Benítez, MartaBermúdez, AlfredoFontán, PedroMartínez, IvánSalgado, Pilar2024-05-242024-05-242024-05Benítez, M., Bermúdez, A., Fontán, P. et al. A Lagrangian approach for solving an axisymmetric thermo-electromagnetic problem. Application to time-varying geometry processes. Adv Comput Math 50, 45 (2024). https://doi.org/10.1007/s10444-024-10121-y1019-71681572-9044http://hdl.handle.net/2183/36624[Abstract]: The aim of this work is to introduce a thermo-electromagnetic model for calculating the temperature and the power dissipated in cylindrical pieces whose geometry varies with time and undergoes large deformations; the motion will be a known data. The work will be a first step towards building a complete thermo-electromagnetic-mechanical model suitable for simulating electrically assisted forming processes, which is the main motivation of the work. The electromagnetic model will be obtained from the time-harmonic eddy current problem with an in-plane current; the source will be given in terms of currents or voltages defined at some parts of the boundary. Finite element methods based on a Lagrangian weak formulation will be used for the numerical solution. This approach will avoid the need to compute and remesh the thermo-electromagnetic domain along the time. The numerical tools will be implemented in FEniCS and validated by using a suitable test also solved in Eulerian coordinates.engAtribución 4.0 Internacionalhttp://creativecommons.org/licenses/by/3.0/es/Lagrangian methodsEddy currentsThermo-electromagneticTime dependent domainAxisymmetricjournal articleopen access10.1007/s10444-024-10121-y