Efficient Numerical Modeling of Field Diffusion in High-Temperature Superconducting Wires

Application of a finite-volume front-fixing method to various front-type problems with moving boundaries and nonlinear material properties is extended to two-dimensional (2D) problems. Attention needs to be paid to conservation properties of the algorithm and accurate solutions close to the moving boundaries. Advantages of the method are highlighted, and particular implementation difficulties discussed. The algorithm has been tested against analytical solutions of diffusion problems possessing cylindrical symmetry.