A Lagrangian approach for solving an axisymmetric thermo-electromagnetic problem. Application to time-varying geometry processes

• DOI: 10.1007/s10444-024-10121-y
• Publication Date: 2024-05-08T07:01:47Z
• Authors: Marta Benítez; Alfredo Bermúdez; Pedro Fontán; Iván Martínez; Pilar Salgado
• Keywords: Eddy currents; 65N30, 65M22, 35Q74, 35Q60; Axisymmetric; FOS: Mathematics; Lagrangian methods; Mathematics - Numerical Analysis; Numerical Analysis (math.NA); 0101 mathematics; Time dependent domain; Thermo-electromagnetic

Abstract The aim of this work is to introduce a thermo-electromagnetic model for calculating the temperature and power dissipated in cylindrical pieces whose geometry varies with time undergoes large deformations; motion will be known data. first step towards building complete thermo-electromagnetic-mechanical suitable simulating electrically assisted forming processes, which main motivation work. electromagnetic obtained from time-harmonic eddy current problem an in-plane current; source given terms currents or voltages defined at some parts boundary. Finite element methods based on Lagrangian weak formulation used numerical solution. This approach avoid need compute remesh domain along time. tools implemented FEniCS validated by using test also solved Eulerian coordinates.