Application of Hybrid Method Based On MRT-Lattice Boltzmann and Finite Difference to Study Heat Transfer in Three Dimensions

Abstract

Abstract The importance of studying the cooling of electronic components, which can be represented by obstacles, by natural or forced convection, has led our research laboratory to study this type of problem in 2D for many years. In this present article, the code is developed to be able to simulate heat transfers in 3D using a hybrid method. This approach is built on two numerical approaches viz the “Lattice Boltzmann method” (LBM) for the study of the fluid flow and the “Finite Difference Method” (FDM) for the calculation of the temperature field. The present numerical code is validated in the case of natural convection in a cubic cavity packed with air. Subsequently, the heat exchange between two cold vertical walls and a heated obstacle placed at center of cavity is studied.