Numerical Study of Melting/Solidification by a Hybrid Method Coupling a Lattice Boltzmann and a Finite Volumes Approaches

Abstract

In this paper, we propose a hybrid method coupling a Lattice Boltzmann Method (LBM) and a Finite Volume Method (FVM), to study melting and solidification problems. The LBM is used to determine the dynamics field while the FVM is applied to discretize the energy equation. This model is validated by comparison to available literature results concerning a square cavity heated without phase change then for the melting of Gallium in an enclosure commonly used as benchmark test case.