Simulation of High Temperature Superconductors and experimental validation

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Abstract

In this work, we present a parallel, fully-distributed finite element numerical framework to simulate the low-frequency electromagnetic behaviour of superconducting devices, which efficiently exploits high performance computing platforms. We select the so-called H-formulation, which uses the magnetic field as a state variable. Nédélec elements (of arbitrary order) are required for an accurate approximation of the H-formulation for modelling electromagnetic fields along interfaces between regions with high contrast medium properties. An h-adaptive mesh refinement technique customized for Nédélec elements leads to a structured fine mesh in areas of interest whereas a smart coarsening is obtained in other regions. The composition of a tailored, robust, parallel nonlinear solver completes the exposition of the developed tools to tackle the problem. First, a comparison against experimental data is performed to show the availability of the finite element approximation to model the physical phenomena. Then, a selected state-of-the-art 3D benchmark is reproduced, focusing on the parallel performance of the algorithms.

Original languageEnglish
Pages (from-to)154-167
Number of pages14
JournalComputer Physics Communications
Volume237
DOIs
Publication statusPublished - 1 Apr 2019
Externally publishedYes

Keywords

  • Adaptive mesh refinement
  • Domain decomposition
  • High temperature superconductors
  • Maxwell equations
  • MPI parallelism
  • Nédélec finite elements

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