2D and 3D models of superconducting wires | |
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Browse model files — Download zip archive |

## Quick start

To run the model, open `helix.pro`

with Gmsh.

## Additional information

The model uses a magnetic field formulation and the Gmsh cohomology solver
[1]. The nonlinear resistivity `\rho =\frac{E_c}{J_c}\left(\frac{||\vec{J}||}{J_c}\right)^{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.

## References

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.

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)

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 @geuzaine, Abelin Kameni and Antti Stenvall.*