View source for Superconducting wire

{{metamodelGetDP|superconductors}}

== Additional information ==

To run the model, open '''helix.pro''' with Gmsh.

The model uses an [[Magnetodynamics with cohomology conditions#Problem definition|H-formulation]] and the Gmsh cohomology solver <ref name= Pellika2013 /><ref name=Stenvall2014 />. The nonlinear resistivity $\rho=\frac{E_c}{J_c}(\frac{\|\vec{J}\|}{J_c})^{n-1}$ in the superconducting filaments is linearized as in <ref name=Kameni2012 />. 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 ==

<references>

<ref name=Pellika2013> M. Pellikka, S. Suuriniemi, L. Kettunen and C. Geuzaine, [http://geuz.org/gmsh/doc/preprints/gmsh_homology_preprint.pdf Homology and cohomology computation in finite element modeling]. SIAM Journal on Scientific Computing 35(5), pp. 1195-1214, 2013.</ref>

<ref name=Stenvall2014>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)</ref>

<ref name=Kameni2012>A. Kameni, J. Lambrechts, J.-F. Remacle, S. Mezani, F. Bouillaut and C. Geuzaine. [http://orbi.ulg.ac.be/handle/2268/113659 Discontinuous Galerkin Method for Computing Induced Fields in Superconducting Materials]. IEEE Transactions on Magnetics 48(2), pp 591-594, 2012.</ref>

</references>

{{metamodelfooter|superconductors}}