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

• Published in: IEEE transactions on magnetics Vol. 46; no. 8; pp. 3173 - 3176
• Main Authors: Golosnoy, Igor O., Sykulski, Jan K.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: New York, NY IEEE 01.08.2010; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithm design and analysis; Algorithms; Boundaries; Coupled problems; Cross-disciplinary physics: materials science; rheology; Current density; Diffusion; Electromagnetic coupling; Equations; Exact sciences and technology; front-fixing method; Grid computing; High temperature superconductors; Magnetism; Material properties; Materials science; Mathematical analysis; Mathematical models; moving boundary problems; Numerical models; Other topics in materials science; Physics; Superconducting filaments and wires; Superconductivity; Testing; Two dimensional; Wire; Superconductors; Temperature; Scattering; Coupled problems; moving boundary problems; front-fixing method; Modelling; High temperature; Wire; Magnetic properties
• ISSN: 0018-9464; 1941-0069
• DOI: 10.1109/TMAG.2010.2043718

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.