Numerical Simulation of Melting Problems Using the Lattice Boltzmann Method with the Interfacial Tracking Method

Abstract

A lattice Boltzmann method with an interfacial tracking method is used to solve melting problem in an enclosure. Both conduction- and convection-controlled melting problems are solved to validate the proposed method. For the conduction-controlled melting problem, the results agreed very well with those from the analytical solution. The results for the convection-controlled melting problem also agreed with those in the literature. The proposed approach is valid for numerical simulation of the melting problem.