H-Formulation Using the Discontinuous Galerkin Method for the 3-D Modeling of Superconductors

Ludovic Didier Makong Hell Nkatack (1, 2) , Abelin Kameni Ntichi (1) , Loic Queval (1) , Frédéric Bouillault (1) , Philippe Masson (2)

1 GeePs - Laboratoire Génie électrique et électronique de Paris
2 Department of Mechanical Engineering, University of Houston

In this paper, a new approach to model efficiently high-temperature superconductors, whose electrical behavior is characterized by a non-linear power law, in 3-D is investigated. The commonly used non-linear H-formulation will be discretized based on the discontinuous Galerkin method. This numerical approach will likely provide fast simulations through parallel computations. Its application on simple examples, such as a superconducting cube subjected to an external magnetic field, will show robustness, convergence, and fast computations.

Domaines: Electromagnétisme

Ludovic Didier Makong Hell Nkatack, Abelin Kameni Ntichi, Loic Queval, Frédéric Bouillault, Philippe Masson. H-Formulation Using the Discontinuous Galerkin Method for the 3-D Modeling of Superconductors. IEEE Transactions on Magnetics, 2018, 54 (3), pp.7205204. ⟨10.1109/TMAG.2017.2768900⟩. ⟨hal-01692589⟩