Title :
Finite-element calculation of Meissner currents in multiply connected superconductors
Author :
Cordier, C. ; Flament, S. ; Dubuc, C.
Author_Institution :
GREYC-CNRS UPRES, Caen Univ., France
Abstract :
A three-dimensional (3D) finite-element formulation for calculating Meissner currents in multiply connected superconductors is presented. The fluxoid quantization condition is ensured as simply as possible. The problem is formulated so that we have to solve two systems of equations by the use of a conjugate gradient algorithm without preconditioning. Meissner currents and magnetic-flux density are numerically evaluated in a superconducting tube and around a vortex. These results are compared with analytical solutions.
Keywords :
Meissner effect; conjugate gradient methods; finite element analysis; Meissner current; conjugate gradient algorithm; fluxoid quantization; magnetic flux density; multiply connected superconductor; numerical simulation; superconducting tube; three-dimensional finite element model; vortex; Equations; Finite element methods; Magnetic flux; Magnetic flux density; Quantization; SQUIDs; Superconducting coils; Superconducting magnets; Superconductivity; Writing;
Journal_Title :
Applied Superconductivity, IEEE Transactions on
