3-D Modeling of Heterogeneous and Anisotropic Superconducting Media

In this paper, we investigate the 3-D computation of the current distribution in the heterogeneous superconducting media with a discontinuous anisotropic E-J constitutive power law. The resulting 3-D vectorial non-linear diffusion problem satisfied by the electric field is solved in each region of the media with a discontinuous Galerkin method combined with a 3-D semi-implicit scheme recently proposed for the 3-D modeling of homogeneous bulk superconductors. Numerical applications on the media consisting of two embedded anisotropic superconducting regions with and without a conductive matrix are computed. Both critical current density J
_c
and power law exponent n are uniform in each region but discontinuous in the media. The results will show the continuity of the diffusion phenomena in the media and the differences between both isotropic and anisotropic cases under an applied axial sinusoidal magnetic field.