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Superconducting axisymmetric finite elements based on a gauged potential variational principle. Part 2: Solutions and numerical resultsThis paper discusses an incremental-iterative nonlinear solution technique for solving the nonlinear finite element equations of the superconducting state of a superconductor. The untreated equations are highly ill-conditioned and are impossible to solve within the typical 16-place double precision supplied by most computers. A combination of matrix scaling and mesh grading techniques is used to reduce the condition number of the tangent stiffness matrix and increase the accuracy of the current carrying boundary layer representation. Numerical results for a one-dimensional model of a time-independent superconductor treated by the Ginzburg-Landau model are presented and discussed. The computed solutions clearly display the Meissner effect of magnetic field expulsion from the central region of the superconductor. These results are compared to the physics of a low-viscosity fluid problem. From this analogy, a physical argument is advanced about the macroscopic behavior of superconductors.
Document ID
19950040961
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Schuler, James J.
(Colorado Univ. Boulder, CO, United States)
Felippa, Carlos A.
(Colorado Univ. Boulder, CO, United States)
Date Acquired
August 16, 2013
Publication Date
June 1, 1994
Publication Information
Publication: Computing Systems in Engineering
Volume: 5
Issue: 3
ISSN: 0956-0521
Subject Category
Solid-State Physics
Accession Number
95A72560
Funding Number(s)
CONTRACT_GRANT: NAG3-934
Distribution Limits
Public
Copyright
Other

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