A Lagrangian approach for solving an axisymmetric thermo-electromagnetic problem. Application to time-varying geometry processes
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A Lagrangian approach for solving an axisymmetric thermo-electromagnetic problem. Application to time-varying geometry processesFecha
2024-05Cita bibliográfica
Benítez, 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-y
Resumen
[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.
Palabras clave
Lagrangian methods
Eddy currents
Thermo-electromagnetic
Time dependent domain
Axisymmetric
Eddy currents
Thermo-electromagnetic
Time dependent domain
Axisymmetric
Versión del editor
Derechos
Atribución 4.0 Internacional
ISSN
1019-7168
1572-9044
1572-9044