Implicit integration of the time-dependent Ginzburg-Landau equations of superconductivity.

Journal Article · Fri May 17 04:00:00 EDT 2002 · SIAM J. Sci. Comput.

DOI:https://doi.org/10.1137/S1064827500375473· OSTI ID:943116

Gunter, D O; Kaper, H G; Leaf, G K

This article is concerned with the integration of the time-dependent Ginzburg-Landau (TDGL) equations of superconductivity. Four algorithms, ranging from fully explicit to nonlinearly implicit, are presented and evaluated for stability, accuracy, and compute time. The benchmark problem for the evaluation is the equilibration of a vortex configuration in a superconductor that is embedded in a thin insulator and subject to an applied magnetic field.

• Research Organization: Argonne National Laboratory (ANL)
• Sponsoring Organization: SC
• DOE Contract Number: AC02-06CH11357
• OSTI ID: 943116
• Report Number(s): ANL/MCS/JA-37595
• Journal Information: SIAM J. Sci. Comput., Journal Name: SIAM J. Sci. Comput. Journal Issue: 6 ; May 17, 2002 Vol. 23; ISSN 1064-8275; ISSN SJOCE3
• Country of Publication: United States
• Language: ENGLISH

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
97 MATHEMATICS AND COMPUTING
99 GENERAL AND MISCELLANEOUS
ACCURACY
ALGORITHMS
BENCHMARKS
CONFIGURATION
EQUATIONS
EVALUATION
GINZBURG-LANDAU THEORY
MAGNETIC FIELDS
STABILITY
SUPERCONDUCTIVITY
SUPERCONDUCTORS