Electrical fields simulation in heterogenous domains using the proper generalized decomposition

Abstract

Recently microwave heating is replacing classical methods in composite manufacturing processes. In fact one of the advantages of microwave heating is achieving a volumetric heating, which can improve the final material properties. However electrical and magnetic fields propagation is complicated to simulate and understand inside a heterogeneous domain. In fact, carbon fibers are highly conductor with respect to the composite matrix. Such behavior would alter the wave propagation inside the part and reduces the desired volumetric heating effects. In this work, we simulate the propagation of electric fields inside a heterogeneous part by using the Proper Generalized Decomposition (known as PGD). In fact this method helps us achieving full 3D simulations by the complexity of few 1D simulations.