Simulation of high temperature superconductors and experimental validation

In this work, we present a numerical framework to simulate high temperature superconductor devices. We select the so-called H-formulation, which uses the magnetic field as a state variable, in order to develop an augmented formulation that guarantees the divergence-free condition. However, nodal elements fail in the H−formulation modelling of electromagnetic fields along interfaces between regions with high contrast medium properties, thus Nédélec elements (of arbitrary order) are preferred. The composition of a customized, robust, nonlinear solver completes the exposition of the developed tools to tackle the problem. A set of detailed numerical experiments in 2D/3D shows the availability of the finite element approximation to model the phenomena, including a validation against experimental data.