in a bidimensional setting where the conducting medium is non-magnetic and has a corner singularity. For any fixed skin depth we show that the flux density is bounded near the corner, unlike the perfect conducting case. Then as the skin depth goes to zero, the first two terms of a multiscale expansion of the magnetic potential are introduced to tackle the magneto-harmonic problem. The heuristics of the method are given and numerical computations illustrate the obtained accuracy.Read less <
English Keywords
eddy current problem
singularity
asymptotic expansion
Origin
Hal imported