Discrete-Ordinate-Lattice-Boltzmann Method for analyzing radiative heat transfer: Application to two-dimensional irregular enclosure

A new Discrete Ordinate-Lattice Boltzmann Method (DO-LBM) is developed by combining DOM and LBM to analyze radiative heat transfer in a two-dimensional irregular enclosure including absorbing, emitting, and scattering media. The accuracy of the proposed method was verified through Chapman-Enskog multi-scale expansion, and non-negativity analysis of the equilibrium distribution function was performed by introducing similarity numbers. Two-dimensional irregular enclosure including curved boundaries and obstacles were considered, and thn numerical results were compared with those obtained by other methods on standard problems. As a result, it was confirmed that the DO-LBM provides a valuable results in simulating radiative heat transfer in a complex boundary structure, which is simple, accurate and can reduce the computational cost compared to other methods.