Analysis of transient conduction and radiation problems using lattice Boltzmann and finite volume methods

In this paper, the lattice Boltzmann method (LBM) and the finite volume method (FVM) are coupled to solve transient conduction and radiation heat transfer problems. They are used to solve the energy equation and get the radiative heat source, respectively. To avoid additional interpolations between these two solvers when adding the radiative heat source to the energy equation, we propose to use the same grid systems for the LBM and FVM. This is achieved by adopting a half way bounce back boundary scheme for LBM. Good agreement with available literature is obtained for both 1D and 2D conditions. Effects of conduction-radiation parameter and scattering albedo on the transient temperature distribution are presented and discussed. The method proposed by this study is efficiently able to solve combined conduction and radiation problems. (C) 2016 Elsevier Ltd. All rights reserved.