Evaluation of the front-fixing method capabilities for numerical modelling of field diffusion in high-temperature superconducting tapes

Application of a finite-volume front-fixing method for modelling the electric field and associated power loss in high-temperature superconductors - or other similar strongly nonlinear phenomena - is considered. Advantages of the scheme are discussed and implementation challenges highlighted. Particular attention is paid to conservation properties of the algorithm and accurate solutions close to the transition boundaries. The algorithm is tested using an analytical solution for a plane superconducting tape problem with a transport current and a moving front.