Combined conductive-convective-radiative heat transfer in complex geometry using the Monte Carlo method

Deterministic methods are commonly used to solve coupled conductive-convective-radiative systems in threedimensional geometries (3D). With the increasing amount and accuracy of data available, and growing complexity of systems studied, these methods have to deal with endless increases in computation times. This article presents a stochastic method for the simulation of the heat balance equation in solids and fluids with known velocity fields, as well as coupled surface to surface radiative transfers. The construction of the corresponding algorithm is comprehensively detailed and results are compared to deterministic simulations. The presented method uses a Monte Carlo approach and is shown to preserve short computation times for complex geometries.