Léa Penazzi

Construction of a transfer function by the Symbolic Monte Carlo method: application to combined heat transfer in complex geometries

The present manuscript addresses the issues of optimization and analysis of thermal systems, specifically, in the case of conducto-convecto-radiative combined heat transfer in 3D complex geometries. The construction of a transfer function with the Monte Carlo Symbolic method will be based on the existing know-how of the Monte Carlo method in thermal transfers as well as on the tools from the computer graphics community. This transfer function will allow a reliable and fast estimation of the probe temperature for a wide range of parameter values. The Symbolic Monte Carlo method developed up to now in radiation for the identification of radiative properties will be extended to combined conducto-convecto-radiative transfers in complex geometries and will demonstrate its use through application examples in thermal imaging. The interaction with different interlocutors from different fields of research in thermal engineering, such as electronic thermal transfer or inversion problems in thermal engineering, will lead to the development of a transfer function that is complementary to their existing optimization methods. In a more theoretical aspect, there will be a classification of the families of parameters resulting essentially in a reflection on the linearity or non-linearity of the transfer function.