Superconducting wire

Revision as of 10:57, 28 October 2015 by Geuzaine (talk | contribs) (Additional information)

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

2D and 3D models of superconducting wires.

Download model archive (
Browse individual model files and modification history

Additional information

To run the model, open with Gmsh.

The model uses an H-formulation and the Gmsh cohomology solver [1][2]. The nonlinear resistivity $\rho=\frac{E_c}{J_c}(\frac{\|\vec{J}\|}{J_c})^{n-1}$ in the superconducting filaments is linearized as in [3]. The number and layers of superconducting filaments, the twist pitch as well as the radius of the conducting matrix are parametrizable, and the model can be solved both in 2D and in 3D.


  1. M. Pellikka, S. Suuriniemi, L. Kettunen and C. Geuzaine, Homology and cohomology computation in finite element modeling. SIAM Journal on Scientific Computing 35(5), pp. 1195-1214, 2013.
  2. A. Stenvall, V. Lahtinen and M. Lyly. An H-formulation-based three-dimensional hysteresis loss modelling tool in a simulation including time varying applied field and transport current: the fundamental problem and its solution. Supercond. Sci. Technol. 27 (2014) 104004 (7pp)
  3. A. Kameni, J. Lambrechts, J.-F. Remacle, S. Mezani, F. Bouillaut and C. Geuzaine. Discontinuous Galerkin Method for Computing Induced Fields in Superconducting Materials. IEEE Transactions on Magnetics 48(2), pp 591-594, 2012.

Model developed by C. Geuzaine, A. Kameni and A. Stenvall.