Finite Element Treatment of Vortex States in 3D Cubic Superconductors in a Tilted Magnetic Field

Pytdgl: Time-Dependent Ginzburg-Landau in Python

“…The package includes methods for analyzing and visualizing simulation results as a function of both space and time. These capabilities make pyTDGL a valuable addition to the computational toolbox for modeling superconductors and superconducting devices, which includes opensource [46], closed-source [62], and commercial [63] London-Maxwell solvers, 2D [14,30] and 3D [15,16,33,25] TDGL solvers, and solvers for alternative theories such as the quasiclassical theory of superconductivity [64,65].…”

“…TDGL and gTDGL have been employed on a wide variety of problems of both fundamental and applied interest [11,12,13]. Commercial finite element solvers such as COMSOL have been used to solve the TDGL equations in both two [14] and three dimensions [15,16], and there is an extensive body of literature studying vortex nucleation and dynamics in superconducting devices driven by applied DC [17,18,19,20,21,22,23,24,25] and AC [26,15,27,28] electromagnetic fields. In cases where a commercial solver is not used, the software used to solve the TDGL model may be "bespoke" (i.e., tailored to a specific problem and therefore difficult to generalize), closed-source, sparsely documented, and/or require specialized hardware (e.g., graphics processing units, GPUs).…”

Time-dependent Ginzburg-Landau treatment of rf magnetic vortices in superconductors: Vortex semiloops in a spatially nonuniform magnetic field

“…COMSOL multiphysics simulation software can be used to solve the TDGL equations in both 2D and 3D domains [62,69]. The intuitive interface of the software and automatic algorithm optimization enables researchers to use the TDGL model as a tool without spending too much effort on algorithm development [70].…”