Title :
Discontinuous Galerkin Method for Computing Induced Fields in Superconducting Materials
Author :
Kameni, A. ; Lambrechts, J. ; Remacle, J. -F ; Mezani, S. ; Bouillault, F. ; Geuzaine, C.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Univ. de Liege, Liege, Belgium
Abstract :
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.
Keywords :
Galerkin method; critical current density (superconductivity); diffusion; finite element analysis; finite volume methods; shapes (structures); superconducting materials; 2D vectorial case; computing induced field; constitutive power law; current density; discontinuous Galerkin method; finite element method; finite volume method; nonlinear diffusion problem; standard finite element software; superconducting cylinder; superconducting material; Current density; Equations; Iterative methods; Moment methods; Software; Superconducting magnets; Discontinuous Galerkin method; finite-element method; finite-volume method; nonlinear diffusion; superconductors;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2011.2173664
