Numerical analysis of solidification of a 3-D semitransparent medium in presence of volumetric radiation

Solidification of a 3-D cubical semitransparent absorbing, emitting and scattering semitransparent medium in the presence of volumetric radiation is analyzed. An enthalpy based lattice Boltzmann method is used to analyze the solidification process. Radiative information is computed using the finite volume method. Over a range of temperatures, a distinct liquid-, mushy- and solid-zones are considered. Cases of both Dirichlet and Neumann boundary conditions are taken up. Liquid fraction and temperature distributions in the medium are analyzed for the effects of the extinction coefficient, the scattering albedo, the conduction-radiation parameter and the latent heat.