Un exemple de modélisation numérique en couplages multiphysiques: analyse et optimisation du chauffage par induction

Abstract

Induction heating processes are typical of problems involving multiphysics coupling (electromagnetic, thermal and mechanical). Efficient optimization of these processes now has to rely on a numerical approach. We first provide here an overview of the mathematical model and the numerical methods which have been developed, and specifically the ultra-weak coupling procedure; experimental results enable validation of the numerical tool developed in our laboratory. A parallel version has been developed in order to reduce computational time costs. An inverse analysis procedure enables accurate identification of material physical parameters necessary in order to run numerical simulation of the process. The optimization problem has been formulated as the minimization of an objective function which depends on temperature evolution through the control of some electromagnetic input parameters. Specific attention has been paid to the transposition of the direct ultra-weak coupling strategy to the adjoint problem resolution. Examples of optimization tests applied on induction heating processes show the applicability and robustness of developed algorithms.