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<table>
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<tr>
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<th colspan="2">High temperature superconducting wire</th>
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<th colspan="2">2D and 3D models of superconducting wires</th>
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</tr>
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<tr>
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<td style="text-align:center"><img src="Superconductors_screenshot1.png" width=100%></td>
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... | ... | @@ -17,8 +17,32 @@ To run the model, open `helix.pro` with Gmsh. |
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## Additional information
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The example contains 2D and 3D models of superconducting wires, using an
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H-formulation and the Gmsh cohomology solver.
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The model uses a magnetic field formulation and the Gmsh cohomology solver
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[1]. The nonlinear resistivity <math>\rho =
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\frac{E_c}{J_c}\left(\frac{||\vec{J}||}{J_c}\right)^{n-1}</math> in the
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superconducting filaments is linearized as in [3]. The number and layers of
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superconducting filaments, the twist pitch as well as the radius of the
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conducting matrix are parametrizable, and the model can be solved both in 2D and
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in 3D.
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## References
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1. M. Pellikka, S. Suuriniemi, L. Kettunen and C. Geuzaine, [Homology and
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cohomology computation in finite element
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modeling](http://geuz.org/gmsh/doc/preprints/gmsh_homology_preprint.pdf). SIAM
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Journal on Scientific Computing 35(5), pp. 1195-1214, 2013.
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2. A. Stenvall, V. Lahtinen and M. Lyly. An H-formulation-based
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three-dimensional hysteresis loss modelling tool in a simulation including time
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varying applied field and transport current: the fundamental problem and its
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solution. Supercond. Sci. Technol. 27 (2014) 104004 (7pp)
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3. A. Kameni, J. Lambrechts, J.-F. Remacle, S. Mezani, F. Bouillaut and
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C. Geuzaine. [Discontinuous Galerkin Method for Computing Induced Fields in
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Superconducting Materials](http://orbi.ulg.ac.be/handle/2268/113659). IEEE
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Transactions on Magnetics 48(2), pp 591-594, 2012.
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----
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*Model developed by @geuzaine, Abelin Kameni and Antti Stenvall.*
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