A Fast Semi-Implicit Finite-Difference Method for the TDGL Equations

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In this Subject: Physics (General)
By this author: Adams C.S.

Author: Adams C.S.

Source: Journal of Computational Physics, Volume 179, Number 1, June 2002 , pp. 127-139(13)

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Abstract:

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 kappa , 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. © 2002 Elsevier Science (USA).