A fast semi-implicit finite-difference method for the TDGL equations

JOURNAL OF COMPUTATIONAL PHYSICS

卷:179

Article

Winiecki, T ; Adams, CS

关键词: TDGL;    superconductor;   

DOI  :  10.1006/jcph.2002.7047

来源: Elsevier

【 摘 要 】

We propose a finite-difference algorithm for solving the time-dependent Ginzburg-Landau (TDGL) equation coupled to the appropriate Maxwell equation. The time derivatives are discretized using a second-order semi-implicit scheme, which, for intermediate values of the Ginzburg-Landau parameter K. allows time steps two orders of magnitude larger than commonly, used in explicit schemes. We demonstrate the use of the method by solving a fully three-dimensional problem of a current-carrying wire with longitudinal and transverse magnetic fields. (C) 2002 Elsevier Science (USA).

【 授权许可】

Free