تقرير
A Lagrangian approach for solving an axisymmetric thermo-electromagnetic problem. Application to time-varying geometry processes
| العنوان: | A Lagrangian approach for solving an axisymmetric thermo-electromagnetic problem. Application to time-varying geometry processes |
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| المؤلفون: | Benítez, Marta, Bermúdez, Alfredo, Fontán, Pedro, Martínez, Iván, Salgado, Pilar |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis, 65N30, 65M22, 35Q74, 35Q60 |
| الوصف: | 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 var\'ies 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. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.04377 |
| رقم الأكسشن: | edsarx.2403.04377 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |