Finite element framework for modeling conducto-radiative transfers within heterogeneous media at both discrete and continuous scales

The paper compares three distinct conducto-radiative models that can be used for modeling heat transfer at high temperature in view of being integrated within a topology optimization process. Finite elements are extensively used. Non-linearities handled using fixed-point method coupled with Newton–Raphson linearization method. A three-dimensional square lattice is sandwiched between hot and cold plate. discrete mesoscopic scale the reference model. At all conduction-to-radiation regimes, even when radiation predominates, it appears continuous-scale approach, which has been set-up thanks to proper homogenization laws, gives satisfactory results, not case Rosseland approximation homogenized model good candidate future problems.