Asymptotic Modelling for 3D Eddy Current Problems with a Conductive Thin Layer

Mohammad Issa (1) , Victor Péron (2, 3, 4) , Ronan Perrussel (5)

1 LAPLACE - LAboratoire PLasma et Conversion d'Energie
2 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
3 UPPA - Université de Pau et des Pays de l'Adour
4 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]
5 LAPLACE-GRE - Groupe de Recherche en Electromagnétisme

In this work we derive and analyze an equivalent model for 3D Eddy Current problems with a conductive thin layer of small thickness $\epsilon$. In our model, the conductive sheet is replaced by its mid-surface and their shielding behavior is satisfied by an equivalent transmission conditions on this interface. The transmission conditions are derived asymptotically for vanishing sheet thickness $\epsilon$.

Mots clés: Asymptotic Expansions; Eddy-Current Problems; Thin Conducting Layers; Transmission Conditions

Domaines: Analyse numérique [math.NA]; Energie électrique

Mohammad Issa, Victor Péron, Ronan Perrussel. Asymptotic Modelling for 3D Eddy Current Problems with a Conductive Thin Layer. ACOMEN 2017 - 7th International Conference on Advanced COmputational Methods in ENgineering, Sep 2017, Ghent, Belgium. ⟨hal-01679683⟩