Solidification of a 2-D semitransparent medium using the lattice Boltzmann method and the finite volume method

This article deals with the analysis of solidification of a 2-D semitransparent absorbing, emitting and scattering medium. An enthalpy based formulation was employed to simulate the phase-change process. Solidification was assumed to occur over a range of temperatures, and accordingly distinct liquid-, mushy- and solid-zones were considered. The problem was solved using the lattice Boltzmann method. The finite volume method was used to compute the radiative information required in the LBM formulation. Effects of various parameters such as the extinction coefficient, the scattering albedo, the conduction–radiation parameter and the latent heat were studied on temperature and liquid fraction distributions in the medium. These parameters were found to have significant effect on results.