A Lagrangian approach for solving an axisymmetric thermo-electromagnetic problem. Application to time-varying geometry processes
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911790838841344 |
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| author | Benítez, Marta Bermúdez, Alfredo Fontán, Pedro Martínez, Iván Salgado, Pilar |
| author_facet | Benítez, Marta Bermúdez, Alfredo Fontán, Pedro Martínez, Iván Salgado, Pilar |
| contents | 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 varíes with time and undergoes large deformations; the motion will be a known data. The work will be a first step towards building a complete thermoelectromagnetic-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 inplane current; the source will be given in terms of currents or voltages defined at sorne 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_04377 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Lagrangian approach for solving an axisymmetric thermo-electromagnetic problem. Application to time-varying geometry processes Benítez, Marta Bermúdez, Alfredo Fontán, Pedro Martínez, Iván Salgado, Pilar Numerical Analysis 65N30, 65M22, 35Q74, 35Q60 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 varíes with time and undergoes large deformations; the motion will be a known data. The work will be a first step towards building a complete thermoelectromagnetic-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 inplane current; the source will be given in terms of currents or voltages defined at sorne 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. |
| title | A Lagrangian approach for solving an axisymmetric thermo-electromagnetic problem. Application to time-varying geometry processes |
| topic | Numerical Analysis 65N30, 65M22, 35Q74, 35Q60 |
| url | https://arxiv.org/abs/2403.04377 |