A new model of the heat transfer in materials: the surfacic potential algorithm

This paper proposes a new simulation method of thermal transfers based on the concepts of Brownian motion via the theory of potential and the characteristics of materials. In our simulation the particles take their origins on the surface and we propose an algorithm called 'Surfacic Potential Algorithm' that allows to determine the cartography of the temperatures. This algorithm has a better convergence than the one resulting from the potential theory and allows to treat adiabatic surfaces. It also includes the thermal heterogeneity of material. Its relevance is verified on thermal problems whose analytical solution is known.