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Communication Dans Un Congrès Année : 2011

Discontinuous Galerkin method for computing induced fields in superconducting materials

Jonathan Lambrechts
  • Fonction : Auteur
Jean-François Remacle
  • Fonction : Auteur
Smail Mezani
Christophe Geuzaine
  • Fonction : Auteur

Résumé

A discontinuous Galerkin method is proposed for computing the current density in superconductors characterized by a constitutive power law between the current density and the electric field. The method is formulated to solve the nonlinear diffusion problem satisfied by the electric field, both in the scalar and 2-D vectorial case. Application examples are given for a superconducting cylinder subjected to an external magnetic field. Results are compared to those given by the mixed finite-element/finite-volume method and those obtained using a standard finite-element software. Efficiency and robustness of the approach are illustrated on an example where the exponent in the power law is spatially dependent.
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hal-00711582 , version 1 (22-02-2022)

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Paternité - Pas d'utilisation commerciale

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Abélin Kameni Ntichi, Jonathan Lambrechts, Jean-François Remacle, Smail Mezani, Frédéric Bouillault, et al.. Discontinuous Galerkin method for computing induced fields in superconducting materials. Compumag 2011, Jul 2011, Sydney, Australia. pp.PC7.10, ⟨10.1109/TMAG.2011.2173664⟩. ⟨hal-00711582⟩
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